Question

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 was recorded. At the 0.05 significance level, is there a difference in the mean price for the nine items between the three supermarkets?

Item	Super's	Ralph's	Lowblaws
1	$1.12	$1.02	$1.07
2	1.14	1.10	1.21
3	1.72	1.97	2.08
4	2.22	2.09	2.32
5	2.40	2.10	2.30
6	4.04	4.32	4.15
7	5.05	4.95	5.05
8	4.68	4.13	4.67
9	5.52	5.46	5.86

3. For blocks (Items):

1. H₀: μ₁ = μ₂ = ... μ₉

2. H₀: μ₁ ≠ μ₂ ≠ ... μ₉

4. Alternate hypothesis

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

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

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

Reject Ho if F>
For Stores
For Items

6. 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

7. What is your decision regarding the null hypothesis? The decision for the F value (Stores) at 0.05 significance is:

• Do not reject H₀

• Reject H₀

8. The decision for the F value (Items) at 0.05 significance is:

• Do not reject H₀

• Reject H₀

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

   There is a difference in the

   but not in the

   .

Answer 1

ANSWER:

Given that,

3)

Option A is correct.

4}

H1 :There is a difference in the item means.

5)

reject Ho if F>

for stores: >3.63

for items >2.59

Source of Variation	SS	df	MS	F
stores	0.137	2	0.069	3.10
items	71.614	8	8.952	405.62
Error	0.353	16	0.022
Total	72.104	26

6)

Source of Variation	SS	df	MS	F
stores	0.137	2	0.069	3.10
items	71.614	8	8.952	405.62
Error	0.353	16	0.022
Total	72.104	26

7)

do not reject Ho

8)

reject Ho

9)

there is a difference in the item means but not in the store means