Question

A fast food chain wants to compare daily sales during three types (A,B,C) of sales promotions....

A fast food chain wants to compare daily sales during three types (A,B,C) of sales promotions. The sales promotions were employed in four different cities, and the orders of promotions were randomly assigned within each city. The amount of sales (in thousands of dollars) for one store in each city was measured. Test if the mean amount of sales for the three types of promotions are different.

A

B

C

City 1

5

6

4

City 2

3

7

3

City 3

5

6

2

City 4

3

8

3

State the null and alternative hypotheses.

Group of answer choices

A. H0: mu1=mu2=mu3=mu4, Ha: At least two mu’s are different

B. H0: At least two mu’s are different, Ha: mu1=mu2=mu3=mu4

C. H0: At least two mu’s are different, Ha: muA=muB=muC

D. H0: muA=muB=muC, Ha: At least two mu’s are different

Continue to consider Question 8.

Fill in DF the ANOVA table.

Source

DF

SS

MS

F

Treatment

(a)

30

15

(e)

Block

(b)

0.9

0.3

(f)

Error

(c)

9

1.5

Total

(d)

39.9

Group of answer choices

(a) = 3, (b) = 2, (c) = 7, (d) = 12

(a) = 2, (b) = 3, (c) = 7, (d) = 12

(a) = 3, (b) = 2, (c) = 6, (d) = 11

(a) = 2, (b) = 3, (c) = 6, (d) = 11

Continue to consider Question 8.

Fill in F values the ANOVA table.

Group of answer choices

(e) = 10, (f) = 0.2

(e) = 3.33, (f) = 0.1

(e) = 50, (f) = 0.2

(e) = 0.75, (f) = 0.1

Continue to consider Question 8.

Find the rejection region. Use a 0.10 level of significance.

Group of answer choices

F < 3.46

F > 3.46

F > 2.86

F < 2.86

Continue to consider Question 8.

What is your conclusion at 0.10 level of significance?

Group of answer choices

A. Do not reject H0. Insufficient evidence that at least two promotions have different mean sales.

B. Reject H0. Sufficient evidence that at least two promotions have different mean sales.

C. Do not reject H0. Insufficient evidence that all promotions have the same mean sales.

D. Reject H0. Sufficient evidence that all promotions have the same mean sales.

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