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

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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. Ho: 1 = 2                                        Ha: 1 = 3

b. Ho: 1 = 3                                       Ha: 3 = 2

c. Ho: 1 = 2 = 3                               Ha: all means are different

d. Ho: 1 = 2 = 3                               Ha: at least one mean is different

e. Ho: 1 = 2                                          Ha: 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 Ho: all means are equal.

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

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

d. The test result is inconclusive.

e. Reject Ho: 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

Explanation / Answer

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

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