An ANOVA procedure is used for data obtained from four populations. Four samples

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An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

Select one:

A. 3 and 30

B. 4 and 30

C. 3 and 119

D. 3 and 116

E. None of the above answers is correct

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Which of the following is not a required assumption for the analysis of variance?

Select one:

A. The random variable of interest for each population has a normal distribution

B. The variance associated with the random variable must be the same for each population

C. At least 3 populations are under consideration

D. All of the above are required assumptions

Question 3

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Select one:

A. means of each sample

B. overall sample mean (grand mean)

C. sum of observations

D. None of the above answers is correct.

Question 4

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Select one:

A. 3.74

B. 2.37

C. 2.45

D. None of the above is the correct answers

Question 5

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A variable of interest in an ANOVA procedure is called

Select one:

A. a partition

B. a treatment

C. either a or b

D. a factor

E. None of the above is the correct answer.

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In factorial designs, the response produced when the treatments of one factor interact with treatments of another in influencing the response variable is

Select one:

A. main effect

B. replication

C. interaction

D. None of the above answers is correct

Question 7

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An experimental design where the experimental units are randomly assigned to the treatments is known as

Select one:

A. factor block design

B. random factor design

C. completely randomized design

D. None of the above answers is correct

Question 8

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Whenever we have more than one factor influencing the response and we need to investigate the influence of all factors on the response, then we should be conducting

Select one:

A. Completely randomized design test

B. Randomized block test

C. Factorial experiment design test

D. None of the above answers is correct.

Question 9

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The manager of Sandy Corporation wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each of the 3 proposed work schedules. The following shows the units of production (per week) under each of the work schedules: Work Schedule 1 50, 60, 70, 40, 45 Work Schedule 2 60, 65, 66, 54, 57 Work Schedule 370, 75, 55, 40, 55. Which of the following is a correct statement if the completely randomized design of experiment is used to solve problem 9 through 12?

Select one:

D. None of the above answers is correct

Question 10

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In reference to Sandy Corporation problem statement, if the significance level for this problem is 5%, what is the critical value for test statistic?

Select one:

A. 3.64

B. 3.12

C. 3.89

D. 3.99

E. None of the above answers is correct

Question 11

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In reference to Sandy Corporation problem statement, what would be the value for sample test statistic if SSTR=154.53 and SSE=1,455.20?

Select one:

A. 3.99

B. 4.09

C. 0.64

D. 0.74

E. None of the above answers is correct

Question 12

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In reference to Sandy Corporation problem statement, if null hypothesis can not be reject, which of the following would be the conclusion specific to this problem statement?

Select one:

A. type of work schedule for her employees has an effect on their productivity

B. type of work schedule for her employees does not have any effect on their productivity

C. type of work schedule for her employees may or may not have an effect on their productivity

D. there is not information to answer this question

E. None of the above answers is correct

Question 13

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The marketing department of a company has designed three different boxes for its product. It wants to determine if sales for these boxes are different. Each box will be marketed in five different stores for a period of a month. Sales data for each box for each of the five stores were recorded. Which of the following would be the appropriate type of test of hypothesis if the objective is to determine whether the sales for these boxes are different?

Select one:

A. completely randomized design

B. factorial design

C. randomized block design

D. None of the above answers is correct

Question 14

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In reference to the marketing problem statement, if the objective is to determine whether the sales for these boxes are different, indicate which of the following is a correct statement.

Select one:

D. None of the above answers is correct

Question 15

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In reference to the marketing problem statement, if the objective is to determine whether the sales for these boxes are different, indicate which of the following is a correct statement if null hypothesis can not be rejected.

Select one:

A. the sales amount for these boxes is not different

B. the sales amount for these boxes is different

C. there is no enough information to answer this question

D. None of the above answers is correct

Question 16

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Suppose a national travel association studied the cost of premium unleaded gasoline in the United States during the summer of 1999. From experience, association directors believed there was a significant difference in the average cost of a gallon of premium gasoline among urban areas in different parts of the country. To test this belief, they placed random calls to gasoline stations in five different cities. In addition, the researchers realized that the brand of gasoline might make a difference. They were mostly interested in the difference between cities, so they made city their treatment variable. To control for the fact that pricing varies with brand, the researchers included brand as a blocking variable and selected six different brands to partcipate. The researchers randomly telephoned one gasoline station for each brand in each city, resulting in 30 measurements (five cities and six brands). Each station operator was asked to report the current cost of a gallon of premium unleaded gasoline at that station. The following table summarizes the results.

Select one:

E. None of the above answers is correct

Question 17

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Reference price of the gasoline problem statement. What is the value of test statistic?

Select one:

A. 12.95

B. 15.95

C. 18.95

D. 21.95

E. None of the above answers is correct

Question 18

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Reference price of the gasoline problem statement. What is the critical value of test statistic?

Select one:

A. 4.10

B. 4.43

C. 13.45

D. 22.75

E. None of the above answers is correct

Question 19

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Reference price of the gasoline problem statement. Based on the value of sample test statistic and its critical value, what conclusion can drawn?

Select one:

A. Fail to reject null hypothesis, there is a significant difference in the average price of a gallon of premium unleaded gasoline in various cities

B. Fail to reject null hypothesis, there is not a significant difference in the average price of a gallon of premium unleaded gasoline in various cities

C. Reject null hypothesis, there is a significant difference in the average price of a gallon of premium unleaded gasoline in various cities

D. Reject null hypothesis, there is not a significant difference in the average price of a gallon of premium unleaded gasoline in various cities

E. None of the above answers is correct

Question 20

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What percentage of the times the conclusion drawn based on the value of test statistic and its critical value is wrong?

Select one:

A. 5%

B. 50%

C. 100%

D. 0%

E. None of the above is the correct answer

Brand Miami Philadelphia Minneapolis San Antonio Oakland Row Total A 1.47 1.40 1.38 1.32 1.50 1.414 B 1.43 1.41 1.42 1.35 1.44 1.410 C 1.44 1.41 1.43 1.36 1.45 1.418 D 1.46 1.45 1.40 1.30 1.45 1.412 E 1.46 1.40 1.39 1.39 1.48 1.424 F 1.44 1.43 1.42 1.39 1.49 1.434 Column total 1.450 1.417 1.407 1.352 1.468 Grand Mean=1.419

Explanation / Answer

1.

There are k = 4 groups, and 4*30 = 120 participants.

Hence,

df1 = k - 1 = 3
df2 = N - k = 120 - 4 = 116

Hence

OPTION D: D. 3 and 116 [ANSWER]

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2.

D. All of the above are required assumptions [ANSWER]

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3.

B. overall sample mean (grand mean) [ANSWER]

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4.

As df1 = 6, df2 = 60, at 0.05 level, using table/technology,

Fcrit = 2.254

Hence,

OPTION D. None of the above is the correct answers [ANSWER]

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