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Each of three supermarket chains in the Denver area claims tohave the lowest overall prices. As part of an investigative studyon supermarket advertising, a local television station conducted astudy by randomly selecting nine grocery items. Then, on the sameday, an intern was sent to each of the three stores to purchase thenine items. From the receipts, the following data were recorded. Atthe 0.010 significance level, is there a difference in the meanprice 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 storemeans.

b. H₁: There is a difference in the storemeans.

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 itemmeans.

b. H₁: There is a difference in the itemmeans.

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

Reject H0 if F>  Â	Reject H0 if F>
For stores	?
For items	?

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

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

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

choices:

a. Do not reject H₀

b. Reject H₀

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

choices:

a. Reject H₀

b. Do not reject H₀

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

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