Use the following information to calculate your answers to q

Use the following information to calculate your answers to questions 13 through 23.

The marketing department of a company has designed three different boxes for its product. It wants to determine which box will produce the largest amount of sales. Each box will be test marketed in five different stores for a period of a month. Information on sales is provided below.

Question 13

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What are the null and alternative hypotheses in this case?

Select one:

a. H_o: ₁ = ₂                                        H_a: ₁ = ₃

b. H_o: ₁ = 3                                       H_a: ₃ = ₂

c. H_o: ₁ = ₂ = 3                               H_a: all means are different

d. H_o: ₁ = ₂ = 3                               H_a: at least one mean is different

e. H_o: ₁ = ₂                                          H_a: ₂ = ₃

Question 14

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The treatments sum of squares is

Select one:

a. 27,400.41

b. 711.07

c. 2,022.14

d. 2,466.72

e. 24,467.2

Question 15

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The error sum of squares is

Select one:

a. 27,400.41

b. 2,022.14

c. 24,667.2

d. 2,466.72

e. 711.07

Question 16

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The blocks degrees of freedom are

Select one:

a. 8

b. 14

c. 6

d. 4

e. 2

Question 17

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The total degrees of freedom are

Select one:

a. 6

b. 2

c. 4

d. 14

e. 8

Question 18

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The treatments mean square is

Select one:

a. 12,233.60

b. 6,166.80

c. 1,233.36

d. 177.77

e. 252.77

Question 19

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The F statistic is

Select one:

a. 48.4

b. 24.7

c. 69.38

d. 8.65

Question 20

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With = 0.01, critical F statistic is

Select one:

a. 4.46

b. 6.06

c. 8.65

d. 46.4

e. 48.4

Question 21

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What conclusion do you draw?

Select one:

a. Do not reject H_o: all means are equal.

b. Do not reject H_o: all means are different.

c. Reject H_o: at least one mean is different from others.

d. The test result is inconclusive.

e. Reject H_o: all means are equal.

Question 22

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With = 0.01, the value of Fisher’s LSD is

Select one:

a. 28.37

b. 31.87

c. 32.68

d. 33.73

e. 29.12

Question 23

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Based on the LSD test above, which (if any) is different from the others?

Select one:

a. The mean of box 1 is different from the others.

b. All means are different.

c. All means are equal.

d. The mean of box 2 is different from the others.

e. The mean of box 3 is different from the others.

	Store 1	Store 2	Store 3	Store 4	Store 5
Box 1	210	230	190	180	190
Box 2	195	170	200	190	193
Box 3	295	275	290	275	265

Solution