Question

In: Statistics and Probability

Each of three supermarket chains in the Denver area claims to have the lowest overall prices....

Each of three supermarket chains in the Denver area claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, a local television station conducted a study by randomly selecting nine grocery items. Then, on the same day, an intern was sent to each of the three stores to purchase the nine items. From the receipts, the following data were recorded. At the 0.010 significance level, is there a difference in the mean price for the nine items between the three supermarkets?

Item Super's Ralph's Lowblaw's
1 $ 1.87 $ 3.10 $ 1.87
2 1.07 2.46 2.46
3 1.14 1.23 1.37
4 1.10 1.29 1.29
5 1.25 2.46 1.25
6 3.54 1.72 2.40
7 1.25 1.25 2.40
8 1.80 1.87 2.10
9 3.10 2.50 2.30

  Click here for the Excel Data File

A. State the null hypothesis and the alternate hypothesis.

For Treatment (Stores): Null hypothesis

choices:

a. H0: μ1 ≠ μ2 ≠ μ3

b. H0: μ1 = μ2 = μ3

B. Alternate hypothesis

choices:

a. H1: There is no difference in the store means.

b. H1: There is a difference in the store means.

C. For blocks (Items):

choices:

a. H0: μ1 = μ2 = ... μ9

b. H0: μ1 ≠ μ2 ≠ ... μ9

D. Alternate hypothesis

choices:

a. H1: There is no difference in the item means.

b. H1: There is a difference in the item means.

E. What is the decision rule for both? (Round your answers to 2 decimal places.)

Reject H0 if F>   

Reject H0 if F>
For stores ?
For items ?

F. Complete an ANOVA table. (Round your SS, MS to 3 decimal places, and F to 2 decimal places.)

source SS df MS F  
Stores ? ? ? ?
Items ? ? ? ?
Error ? ? ?
Total ?

G. What is your decision regarding the null hypothesis? The decision for the F value (Stores) at 0.010 significance is:

choices:

a. Do not reject H0

b. Reject H0

H. The decision for the F value (Items) at 0.010 significance is:

choices:

a. Reject H0

b. Do not reject H0

I. Is there a difference in the item means and in the store means?

There is (a difference / no difference) in the store means. There is (a difference / no difference) in the item means.

Solutions

Expert Solution


orchestra answered 1 year ago
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