## Statistics

### Questions

# Description Question
14075 What are three potential research questions that could be studied using that survey? Determine if your research questions would be quantitative or qualitative. State your hypotheses for each question you develop in question /accompanying hypothesis format. Test and measurements
14051

Please finish the attached four questions by 7am Nov 7.

I am willing to pay forty dollars.

Question 1

A hotel wants to determine a 99% confidence interval for the average daily occupancy of its rooms. It wants the interval to be no more than plus or minus 5 room.

a) How many days should be sampled to construct this interval if σ=12 rooms per day?

b) How many days should be sampled to construct this interval if σ=10 rooms per day?

c) In 30 words or less, explain why the number of days changes from part 1 to part b.

Question 2

Suppose the FDA receives complaints that Pepsi is not putting 2000 ml of soda in its two liter bottles. If the claim is true, the FDA will fine Pepsi. To test the claim, the FDA selects a random sample of 64 two-liter bottles of Pepsi and measures their volume. This data provides a sample mean of 1994 ml and a sample standard deviation of 32 ml. Recognize that even if some change that the FDA's random sample will produce a sample mean is less from 2000 ml; rather the FDA must use statistics and determine how many standard deviations 1994 is from 2000, assuming Pepsi actually does put 2000 ml into each bottle on average. Notice that statistical testing gives the benefit of the doubt to Pepsi. Letting μ be the amount of product Pepsi puts into each two-liter bottle on average, the FDA's hypotheses are

H0: μ = 2000

Ha: μ ≠ 2000

Notice that the FDA will never conclude that μ = 2000, but rather it may simply fail to reject that μ is equal to 2000.

a) Is there statistical evidence to fine Pepsi? Suppose the FDA's wants to test the claim with 95% confidence.

b) Suppose the FDA increases its standard to 99% confidence. Test the null hypothesis at the 1 percent significance level.

Question 3

The college bookstore tells prospective students that the average cost if its textbooks is \$52 with a standard deviation of \$4.50. A group of smart statistics students thinks that the average cost is more than \$52. In order to test the bookstore's claim against their alternative, the student will select a random sample of 100 students. Assume that the mean from their random sample is \$52.80. Test the hypothesis at the 5% level of significance and state your decision.

Question 4

A social justice activist group believes a particular judge imposes sentences, not in line with the standard practices. In particular, it is well accepted that the average sentence should be 5 years. The activist group collect data on 75 different cases for the judge in question. The data reveals a sample mean of 7.2 years with a sample standard deviation of 3.8 years. The activist group wants to test if the judge's average sentence is in line with standard practice. Thus. the hypotheses the group has in mind are:

H0: μ=5

H0: μ≠5

The activist group is willing to use 90% confidence interval to test the null hypothesis against the alternative hypothesis. Carry out the test. What is the conclusion?

STATs homework
14047

Finish the attached two page pdf.

Question 1

A hotel wants to determine a 99% confidence interval for the average daily occupancy of its rooms. It wants the interval to be no more than plus or minus 5 room.

a) How many days should be sampled to construct this interval if σ=12 rooms per day?

b) How many days should be sampled to construct this interval if σ=10 rooms per day?

c) In 30 words or less, explain why the number of days changes from part 1 to part b.

Question 2

Suppose the FDA receives complaints that Pepsi is not putting 2000 ml of soda in its two liter bottles. If the claim is true, the FDA will fine Pepsi. To test the claim, the FDA selects a random sample of 64 two-liter bottles of Pepsi and measures their volume. This data provides a sample mean of 1994 ml and a sample standard deviation of 32 ml. Recognize that even if some change that the FDA's random sample will produce a sample mean is less from 2000 ml; rather the FDA must use statistics and determine how many standard deviations 1994 is from 2000, assuming Pepsi actually does put 2000 ml into each bottle on average. Notice that statistical testing gives the benefit of the doubt to Pepsi. Letting μ be the amount of product Pepsi puts into each two-liter bottle on average, the FDA's hypotheses are

H0: μ = 2000

Ha: μ ≠ 2000

Notice that the FDA will never conclude that μ = 2000, but rather it may simply fail to reject that μ is equal to 2000.

a) Is there statistical evidence to fine Pepsi? Suppose the FDA's wants to test the claim with 95% confidence.

b) Suppose the FDA increases its standard to 99% confidence. Test the null hypothesis at the 1 percent significance level.

Question 3

The college bookstore tells prospective students that the average cost if its textbooks is \$52 with a standard deviation of \$4.50. A group of smart statistics students thinks that the average cost is more than \$52. In order to test the bookstore's claim against their alternative, the student will select a random sample of 100 students. Assume that the mean from their random sample is \$52.80. Test the hypothesis at the 5% level of significance and state your decision.

Question 4

A social justice activist group believes a particular judge imposes sentences, not in line with the standard practices. In particular, it is well accepted that the average sentence should be 5 years. The activist group collect data on 75 different cases for the judge in question. The data reveals a sample mean of 7.2 years with a sample standard deviation of 3.8 years. The activist group wants to test if the judge's average sentence is in line with standard practice. Thus. the hypotheses the group has in mind are:

H0: μ=5

H0: μ≠5

The activist group is willing to use 90% confidence interval to test the null hypothesis against the alternative hypothesis. Carry out the test. What is the conclusion?

Statistic Homework
13984

Discrete Probability Distributions Read the following scenario and complete each of the four problem sets below: Suppose the distribution below represents the probability of a person to make a certain grade in Chemistry 101, where x = the letter grade of the student in the class (A=4, B=3, C=2, 0=1, F=O). 1. Is this an example of a valid probability distribution? Explain your answer.

2. Determine the probability that a student selected at random would make a C or higher in Chemistry 101.

3. Determine the mean and standard deviation of the grade distribution.

4. Make a NEW table that shows only the probability of students passing or failing (i.e. receiving an F) Chemistry 101.

5. "A professor has 30 students in his or her Chemistry 101 course and wants to determine the probability that a certain number of these 30 students will pass his or her course." Does this represent a binomial experiment? Explain your answer.

6. Based on the Pass/Fail table, what is the probability that 24 of the 30 students enrolled in Chemistry 101 during the spring semester will pass the course?

7. Determine the mean and standard deviation of the data in the Pass/Fail table.

WK3 WS2 Nominal Probability Read the following scenario and complete each of the four problem sets below:

A. Use the z-table to determine the following probabilities. Sketch a normal curve for each problem with the appropriate probability area shaded.

1. P(z > 2.34)

2. P(z < -1.56)

3. P(z = 1.23)

4. P(-1.82 < z < 0.79)

5. Determine the z-score that corresponds with a 67% probability.

Park Rangers in a Yellowstone National Park have determined that fawns less than 6 months old have a body weight that is approximately normally distributed with a meanµ = 26.1 kg and standard deviation a = 4.2 kg. Let x be the weight of a fawn in kilograms. Complete each of the following steps for the word problems below:

•Rewrite each of the following word problems into a probability expression, such as P(x>30).

•Convert each of the probability expressions involving x into probability expressions involving z, using the information from the scenario.

•Sketch a normal curve for each z probability expression with the appropriate probability area shaded.

•Solve the problem.

1. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs less than 25 kilograms?

2. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs more than 19 kilograms?

3. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs between 30 and 38 kilograms?

4. If a fawn less than 6 months old weighs 16 pounds, would you say that it is an unusually small animal? Explain and verify your answer mathematically.

5. What is the weight of a fawn less than 6 months old that corresponds with a 20% probability of being randomly selected? Explain and verify your answer mathematically.

Statistics
13976

about 50 questions total and a 15 question quiz all multiple choice dealing with probabilties and related statitstics material

Statistics 111 homework mymathlab
13975

about 50 questions total and a 15 question quiz all multiple choice dealing with probabilties and related statitstics material

Statistics 111 homework mymathlab
13973 15 questions over statistics dealing with dice probabilities and card deck questions,pascals triangle and permutations email me asap, due the 7th at 11 pm central time Math 111 --15 question quiz-- 3 attempts
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.
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).

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:

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.

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?

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

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