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 0.025 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	$	1.29		$	4.36		$	3.10
2		1.37			1.87			1.87
3		1.21			2.40			1.72
4		2.01			4.15			2.22
5		1.57			2.10			2.40
6		1.35			5.05			4.21
7		2.46			3.75			3.90
8		1.25			3.10			4.21
9		2.40			4.15			1.80

  Click here for the Excel Data File

1. State the null hypothesis and the alternate hypothesis.

For Treatment (Stores): Null hypothesis

1. H₀: μ₁ ≠ μ₂ ≠μ₃

2. H₀: μ₁ = μ₂ =μ₃

A) a

B ) b

1. Alternate hypothesis

A) H₁: There is no difference in the storemeans

B )H₁: There is a difference in the storemeans.

1. For blocks (Items):

1. H₀: μ₁ = μ₂ = ...μ₉

2. H₀: μ₁ ≠ μ₂ ≠ ...μ₉

A) a

B) b

1. Alternate hypothesis

A) H₁: There is no difference in the itemmeans.

B) H₁: There is a difference in the itemmeans.

1. What is the decision rule for both? (Round your answersto 2 decimal places.)

Reject Ho if F>
For stores
For Items

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

	Source SS df MS F Stores Items Error Total

1. What is your decision regarding the null hypothesis? Thedecision for the F value (Stores) at 0.025 significanceis:

A )Reject H₀

B) Do not reject H₀

1. The decision for the F value (Items) at 0.025significance is: A)Reject H₀ B) Do not rejectH₀

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

	There is in the store means. There is in the item means.