Statistics


Questions

# Description Question
13952

stattistics for prof stan only as discussed

 




Bottle Number




Ounces




Bottle Number




Ounces




Bottle Number




Ounces




1




14.23




11




15.77




21




16.23




2




14.32




12




15.80




22




16.25




3




14.98




13




15.82




23




16.31




4




15.00




14




15.87




24




16.32




5




15.11




15




15.98




25




16.34




6




15.21




16




16.00




26




16.46




7




15.42




17




16.02




27




16.47




8




15.47




18




16.05




28




16.51




9




15.65




19




16.21




29




16.91




10




15.74




20




16.21




30




16.96

 

 

STATISTICS
13855
Written Assignment 12
NAME:
POINTS:
/18
1. (3 points) A student scored
670
on the mathematics part of the SAT. For that par-
ticular exam, the distribution of the scores was normal with mean
514
and standard
deviation
118
. Find the
z
-score of this student.
2. Consider the following set of numbers
98 59 67 68 63 7 93 63 94 17
78 76 15 78 67 46 43 39 82 96
89 27 98 46 21 19 91 77 99 82
(a) (3 points) Find the five-number summary for this block of numbers.
(b) (3 points) Construct a box-and-whiskers plot (boxplot) of the data.
3. (3 points) The heights of women aged
20
to
29
in the United States are approximately
normally distributed with mean
64
:
2
inches and standard deviation
2
:
8
inches. What
is the probability that a womon is taller than
68
inches (
5
foot
8
inches)?
4. (3 points) The heights of men aged
20
to
29
in the United States are approximately
normally distributed with mean
69
:
4
inches and standard deviation
3
:
0
inches. What
is the probability that a man is shorter than
72
inches (
6
foot even)?
5. (3 points) The generic fruit fly is the most studied organism in genetic research be-
cause it is small, is easy to grow, and reproduces rapidly. The length of the thorax
(where the wings and legs attach) in a population of male fruit flies is approximately
Normal with mean
0
:
800
millimeters and standard deviation
0
:
0078
millimeters. What
proportion of male fruit flies have thorax length between
0
:
6
mm and
0
:
9
mm?
 
z score problems / statistics
13844

message me for login details it is online PROFSTAN

Need one math problem done
13837

Only five questions all only have one part and are relatively easy. Need it done by tomorrow at 4 PM central time thats why the high price im willing to pay.       need numbers 3-7 completed i already have the first two done thank you

Probabilities
13825

 

POINTS:                /21

 

1. Use a truth table to determine if the following arguments are valid or invalid. If the argument is not valid, determine which lines of the table fail to be true.

(a)    (3 points)

 

If it is raining, I will need to pack an umbrella.

 

I do not pack an umbrella

 

Therefore, it is not raining.

(b) (3 points)

 

If my daughter goes on a date, I will constantly text her.

 

If my daughter doesn’t go a date, she will do her homework.

 

I constantly text on my daughter.

 

My daughter didn’t do her homework.

2.   (3 points) Consider only the smallest individual cube and assume solid stacks. Determine the number of cubes in each stack that are not visible from the perspective show:


3.   (3 points) The high school math club consists of four people: Paul, Rachael, Ryan, Emily. Using a tree diagram, list all the possible ways to elect a president, vice-president, and treasurer, assuming each student can only be elected to one position.

 

4.   (3 points) Consider the workers Fred, Michael, Edith, Sam, Wilma, and Vicky. Their boss needs to select two of them to perform a certain task. Using a prod-uct table, list all the possible ways the boss could pick two people to perform the task. Hint: The two people must be distinct, and the order in which they are chosen doesn’t matter.

 

5.   (3 points) Count number of 8-character license plates containing the letters A, B, C, D, E and digits 0-9 if the first two characters have to be letters, the third through seventh characters have to be digits, and last character can either be an odd digit or a vowel. Repetition of letters and numbers is allowed.

 

6.   (3 points) A hockey team consists of six players: a center, two wings, two de-fense, and one goalie. How many teams are possible from a pool of 15 people, assigning each person to a specific position?

 

 

7.  (3 points) A urn contain 3 red balls, 4 blue balls, and 5 yellow balls. If you pick six balls from the urn and don’t replace them, how many ways are there to pick 1 red ball, 2 blue balls, and 3 red balls? 

Truth Table and Tree diagram, and product tables only 7 questions,,,,,,due tomorrow by 3 pm Central Time EASY MONEY
13822 1. Using a neat diagram identify a Bayesian network that can be used to identify if a patient is affected by diabetes (50 points). (Hint: The Bayesian network diagram could be developed using MS Visio or IHMC CMap Tools, a freely downloadable tool) 2. Using an example explain how Bayesian networks could be used to implement personalized medicine in terms of drug selection and dosing. (30 Points) 3. Using an example explain how rules and expressions can be used to provide alerts on drug usage for an individual patient. (20 points) Neat Diagram- Bayesian Belief
13809

Due in week 10 and worth 30 points

 

Suppose that there are two (2) candidates (i.e., Jones and Johns) in the upcoming presidential election.  Sara notes that she has discussed the presidential election candidates with 15 friends, and 10 said that they are voting for candidate Jones. Sara is therefore convinced that candidate Jones will win the election because Jones gets more than 50% of votes.

 

Answer the following questions in the space provided below:

1.      Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not?

2.      How many friend samples Sara should have in order to draw the conclusion with 95% confidence interval? Why?

3.      How would you explain your conclusion to Sara without using any statistical jargon? Why?

 

 

Type your answers below and submit this file in Week 10 of the online course shell:

Homework Assignment 9
13808 See message. Need the excel too Assignment 9 business statistics Profstan
13806

Practice Exam 1

 

Name___________________________________

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Determine whether the set is well defined.

1)

The set of the best luggage

 

1)

 

A) not well defined

B) well defined

 

2)

The set of five countries in Europe having the smallest population

2)

 

A) not well defined

B) well defined

 

Identify the set as finite or infinite.

3)

{8, 9, 10, . . ., 32}

 

 

3)

 

 

A) Infinite

 

B) Finite

 

 

4)

{1,

1

,

1

,

1

, . . .}

 

 

4)

 

 

16

64

 

 

 

 

4

 

 

 

 

 

 

 

 

A) Finite

 

B) Infinite

 

 

5)

{x|x is a fraction between 67 and 68}

 

5)

 

 

A) Infinite

 

B) Finite

 

 

Express the set in roster form.

 

 

 

 

6)

{x|x is a whole number between 3 and 7}

 

6)

 

 

A) {4, 5, 6, 7}

B) {3, 4, 5, 6}

C) {4, 5, 6}

D) {3, 4, 5, 6, 7}

 

7)

{x|x is an integer between 6 and 10}

 

7)

 

 

A) {7, 8, 9}

B) {6, 7, 8, 9}

C) {6, 7, 8, 9, 10}

D) {7, 8, 9, 10}

 

8)

The set of the days of the week

 

8)

 

A)  {Tuesday, Thursday}

B)  {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}

C)  {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Sunday}

D)  {Saturday, Sunday}

Tell whether the statement is true or false. If false, give the reason.

9)

10   {20, 30, 40, 50, 60}

9)

 

A) True

B) False; 10 is a set.

 

C) False; 10 is a factor of the elements.

D) False; 10 is not an element of the set.

10)

{2, 10, 13} = {0, 2, 10, 13}

10)

 

A) False; 0 must be an element of both sets.

B) True

 

C) False; each set must have 4 elements.

D) False; 0 is not a valid member of a set.


 

 

 

 

 

 

 

 

1


11)  17   {16, 14, 13, . . ., 1}

 

A)  False; 17 is an element of the set.

B)  False; 17 is smaller than the elements of the set.

C)  True

D)  False; 17 is a set.

 

Find n(A) for the set.

12)

A = {200, 201, 202, . . ., 2000}

 

 

 

A) n(A) = 1801

B) n(A) = 4

C) n(A) = 1800

13)

A = {3, 5, 7, 9, 11}

 

 

 

A) n(A) = 5

B) n(A) = 2

C) n(A) = 11

 

Determine whether the sets are equal, equivalent, both, or neither.

14)

{L, M, N, O} and {l, m, n, o}

 

 

 

A) Both

B) Equivalent

C) Neither

15)

{13, 85, 16} and {85, 16, 13}

 

 

 

A) Equal

B) Both

C) Equivalent

 

Let A = {1, 3, 5, 7}

B = {5, 6, 7, 8}

C = {5, 8}

D = {2, 5, 8}

U = {1, 2, 3, 4, 5, 6, 7, 8}.

Determine whether the statement is true or false.

16)  C   D

A)  False; C is not a subset of D.

B)  False; D is a subset of C.

C)  False; the elements are the same in C and D.

D)  True

 

17)  D   B

A)  False; the elements are the same.

B)  True

C)  False; the elements are not the same.

D)  False; the sets must have the same number of elements.

 

18)  A  {7, 5, 3, 1}

 

A)  False; A has different elements than those listed.

B)  True

C)  False; the elements in A are in a different order.

D)  False; the elements in A are the same as those listed.

 

Use  ,  ,  , or both   and   to make a true statement.

19)

{4, 5, 6}

{3, 4, 5, 6}

 

 

 

 

A)

 

 

B)   and

C)

 

20)

 

{8, 16, 27, 31}

 

 

 

 

 

 

 

B)

C)

 

 

 

A)

 

 

 

 

                 

11)

 

 

 

 

 

 

12)

D) n(A) = 2000

13)

D) n(A) = 4

 

14)

D) Equal

15)

D) Neither

 

 

 

 

 

 

 

 

16)

 

 

 

 

 

17)

 

 

 

 

 

18)

 

 

 

 

 

 

19)

D)

 

20)

D)   and


 

2


21) {11, 12, 13}

{11, 12, 13}

 

 

21)

 

A)

 

 

B)

C)   and

D)

 

 

 

 

List all subsets or determine the number of subsets as requested.

22)

Determine the number of subsets of {8, 9, 10}

 

22)

 

A) 7

B) 6

C) 3

D) 8

23)

List all the subsets of {bear, dog, sheep}.

 

23)

         

A)  {bear, dog}, {bear, sheep}, {dog, sheep}, {bear}, {dog}, {sheep}

B)  {bear, dog, sheep}, {bear, dog}, {bear, sheep}, {dog, sheep}, {bear}, {dog}, {sheep}, { }

C)  {bear, dog}, {bear, sheep}, {dog, sheep}, {bear}, {dog}, {sheep}, { }

D)  {bear, dog, sheep}, {bear, dog}, {bear, sheep}, {dog, sheep}, {bear}, {dog}, {sheep}

If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D, write "false." Assume that C

, U, and C   U.

 

24)

C

24)

 

A) True

B) False

25)

C   U

25)

 

A) True

B) False

26)

U

26)

 

A) True

B) False

For the given sets, construct a Venn diagram and place the elements in the proper region.

27)

Let U = {c, d, g, h, k, u, q}

27)

 

A = {d, h, g, q}

 

 

B = {c, d, h, u}

 

 

 

 

 

 

 

 

A)                                                                        B)

 

 

 

 

 

 

 

 

Let U = {all soda pops}, A = {all diet soda pops},

B = {all cola soda pops}, C = {all soda pops in cans},

and D = {all caffeine-free soda pops}. Describe the

set in words.

28) A   B                                                                                                                                             28)

A) All diet cola soda pops                                      B) All diet or all cola soda pops

C) All diet and all cola soda pops                          D) All soda pops


 

 

3


29) A   B   D                                                                                                                                        29)

A) All soda pops not in cans                                  B) All diet and all cola and all caffeine-free

soda pops

C) All diet, caffeine-free cola soda pops                  D) All diet, caffeine-free cola pops in cans

 

 

Use the Venn diagram to list the set of elements in roster form.

30) Find A.

30)

9

x   p

 

6

3

h

 

A) {9, 3, 6}

 

B) {6, x, p, h}

C) {6}

D) {9, 3, 6, x}

 

31) Find A   B.

 

 

 

31)

 

h

e

b

 

 

 

n

j

u

 

 

 

m

 

 

 

 

 

A) {m}

 

 

B) {e, j}

 

 

C) {b, e, j, h, m, n, u}

D) {b, e, j, h, n, u}

 

 

32) Find (A   B)'.

 

 

 

32)

 

7

4

z   q

 

 

 

2

h

 

 

 

 

 

 

 

A) {7}

 

B) {7, 2, 4, z, q, h}

C)

D) {7, 2, 4}

 

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}.

Determine the following.

33)

(A   B)'

 

 

33)

 

A) {r, s, t, u, v, w, x, z}

 

B) {s, u, w}

 

 

C) {t, v, x}

 

D) {r, t, v, x}

 

34)

A  (B   C)

 

 

34)

 

A) {q, y, z}

B) {q, s, u, w, y, z}

C) {q, r, w, y, z}

D) {q, w, y}


 

 

 

 

4


Let U = {q, r, s, t, u, v, w, x, y, z}

 

 

 

A = {q, s, u, w, y}

 

 

 

B = {q, s, y, z}

 

 

 

C = {v, w, x, y, z}

 

 

 

Determine the following.

 

 

 

35)

A   (B   C)

 

 

35)

 

A) {q, s, w, y}

B) {q, s, u, w, y, z}

C) {q, r, w, y, z}

D) {q, y, z}

36)

(A'   C)   B'

 

 

36)

 

A) {r, t, u, v, w, s, y, z}

 

B) {y, z}

 

 

C) {v, x}

 

D) {r, t, v, w, x}

 

Construct a Venn diagram illustrating the following sets.

 

 

37)

U = {2, 4, 6, 8, 10, 12}

 

 

37)

 

A = {2, 6, 10}

 

 

 

B = {2, 4, 8}

C = {2, 8, 10, 12}

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A)                                                                        B)


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5


C)                                                                       D)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Use the Venn diagram shown to list the set in roster form.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

38)

B

38)

 

A) {4, 12}

B) {7, 14}

 

C) {4, 7, 11, 12, 14}

D) {0, 4, 7, 11, 12, 14}

39)

B  C

39)

 

A) {2, 4, 7, 8, 10, 11, 12, 13, 14}

B) {4, 11, 12}

 

C) {2, 4, 7, 8, 10, 12, 13, 14}

D) {2, 7, 8, 10,14}

40)

(A   B)'

40)

 

A) {1, 2, 3, 5, 6, 9, 10}

B) {11}

 

C) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14}

D) {1, 2, 5, 8, 10}

Use Venn diagrams to determine whether the following statements are equal for all sets A and B.

41) (A   B)', A'   B'

41)

A) equal

B) not equal

42) (A'   B)', A   B'

42)

A) equal

B) not equal


 

 

 

 

 

 

 

 

6


Solve the problem.

43)

Results of a survey of fifty students indicate that 30 like red jelly beans, 29 like green jelly beans,

43)

 

and 17 like both red and green jelly beans. How many of the students surveyed like red or green

 

 

jelly beans?

 

 

 

 

 

A) 13

B) 25

C) 17

D) 42

 

44)

Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in

44)

 

an upcoming election. Of the 800 respondents, 300 support neither Moore nor Allen, 100 support

 

 

both Moore and Allen, and 250 support only Moore. How many residents support Allen?

 

 

A) 250

B) 400

C) 150

D) 100

 

45)

A local television station sends out questionnaires to determine if viewers would rather see a

45)

 

documentary, an interview show, or reruns of a game show. There were 300 responses with the

 

 

following results:

 

 

 

 

90 were interested in an interview show and a documentary, but not reruns. 12 were interested in an interview show and reruns but not a documentary 42 were interested in reruns but not an interview show.

 

72 were interested in an interview show but not a documentary. 30 were interested in a documentary and reruns.

18 were interested in an interview show and reruns.

24 were interested in none of the three.

 

How many are interested in exactly one kind of show?

A) 154

B) 144

C) 134

D) 124

46) A survey of 160 families showed that

 

46)

59 had a dog;

 

 

 

46 had a cat;

 

 

 

19 had a dog and a cat;

 

 

 

63 had neither a cat nor a dog nor a parakeet;

 

 

3 had a cat and dog and a parakeet.

 

 

How many had a parakeet only?

 

 

A) 21

B) 26

C) 16

D) 11

 

Statistics practice questions
13805

MATH 1630

Name___________________________________

Exam 1 Review Problems

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question

 

 

Decide whether the argument is an example of inductive or deductive reasoning.

 

 

1)

The last four answers were false. Therefore, the next will be false.

1)

 

 

A) Inductive

B) Deductive

 

 

2)

Fresh fruit costs more in winter. This is January. Therefore these fresh strawberries will cost more.

2)

 

 

A) Inductive

B) Deductive

 

 

3)

23 + 17 = 40, 43 + 47 = 90, 31 + 3 = 34. Therefore, the sum of two prime numbers is even.

3)

 

 

A) Deductive

B) Inductive

 

 

 

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

Determine the most probable next term in the sequence.

 

 

4)

34, 28, 22, 16, 10

4)

 

5)

 

3

,

5

,

7

,

9

,

11

 

5)

 

2

4

6

8

10

 

 

 

 

 

 

 

 

 

 

6)

1, 4, 2, 8, 4, 16

 

6)

 

Use inductive reasoning to predict the next equation.

 

 

7) 6 × 8 = 7 × 9 - 15

7)

 

 

8 × 10 = 9 × 11 - 19

 

 

8)

(5 × 1) x (2 × 1) = 10

8)

 

 

(5 × 10) x (2 × 2) = 200

 

 

 

(5 × 100) x (2 × 3) = 3000

 

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.


 

Use the method of Gauss to find the sum.

 

9) 1

+ 2 + 3 + ... + 850

 

 

 

A) 722,500

B) 361,250

10)

1

+ 2 + 3 + ... + 875

 

 

 

A) 767,376

B) 383,250

Use the indicated formula to find the sum.

11)

Use S = n2 to find the sum of 1 + 3 + 5 + ... + 701.

 

 

A) 122,500

B) 123,200

12)

Use S = n2 to find the sum of 1 + 3 + 5 + ... + 999.

 

 

A) 249,001

B) 498,002


 

 

 

 

9)

C) 180,625

D) 361,675

 

10)

C) 382,812.5

D) 191,406.25

 

11)

C) 123,201

D) 123,202

 

12)

C) 62,500

D) 250,000


 

 

1


Use the method of successive differences to determine the next term in the sequence.

 

13) 14, 20, 31, 47, 68, ...

 

 

13)

A) 98

B) 89

C) 99

D) 94

14) 10, 22, 82, 190, 346, ...

 

 

14)

A) 550

B) 597

C) 598

D) 502

Determine what the next equation would be, and verify that it is indeed a true statement.

 

15) 14 + 41 = 55                                                                                                                                15)

15 + 51 = 66

 

 

A) 44

+ 33 = 77

B) 61

+ 16 = 77

C) 16

+ 61 = 82

D) 16 + 61

= 77

16) 32

+ 10 = 42

 

 

 

 

 

16)

43

+ 21 = 64

 

 

 

 

 

 

54

+ 32 = 86

 

 

 

 

 

 

 

A) 56

+ 43 = 99

B) 65

+ 43 = 108

C) 65

+ 32 = 97

D) 64 + 53

= 117

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

Solve the problem using inductive reasoning.

 

17) How many line segments are determined by joining dots on the last two circles?

17)

 

 

 

 

 

 

 

3 segments

6 segments

 

segments

 

segments

 

18) Find the number of games played in a round robin tournament for the given numbers of

18)

teams. In a round robin tournament every team plays every other team once.

 

 

 

 

 

 

 

 

 

 

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Use problem solving strategies to solve the problem.

 

19) A rabbit grows so that every 2 months it doubles in weight. However, the rabbit will never go over 19) 75 pounds. If a bunny is born on July 15th, weighing 2 pounds, in which month will it weigh 46

pounds?

 

A) August                       B) February                    C) April                          D) July


 

 

 

 

 

2


20) Kelly is older than Donna but younger than Brenda. Donna is younger than Brandon. What is the

20)

first letter in the name of the oldest person?

 

 

 

A) B

B) D

C) K

D) S

 

         

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

Solve the problem.

 

21) If you raise 9 to the 387th power, what is the units digit of the result?

21)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

22) If you raise 4 to the 214th power, what is the units digit of the result?

22)

A) 2

B) 6

C) 4

D) 8

       

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

List the elements in the set.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

23)

{x | x is an integer between 3 and 7}

 

 

 

23)

 

24)

{x | x is a negative multiple of 5}

 

 

 

24)

 

25)

{x | x is a counting number less than -4}

25)

 

Identify the set as finite or infinite.

 

 

 

 

 

 

 

26)

{x | x is an odd counting number}

 

 

 

26)

 

27)

 

5

 

,

25

,

 

125

, ...,

 

 

3125

 

 

 

 

 

 

 

 

27)

 

 

 

1,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7

 

49

 

 

343

 

 

 

16807

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Find n(A) for the set.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

28)

A = {300, 301, 302, ..., 3000}

 

 

 

 

 

28)

 

29)

A = {x | x is a month in the year}

 

 

 

29)

 

 

 

 

1

 

 

1

 

2

 

 

2

 

 

3

 

 

3

 

19

 

19

 

 

 

 

30)

A =

 

 

 

, -

 

,

, -

 

 

,

, -

 

, ...,

, -

 

 

30)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

 

 

 

2

 

3

 

 

3

4

 

4

 

20

 

20

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Tell whether the statement is true or false.

 

 

 

 

 

31)

{6} = {x | x is an even counting number between 8 and 14}

31)

 

32)

{s, q, y, o, d} = {o, d, q, s, y}

 

 

 

 

 

32)

 

33)

9 {x | x is an even counting number}

33)

 


 

 

 

 

 

 

 

 

3


MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question

 

Use or  in the blank to make a true statement.

 

34)

{6, 8, 10}

 

 

{5, 6, 7, 8, 10}

 

 

34)

 

 

A)

 

 

 

 

B)

35)

{5, 23, 28}

 

 

{6, 23, 28, 38}

 

 

35)

 

 

A)

 

 

 

 

B)

36)

∅   ∅

 

 

 

 

36)

 

 

 

 

 

 

 

 

 

 

 

A)

 

 

 

 

B)

37)

{x | x is a counting number larger than 5}   {7, 8, 9, ...}

37)

 

 

A)

 

 

 

 

B)

                     

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

Determine whether the statement is true or false.

 

Let A = {1, 3, 5, 7}

 

B = {5, 6, 7, 8}

 

C = {5, 8}

 

D = {2, 5, 8}

 

U = {1, 2, 3, 4, 5, 6, 7, 8}

 

38)

C D

38)

39)

∅ ⊆ A

39)

40)

{5} D

40)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Find the number of subsets of the set.

 

 

 

41)

{6, 7, 8}

 

 

41)

 

A) 3

B) 7

C) 6

D) 8

42)

{x | x is an even number between 13 and 27}

 

42)

 

A) 128

B) 40

C) 6

D) 64

Find the number of proper subsets of the set.

 

 

43)

{3, 4, 5}

 

 

43)

 

A) 6

B) 2

C) 5

D) 7

44)

{x | x is a day of the week}

 

 

44)

 

A) 127

B) 256

C) 64

D) 128

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.

 

45) Q = {2, 4, b, d}

45)


 

 

4


46)

T = {a, b, c, d}

46)

47)

S =

47)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Solve the problem.

 

 

48)

List all possible subsets of the set {m, n}.

 

48)

 

A) {m}, {n}

B) {m}, {n},

 

 

C) {m}, {n}, {m, n},

D) {m}, {n}, {m, n}

 

49)

A committee is to be formed. Possible candidates for the committee are Eric, Frances, Greg, and

49)

Jose. Denoting these four people by e, f, g, j, list all possible committees of two people (ie list all possible subsets of size two).

 

A) {e, f}, {e, g}, {f, g}, {g, j}

 

B) {e, f}, {e, g}, {e, j}, {f, j}, {g, j}

 

C) {e, f}, {e, g}, {e, j}, {f, g}, {f, j}, {g, j}, {f, e}, {g, e} D) {e, f}, {e, g}, {e, j}, {f, g}, {f, j}, {g, j}

 

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

List the elements in the set .

 

Let U = {q, r, s, t, u, v, w, x, y, z}

 

A = {q, s, u, w, y}

 

B = {q, s, y, z}

 

C = {v, w, x, y, z}.

 

50)

A C

50)

51)

A B'

51)

52)

(A B)'

52)

53)

C - A

53)

54)

(A' C) B'

54)

55)

B (A - C)

55)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Tell whether the statement is true or false.

 

56) (11, 9) = (9, 11)                                                                                                                            56)

A) True                                                                B) False


 

 

 

 

 

 

 

 

 

5


Find the Cartesian product.

 

57) A = {12, 9, 10}

57)

B = {14, 4}

 

Find A × B.

 

A) {(14, 12), (14, 9), (14, 10), (4, 12), (4, 9), (4, 10)}

 

B) {(12, 14), (12, 4), (9, 14), (9, 4), (10, 14), (10, 4)}

 

C) {(12, 14), (9, 4)}

 

D) {(12, 14), (9, 10), (10, 14)}

 

58) A = {0}

58)

B = {11, 21, 31}

 

Find B × A.

 

A) {(11, 0), (21, 0), (31, 0)}

B) {0}

C) {0, 0, 0}

D) {(0, 11), (0, 21), (0, 31)}

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

 

For the given sets, construct a Venn diagram and place the elements in the proper region.

 

59) Let U = {c, d, g, h, k, u, q} 59) A = {d, h, g, q}

B = {c, d, h, u}

 

 

 

 

 

 

 

 

60) Let U = {1, 2, 3, 4, 5, 6, 7, 8}

60)

A = {3, 6, 8}

 

B = {4, 6}

 

C = {1, 6, 7, 8}


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6


Find the cardinal number of the set.

 

61) The numbers in the Venn Diagram below represent cardinalities.

61)

 

 

 

 

 

 

 

 

Find n(A B).

 

 

 

62) The numbers in the Venn Diagram below represent cardinalities.

62)

 

 

 

 

 

 

 

 

 

Find n(A' B' C)

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Solve the problem.

 

 

 

 

63)

Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the

63)

 

survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and

 

 

a dog. How many of the students surveyed own only a cat?

 

 

 

A) 3

B) 15

C) 8

D) 18

 

64)

A local television station sent out questionnaires to determine if viewers would rather see a

64)

 

documentary, an interview show, or reruns of a game show. There were 850 responses with the

 

 

following results:

 

 

 

 

255 were interested in an interview show and a documentary, but not reruns.

 

34 were interested in an interview show and reruns but not a documentary.

 

119 were interested in reruns but not an interview show.

 

204 were interested in an interview show but not a documentary.

 

85 were interested in a documentary and reruns.

 

51 were interested in an interview show and reruns.

 

68 were interested in none of the three.

 

 

How many are interested in exactly one kind of show?

 

A) 388

B) 418

C) 398

D) 408

MATH 1630
13790

Bussiness statistic

see mail for full question

 

 

Use the date in table above and answer the following questions in the space provided below:

  1. What is the nature of the effects of the factors studied in this experiment?
  2. What strategy would you use to reduce invoice errors, given the results of this experiment?
Assignment 2 for prostan only
7898

I am unable to post all of the questions on here but they're due tomorrow and I don't have time to do them. There are 16 questions.

WileyPlus Homework
7535

I need help with project. It needs to be about 12 pages. Details below:

The Problem Statement:
• Dupree sell heating oil to residential customers
• Customers may run out of oil
• Dupree wants to guarantee that the customer’s oil tank will never run dry.
• Dupree pledges “50 free gallons” in case a tank runs dry• To estimate customers’ oil usage, the home heating industry uses the concept of “degree days.”
Degree day is equal to the difference between the average daily temperature and 68 degrees
Fahrenheit. For ex. (68 – 50) = 18 (if negative, it will be changed to “zero”).Using degree days and the tank size, the oil industry can estimate when the customer is getting low on fuel and when to resupply the customer.• The data gathered from customers is given in the
DUPREE.XLS file:
The # of gallons of oil_usage and the # of degree days since last oil fill for 40 customers # of people residing in homes of the 40 customers (more hot water usage)
Assessment by staff, of home type classification (1-5), is a composite index of the home size, age, exposure to wind, level of insulation, and furnace type. A low home_factor index implies a lower oil consumption per degree day.• Use data in DUPREE.XLS to see whether a statistically reliable oil consumption model can be estimated from the data.
• SomeAdditional Project Guidelines:
About 10 to 15 quality pages (concise)
Using the materials used in this course and beyond propose the best model
Using the automated variable selection procedures find the best model
Compare the above two models and propose your best possible model
Provide a summary of different models used and justify the best model
Define the parameters of the proposed model
Demonstrate the use of the model through examples
Would you recommend any explanatory variables to be omitted.
Would you recommend any other explanatory variables that could be added to the model?

STATS-DUPREE CASE/PROJECT
7534

problem should be solved with excel and consist some explanation s described below.

 An optimization model about logistics and transportation

  1. A forecasting model about logistics and transportation

Y=a+bx

For cost

  1. Apply a multiple-objective decision making model (AHP) to make a decision of DC (distribution centre) location selection
  2. simulation .

Monet Inc., is a small company that designs, produces, and sells ski jackets and other coats. The creative design team has labored for weeks over its new design for the coming winter season. It is now time to decide how many ski jackets to produce involved, no other production runs will be possible during the season. Predicting ski jacket sales months in advance of the selling season can be tricky. Monet has been in operation for only 3 years, and its ski jacket designs were quite successful in 2 of those years. Based on realized sales from the last 3 years, current economic conditions, and professional judgment, 12 Monet employees have independently estimated demand for their new design for the upcoming season. Their estimates are listed in table 1.

 

 

To assist in the decision on the number of units for the production run, management has gathered the data in table 2. Note that S is the price Egress charges retailers. Any ski jackets that do not sell during the season can be sold by Monet to discounters for V per jacket. The fixed cost of plant and equipment is F. This cost is incurred irrespective of the size of the production run.

 Table 2: Monetary Values

 

 

Questions:

  1. Monet management believes that a normal distribution is a reasonable model for the unknown demand in the coming year. What mean and standard deviation should Monet use for the demand distribution?
  2. Use a spreadsheet model to simulate 200 possible outcomes for demand in the coming year. Based on these scenarios, what is the expected average profit if Monet produces Q=7800 ski jackets? What is the expected average profit if Monet s produces Q=12,000 ski jackets? What is the standard deviation of profit in these two cases? what is the probability of a loss greater than $100,000 in each case?
  3. Based on the same 200 scenarios, how many ski jackets should Monet produce to maximize expected average profit? Call this quantity Q and draw a chart to interpret the result.(15%)

 

 

Students should explain their ideas by characterizing the modeling process as a seven-step procedure:

  • define the problem
  • observe the system and collect data
  • formulate a mathematical model
  • verify the model and use the model for prediction
  • select a suitable alternative
  • present the results of the study to the organization

implement and evaluate recommendations

 

 

Table 1: estimated demands

14,000

13,000

14,000

14,000

15,500

10,500

16,000

8,000

5,000

11,000

8,000

15,000

 

 

 Table 2: Monetary Values

Variable production cost per unit(C)

$80

Selling price per unit(S)

$100

Salvage value per unit(V)

$30

Fixed production cost(F)

$100,000

 

Decision making techniques in excel
7509

1.Determine the total area under the standard normal curve in parts (a) through (c) below. 

(a)Find the area under the normal curve to the left of z= -2 plus the area under the normal curve to the right of z=2

The combined area is _____ (Round to four decimal places)

(b)Find the area under the normal curve to the left of z= -1.54 plus the area under the normal curve to the right of z= 2.54

The combined area is _____(Round to four decimal places) 

2.Find the Z-score such that the area under the standard normal curve to the left is 0.96

            ______ is the Z-score such that the area under the curve to the left is 0.96. (Round to two decimal place)

 

3.Find the Z-scores that separate the middle 15% of the distribution from the area in the tails of the standard normal distribution

   The Z- scores are ____

 4.Assume the random variable X is normally distributed with mean= 50 and standard deviation = 7. Compute the probability
    P(X>35)=______ (Round to four decimal places)

 5.Assume that the random variable X is normally distributed, with mean= 53 and standard deviation = 7. Compute the probability

    P(45≥X)= ______ (Round to four decimal places)

 6.Assume the random variable X is normally distributed with mean= 50 and standard deviation= 7. Compute the probability.
    P(35<X<63)=________ (Round to four decimal places)

 7.Assume the random variable X is normally distributed, with mean = 41 and standard deviation = 6. Find the 5thpercentile.

    The 5th percentile is _______ (Round to two decimal places)

 8.The mean incubation time for a type of fertilized egg kept at 100.1 degrees Fahrenheit is 19 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. 

(a)What is the probability that a randomly selected fertilized egg hatches in less than 17 days?

(b)What is the probability that a randomly selected fertilized egg takes over 21 days to hatch?

(c)  What is the probability that a randomly selected fertilized egg hatches between 18 and 19 days?

(d)Would it be unusual for an egg to hatch in less than 17.5 days? Why?
 

9.The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and a standar deviation 129 chips. 

(a)What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips?

(b)What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips?

(c)  What proportion of bags contains more than 1175 chocolate chips?

(d)What is the percentile rank of a bag that contains 1450 chocolate chips?

 10.The mean incubation time of fertilized eggs is 22 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. 

(a)Determine the 11th percentile for incubation times

(b)Determine the incubation times that make up the middle 95%

 11.The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1261 and a standard deviation of 117. 

(a)Determine the 28th percentile for the number of chocolate chips in a bag

(b)Determine the number of chocolate chips in a bag that make up the middle 97% of bags.

 12.The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and standard deviation of 3 minutes.

 (a)The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (Round to two decimal places as needed)

(b)If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time limit?(Round up to the nearest minute)

Stats Mcqs
7488

Assignment 2: Linear Regression

In this assignment, you will use a spreadsheet to examine pairs of variables, using the method of linear regression, to determine if there is any correlation between the variables. Afterwards, you will postulate whether this correlation reveals a causal relationship (and why).

Click here to open the Excel spreadsheet containing the data for this assignment. 

This spreadsheet contains the data from a study that attempted to see if there is a correlation between the hours that students studied and the grade that they earned on a test. The correlation test you are about to run will help you to determine if there is, in fact, a correlation between study time and test score. If you find a strong correlation, then you will postulate whether you feel this indicates a causal relationship.

Below are instructions on how to perform this correlation test in Microsoft Excel. 

In the Excel spreadsheet, perform the following operations:

  1. Save the spreadsheet to your computer. 
  2. With your mouse, highlight all of the data on the spreadsheet in columns A and B.
  3. In the tabs at the top of the page, click Insert.
  4. In the Insert ribbon, in the Charts section, click Scatter. Be sure to select the option where it will just plot dots, it will be called Scatter with only Markers. If you do this right, then you'll see a chart on the page.
  5. Now, on the chart, right-click on one of the data points (dots). Just pick a dot somewhere near the middle of the distribution.
  6. Select Add Trendline from the drop-down menu that appears when you right-click on a dot.
  7. A new menu will appear. Select Linear, select Automatic, and click the boxes next to Display Equation on chart and Display r-squared value on chart.
  8. Click Close.
  9. Now, you should see a line drawn through the dots. It will roughly cut through the middle of the dot distribution.
  10. You'll also see the linear regression equation and r2 value displayed next to the line. 

To see an example spreadsheet containing a completed analysis click here.

Now that you’ve completed your analysis and determined the linear regression formula and r2, it is now time to report on the results of your study and examine your findings.

In a Microsoft Word document, respond to the following:

  1. Report the sample you selected and the question that was explored in the study.
  1. Report the r2 linear correlation coefficient and the linear regression equation produced in the Excel spreadsheet.
  1. What would be the value of Pearson’s r (simply the square root of r2)?
  1. Would Pearson’s r be positive or negative? What does this imply about the relationship between the factors in this study?
  1. What is the implication of any correlation found between the variables in the study you picked?
  1. Does this correlation imply a causal relationship? Explain.
  1. Are there other variables that you think should have been examined that would have improved this study or helped to pinpoint what factors are causal?

For this assignment, you will submit a spreadsheet and a report. The spreadsheet will be the Microsoft Excel file containing your scatterplot and analysis. Name your Microsoft Excel file as follows: LastnameFirstInitial_M3_A2.xls.

The report will be a Microsoft Word document in which you will address all of the questions in this assignment in the form of a narrative.  Name your Microsoft Word document as follows: LastnameFirstInitial_M3_A2.docx.

Submit both files to the M3: Assignment 2 Dropbox by Tuesday, April 22, 2014.

Assignment 2 Grading Criteria
Maximum Points

Complete scatterplot and attach as an Excel file (the fraction of variation in one variable should be accounted for by variation of the other).

56

Report the r2 correlation coefficient and linear regression equation with slope and intercept included and state whether the value of r is positive or negative.

96
Explain the implication of any linear relation, including its three components (scatterplot, r2 value and linear equation) found between hours spent studying, and the exam score earned.
48
Total:
200
Assignment 2: Linear Regression
7476

Exhibit 9.12, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). (Note: You may find it useful to use a computer spreadsheet program (e.g., Microsoft Excel) to calculate your answers.)

EXHIBIT 9.12

         MONTHLY EXCESS RETURN DATA FOR TWO PORTFOLIOS AND THREE RISK FACTORS

 

 

PPERIOD         PORTFOLIO A          PORTFOLIO B

1                        1.08%                       0.00%

FACTOR  1

FACTOR  2

FACTOR  3

0.01%

-1.01%

-1.67%

2

7.58

6.62

6.89

0.29

-1.23

3

5.03

6.01

4.75

-1.45

1.92

4

1.16

0.36

0.66

0.41

0.22

5

-1.98

-1.58

-2.95

-3.62

4.29

6

4.26

2.39

2.86

-3.40

-1.54

7

-0.75

-2.47

-2.72

-4.51

-1.79

8

-15.49

-15.46

-16.11

-5.92

5.69

9

6.05

4.06

5.95

0.02

-3.76

10

7.70

6.75

7.11

-3.36

-2.85

11

7.76

5.52

5.86

1.36

-3.68

12

9.62

4.89

5.94

-0.31

-4.95

13

5.25

2.73

3.47

1.15

-6.16

14

-3.19

-0.55

-4.15

-5.59

1.66

15

5.40

2.59

3.32

-3.82

-3.04

16

2.39

7.26

4.47

2.89

2.80

17

-2.87

0.10

-2.39

3.46

3.08

18

6.52

3.66

4.72

3.42

-4.33

19

-3.37

-0.60

-3.45

2.01

0.70

20

-1.24

-4.06

-1.35

-1.16

-1.26

21

-1.48

0.15

-2.68

3.23

-3.18

22

6.01

5.29

5.80

-6.53

-3.19

23

2.05

2.28

3.20

7.71

-8.09

24

7.20

7.09

7.83

6.98

-9.05

25

-4.81

-2.79

-4.43

4.08

-0.16

26

1.00

-2.04

2.55

21.49

-12.03

27

9.05

5.25

5.13

-16.69

7.81

28

-4.31

-2.96

-6.24

-7.53

8.59

29

-3.36

-0.63

-4.27

-5.86

5.38

30

3.86

1.80

4.67

13.31

-8.78

QUESTION

  1. Using regression analysis, calculate the factor betas of each stock associated with each of the common risk factors. Which of these coefficients are statistically significant?
  2. How well does the factor model explain the variation in portfolio returns? On what basis can you make an evaluation of this nature?
EXHIBIT REGRESSION
7475

All statistical calculations will use Employee Salary Data Set.

  1. Using the Excel Analysis ToolPak or the StatPlus:mac LE software function descriptive statistics, generate and show the descriptive 

    statistics for each appropriate variable in the sample data set.
    1. For which variables in the data set does this function not work correctly for? Why?
  2. Sort the data by Gen or Gen 1 (into males and females) and find the mean and standard deviation

    for each gender for the following variables: 
    1. sal, compa, age, sr and raise. Use either the descriptive stats function or the Fx functions (average and stdev).
  3. What is the probability for a:

    1. Randomly selected person being a male in grade E?
    2. Randomly selected male being in grade E?
    3. Why are the results different?
  4. Find:

    1. The z score for each male salary, based on only the male salaries.
    2. The z score for each female salary, based on only the female salaries.
    3. The z score for each female compa, based on only the female compa values.
    4. The z score for each male compa, based on only the male compa values.
    5. What do the distributions and spread suggest about male and female salaries?
    6. Why might we want to use compa to measure salaries between males and females?
  5. Based on this sample, what conclusions can you make about the issue of male and female pay equality?
  6. Are all of the results consistent with your conclusion? If not, why not?
Problem Set Week One
7470

Chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes.  What are some examples of variables that you might want to check using the chi-square tests?  What would these results tell you?

Chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes.
7468

Multiple regression analysis is widely used in business research in order to forecast and predict purposes. It is also used to determine what independent variables have an influence on dependent variables, such as sales.

Sales can be attributed to quality, customer service, and location. In multiple regression analysis, we can determine which independent variable contributes the most to sales; it could be quality or customer service or location.

Now, consider the following scenario. You have been assigned the task of creating a multiple regression equation of at least three variables that explains Microsoft’s annual sales.

Use a time series of data of at least 10 years. You can search for this data using the Internet.

  • Before running the regression analysis , predict what sign each variable will be and explain why you made that prediction.
  • Run three simple linear regressions by considering one independent variable at a time
  • After running each of the three linear regressions, interpret the regression.
  • Does the regression fit the data well?
  • Run a multiple regression using all three independent variables. 
  • Interpret the multiple regression.  Does the regression fit the data well? 
  • Does each predictor play a significant role in explaining the significance of the regression?
  • Are some predictors not useful?
  • If so, did you consider removing those and rerunning the regression?
  • Are the predictors related too significantly to one another? What is the coefficient of correlation “r”? Do you think this “r” value suggests a strong correlation among the predictors ( the independent variables?

Submit your answers in a two- to three-page Word document

Assignment 2: Correlation, simple linear, and Multiple Regression Analysis
7463

Describe how many hours do you spend at work every day. Collect data one day so you have can have at least 10 observations, preferably more.  Choose one variable, and then collect 10 days worth of data on that one variable.

Stats data collection and analysis
7461

p.230, p 4

In two separate studies, the actual difference between the means of a treated group and untreated group is 3 points.  However, in one study, the σ           is very large 

                                                                                M1-M2    

and so the 3 points is not found to be significant.   In the other study, the σ

                                                                                                M1-M2

is very small and so the 3 points id found to be significant.  What might have caused this big difference in the σ         for the two studies?

                                           M1-M2

p.231, p8

In the study of the effect of a new drug on the alleviation of asthma symptoms, the

 σM for symptom relief in the patient group that received the new drug is 1.45, and the σM for symptom relief in the group that did not receive the new drug 1.22.  Calculate σ

               M1-M2

 

p.241, p2

A large furniture store stations salespeople near its entrance to greet customers and offer assistance in shopping.  The salespeople, who work commission basis, tell the customer their name and hand them a business card.  A psychologist thinks that the salesperson’s intrusiveness might cause customers to buy less furniture rather than more furniture.  She convinces the store’s management to let her study the issue.  Customers are randomly selected to either receive or not receive a salesperson’s offer assistance immediately on entering the store.  The amount of customers’ purchases are then logged as they leave the store.  Here is the data

     

                                    Amount of Purchase, in U.S. Dollars

Immediate Assistance                                               No Assistance Unless Requested

  • 761

2,274                                                                            0

  • 2,592
  • 0
  • 1,037

      362                                                                                           0

    855                                                                     84

      0                                                                                    0

      0                                                                                   672

     1,273                                                                             0

 

  1. What are the independent and dependent variables in this study?
  2. State the null hypothesis and the directional (one-tailed) research hypothesis.
  3. Calculate τ and compare it with the tabled critical τ at the .01 and .05 α Can you reject the null hypothesis?

 

 

  1. 264, 4

State whether the investigator used independent samples, repeated measures, or matched samples:

  1. An investigator wants to know if elementary-age children who have experienced the death of a parent are helped by a counseling group consisting of other children who have experienced a death in the family. He randomly selects children for this special counseling group, comparing their emotional adjustment at the beginning of treatment with their emotional adjustment following a year of the specialized group counseling.
  2. An investigator wants to know if elementary-age children who have experienced the death of a parent are better helped by a counseling group consisting only of other children who have experienced a death in the family or by a counseling group consisting of children demonstrating a wide range of behavioral and emotional issues. He randomly assigns children to the two groups and compares each group’s emotional adjustment following a year of group counseling.

 

  1. 271, p 7

The following data are from a study of aggression in 40 children (20 pairs) after viewing either violent film or an educational film.  Participants were first matched on gender and their typical aggression level.  Here are participants’ scores on the aggression test given after viewing the film.  Higher scores indicate more aggression.

 

Pair                                                     Violent Film                           Educational Film

1                                                          26                                            18

2                                                          24                                            12

3                                                          18                                            14

4                                                          27                                            22

5                                                          19                                            13

6                                                          14                                            15

7                                                          24                                            20

8                                                          12                                            9

9                                                          21                                            12

10                                                        15                                            18

11                                                        11                                            7

12                                                        23                                            27

13                                                        23                                            14

14                                                        18                                            8

15                                                        17                                            20

16                                                        12                                            12

17                                                        25                                            17

18                                                        28                                            20

19                                                        13                                            10

20                                                        22                                            14

 

Calculate t and compare it with the one-tailed critical t at the .01 a level.  Did the children who viewed the violent film show significantly more aggression?

 

Two-Sample T Test

Think about a study you would like to explore in our future or current career that could be analyze with a two-sample t test.  To help design the study, answering the following:

 

            - Is it an independent group t test matched groups t test or repeated measures t test, and why?

            - What is the independent variable?

            - What is the dependent variable?

            - What do you expect to find if you ran the study? List this out both in statistical language (feel free to make up some number for the results) as well as real-world language.

Stats Week 7 a
7451
  1. In a poll, respondents were asked whether they had ever been in a car accident. 177 respondents indicated that they had been in a car accident and 107 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?
  2. The data set represents the income levels of the members of a country club. Find the probability that a randomly selected member earns at least $102,000 

    INCOME (Thousands of dollars)



    108   128     82   138    85   108    88    76   158   208



    79     98   148    85   128   118    88   168    73   118
  3. In a certain class of students, there are 13 boys from Wilmette, 3 girls from Kenilworth, 11 girls from Wilmette, 6 boys from Glencoe, 5 boys from Kenilworth and 6 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
  4. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 4 possible answers. 
  1. Of 1906 people who came into a blood bank to give blood, 300 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
Solve the following problems, showing your work:
7446
An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing operation. Consider the following sample of production volumes and total cost data for a manufacturing operation. 


Production Volume Total Cost 



(Units) ($) 



400 4,000 



450 5,000 



550 5,400 



600 5,900 



700 6,400 



750 7,000 
 
a. Use the data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. 
b. What is the variable cost per unit produced?
c. Compute the coefficient of determination.  What percentage of the variation in total cost can be explained by production volume?
d. The company’s production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation?
level 200 question
7444

Chapter 6

 

Question 1

  • If p = 0.03, confidence also = 0.03.


Answer

 

True

False

 

Question 2

  • It is possible to conduct a one-sample t test even when the population standard deviation is not known.


Answer
    • True
    • False


 

Question 3

  • A normal deviate Z test requires that we know the population standard deviation.


Answer


    True

    False

Question 4

  • In a one-sample t test with a sample size of 30, there are 30 degrees of freedom.


Answer

    True

    False

 

Question 5

  • The mean of any sampling distribution of the mean is the population mean.


Answer

    True

    False

 

Question 6

  • A z score tests the location of _________, while a Z test tests the location of ____________.


Answer

.    

.      a.

.      An individual score, a sample mean.

.    

.      b.

.      An individual score, a population mean.

.    

.      c.

.      A sample mean, a population mean.

.    

.      d.

.      A random score, a nonrandom score.

 

Question 7

  • In a one-sample t test, α =0.05 and t (52) = +2.46. How many degrees of freedom are in this study?


Answer
  • 0
  • 5
  • 5
  • 2


Question 8

  • The rejection region typically falls where in the sampling distribution of the mean?


Answer

.    

.      a.

.      In the center.

.    

.      b.

.      In the tails.

.    

.      c.

.      Sometimes in the center and sometime in the tails.

.    

.      d.

.      Close to the population mean.

Question 9

  • What is the mean of any sampling distribution of the mean?


Answer

.    

.      a.

.      0.

.    

.      b.

.      The sample mean.

.    

.      c.

.      The population mean.

.    

.      d.

.      It depends on the value of the raw scores in the distribution.

  

Question 10

  • A research report says that t (63) = 1.99; p = 0.03. From that information, can you reject the null hypothesis with 95% confidence?


Answer

.    

.      a.

.      Yes.

.    

.      b.

.      No.

.    

.      c.

.      It depends on the sample size.

.    

.      d.

.      It depends on the size of the type 1 error.

 

Question 1

  • The primary contributor to the standard error of the difference between the means is the standard error of the means of the two populations.


Answer

True

False


Question 2

  • Assume a research report says t(43) = 2.37, α <0.02. For this study, confidence is <0.02.


Answer

True

False

 

Question 3

  • If a single set of subjects serves in both treatment groups, the study should be analyzed with an independent subjects t


Answer

True

False

Question 4

  • The region of rejection is in the tails of the distribution.


Answer

True

False


 

Question 5

  • If tabled t is 2.23 and calculated t is 2.24, the calculated t can be considered statistically significant.


Answer

True

False


Question 6

  • In a two-sample t test, α =0.05 and t(74) = +2.15. How many subjects are in this study?


Answer

.   72.

.   73.

.   74.

.   76.

.   There is not enough information to tell.

Question 7

  • What is the purpose of a two-sample t test?


Answer

 

.   a.

To determine whether two means are more different than expected by chance.

 

.              b.

To compare the actual mean difference between groups with the difference desired by the researcher.

 

.   c.

To equate groups on one or more extraneous variables.

 

.   d.

To be twice as confident of your results as you would be in a one-sample t test.

 

             

Question 8

  • In a two-sample t test, if the observed difference between the sample means turns out to be one that would rarely occur when the null hypothesis is true, what should we do?


Answer

 

a.

.   Reject the null hypothesis.

 

b.

.   Retain the null hypothesis.

 

c.

.   Repeat the test until we get a more probable difference between the sample means.

 

d.

.   Change the level of significance (type 1 error).

10 points  

Question 9

  • Suppose that a researcher decides that he must obtain a type 1 error level of no more than 0.01 to reject the null hypothesis. After analyzing his data he finds that the results are significant at p = 0.05 but not at p = 0.01. If he is not able to change the maximum allowed type 1 error level, then the researcher should


Answer

 

.        a.

.           Retain the null hypothesis because 0.05 is greater than 0.01.

.          

.        b.

.           Retain the null hypothesis because 0.05 is merely sampling error.

.          

.        c.

.           Reject the null hypothesis because 0.05 is close to 0.01.

.          

.        d.

.           Reject the null hypothesis because 0.05 is greater than 0.01.

Question 10

  • What is the purpose of the change in formula from an independent sample t test to a related sample t test?


Answer

.          

.        a.

To simplify the calculation process when samples are dependent.

.          

.        b.

.           To remove the unwanted correlation introduced by the dependence of subjects between the IV conditions.

.          

.        c.

.           To remove the influence of unwanted or outlier cases in each sample.

.          

.        d.

To weight the contribution of each sample by the number of cases present in that sample.

 

Question 1

  • If the overall F is statistically significant, at least one pair of means must also be statistically significant.


Answer

True

False

Question 2

  • F can never be negative.


Answer

True

False

Question 3

  • One drawback of ANOVA is that it allows type 1 error to escalate for every additional group tested.


Answer

True

False


Question 4

  • If a study has 3 groups of 25 subjects each, the degrees of freedom are 2 and 24.


Answer

True

False

Question 5

  • All F values are positive.


Answer

True

False

Question 6


  In ANOVA, where should you look for the treatment effect?


Answer

 

. In the within-group variance.

.   In the between-group variance.

.   In the total variance.

.   Within a single individual's score.

Question 7

  • When and why would you conduct post hoc tests as a follow up to the overall F test?


Answer

 

.        a.

When the overall F test is NOT significant; to determine which of the pairs of groups may be significant.

 

.        b.

When the overall F test is NOT significant; to determine why the overall F test is not significant.

.       

.        c.

.              When the overall F test is significant; to determine between which pairs of groups the significant difference lies.

.       

.        d.

When the overall F test IS significant; to determine if the significance is only the result of chance.

  • Question 8
  • We use an F test rather than a t test for multi-group studies primarily to



Answer

.  

.   a.

.   Avoid calculating standard deviations from the variances.


.  

.   b.

.   Be able to use a single formula regardless of differing sample sizes between groups.


.  

.   c.

.   Reduce calculation time.


.  

.   d.

.   Avoid escalating type 1 error rates.


Question 9

  • The appropriate statistic to use when testing the hypothesis for a study with three treatment groups is a


Answer

.  

.   a.

.   One-sample t test.

.  

.   b.

.   Two-sample t test.

.  

.   c.

.   ANOVA F test.

.  

.   d.

.   Either b or c is appropriate.

 

Question 10

  • When the null hypothesis is true, the calculated F should be close to



Answer

.  

.   a.

.   0.


.  

.   b.

.   1.


.  

.   c.

.   Infinity.


.  

.   d.

.   There is not enough information to tell.


 

 

 

 

Question 1

  • To be statistically significant, Pearson's r should be greater than 0.90.


Answer

True

False


Question 2

  • The relative frequencies in the cells of a 2 × 2 table can be evaluated with a phi coefficient.


Answer

True

False

Question 3

  • The scatterplot for a positive relationship will graph from the upper left to the lower right.


Answer

True

False

Question 4

  • When scores vary in the same direction on two variables, the relationship is positive.


Answer

True

False

Question 5

  • For a Pearson's r, both variables must be linear.


Answer

True

False

Question 6

  • To compute a Pearson r correlation coefficient, we must have


Answer

 

a.

.            

.           A pair of scores for one individual.

 

.           b.

.            

.           A single set of scores for a single group of individuals.

 

.           c.

.            

.           Scores on two different variables for a single set of individuals.

 

.           d.

.            

.           Scores on two different variables for two different groups of individuals.

Question 7

  • In a correlational study, there is/are _______ group(s) of subjects, and each subject is measured on _______ variable(s).


Answer

.  

.   a.

.   1, 1.

.  

.   b.

.   1, 2.

.  

.   c.

.   2, 1.

.  

.   d.

.   2, 2.

10 points  

Question 8

  • The two variables in a correlational study are called the


Answer

.  

.   a.

.   Predictor and predicted.

.  

.   b.

.   Predictor and criterion.

.  

.   c.

.   Independent and dependent.

.  

.   d.

.   Relator and relatist.

Question 9

  • In a scatter diagram, if one of the points does not fall on the straight line of best fit to the data points, then r cannot be


Answer

 

.        a.

0.

.          

.        b.

+1.00 or -1.00.

 

.          

.        c.

   Positive.

.          

.        d.

Negative.

 

Question 10

  • A study reports: r(95) = +0.92, p < 0.01. How confident can you be that the obtained correlation is real and not due to mere chance?



Answer

.  

.   a.

.   92% confident.


.  

.   b.

.   95% confident.


.  

.   c.

.   99% confident.


.  

.   d.

.   There is not enough information to

 

 

STATS QUIZES 6,7,8,10
7442

Use the following directions to complete the attached assignment

- Describe the information provided by the Standard Deviation.

- Use the Standard Deviation to calculate the percentage of occurrence of a variable either above or below a particular value.

- Describe a normal distribution as evidenced by a bell shaped curve.

- Prepare a distribution chart from a set of data.

ASSIGNMENT #3:

  1. To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below
    $ 218 $ 125 $ 381 $ 187 $ 231 $ 213 $ 309 $ 230

    Find the Standard deviation

 

  1. When investigating times required for drive-through service, the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.

    Wendy's 110 113 133 198 124 120 154 110
    McDonald's 105 116 131 176 118 110 135 137

 

  1. A company had 74 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Find the standard deviation of the data summarized in the given frequency distribution.

    Salary Number of Employees
    5,001 -10,000 11
    10,001 - 15,000 13
    15,001 - 20,000 20
    20,001 - 25,000 17
    25,001 - 30,000 13

 

  1. The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation:

    Height (in.) Frequency
    70-71 4
    72-73 9
    74-75 18
    76-77 11
    78-79 9
    80-81 4
    82-83 1

 

ASSIGNMENT #3
7441

Using Excel, prepare a frequency distribution from the data you collected in the attachment.

- Calculate the Standard Deviation of your data and answer the following questions below.

- Is this a normal distribution?

- What are the implications?

SLP 3 - FREQUENCY
7439
  1. 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why
  2. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag. Identify which type of sampling is used and why
  3. An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects ten schools from the district and interviews all of the teachers at the selected schools. Does this sampling plan result in a random sample? Simple random sample? Explain.
  4. A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in a random sample? Simple random sample? Explain.
  5. The personnel manager at a company wants to investigate job satisfaction among the female employees. One evening after a meeting she talks to all 30 female employees who attended the meeting. Does this sampling plan result in a random sample? Simple random sample? Explain.

 Use information from the modular background readings as well as any good quality resource to complete the attached assignement. Please cite all sources and provide a reference list at the end of your paper. 

The following items will be assessed in particular: 

1.    Ensure that you are able to draw the proper inferences about the population after the sample has been evaluated. 

2.    Ensure that the process of selecting and evaluating a sample.

MOD 4 CASE: SAMPLING
7436

Use information from the modular background readings as well as any good quality resource you can find. Please cite all sources and provide a reference list at the end of the paper. Continue to collect data for five days and respond to the questions below with a brief summary for each: 

- Is the larger sample changing anything?

- Is your mean increasing or decreasing?

- Do you think the current sample you have is enough to paint an accurate picture, or do you need a much larger sample?

MAT 201 - SLP #4 (SAMPLING)
7434
  1. Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?

    X      -7      -2     5     1     -1     -2      0     2     3     -3

    Y     -12     -8     9     1     -5     -6     -1     4     7     -8
  2. The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. Predict the final exam score for students who studied 4 hours. Predict the final exam score for students who studied 6 hours.

    Hours (X)        3      5      2       8      2      4      4      5     6      3

    Score (Y)       75    90    70     98    76    88    95    99    98    81
  3. Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?

    X     -5     -3     4     1     -1     -2     0     2     3     -4

    Y     -9     -7     8     2     -3     -5     -2     4     7    -7
  4. A pharmaceutical company tested two new flu vaccines intended to boost immunity. In order to test the effectiveness of this drug, a one year study was done were at the beggining of the year three groups of eight individuals were given either Flu Shot 1, Flu Shot 2, or a placebo (a shot with only saline and no vaccine). The number of sick days from work each individual took was carefully recorded over the following year. Both flu shots were found to be completely safe with no side effects, but differed in terms of effectiveness. The data below gives the number of sick days for the individuals in each of the three groups.

Perform a one-way ANOVA analysis, testing at the 0.05 level. Also, calculate the mean number of sick days for each group. Describe your results. But equally important, also explain what you would do if you owned your own company. Would you pay for your employers to receive Flu Shot 1 or Flu Shot 2 in order to keep their number of sick days down? If so, which one would you choose? Would you choose either vaccine only if it was very cheap or would you be willing to invest a lot into the vaccine for your employees? Explain your reasoning.

Group                     Sick days per year

Placebo        7     4     6     8    6     6     2    9

Flu Shot 1     5     3     3     5    4     7     3    3

Flu Shot 2     2     4     1     2    2    1     2     5

Submit your work by the module due date, if you are having difficulty please contact your professor.

 

Use information from the modular background readings as well as any good quality resource you can find. Please cite all sources and provide a reference list at the end of your paper.

The following items will be assessed in particular:

  1. Your ability to explain the limitations of the linear regression method.
  2. Your ability to describe ANOVA and identify when the ANOVA method should be used.
  3. Your ability to describe the correlation analysis and identify when the coefficient of correlation should be calculated.
  4. Your ability to identify when the Least Squares method should be used.
Stats case 5 anova

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