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 0.100 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 | $ | 2.32 | | $ | 1.25 | | $ | 1.25 | |
2 | | 2.40 | | | 1.80 | | | 1.87 | |
3 | | 2.10 | | | 3.10 | | | 3.10 | |
4 | | 2.30 | | | 1.87 | | | 1.87 | |
5 | | 1.21 | | | 1.37 | | | 1.37 | |
6 | | 4.04 | | | 3.05 | | | 1.72 | |
7 | | 4.32 | | | 3.52 | | | 2.22 | |
8 | | 4.15 | | | 3.08 | | | 2.40 | |
9 | | 5.05 | | | 4.15 | | | 4.21 | |
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Data File
State the null hypothesis and the alternate hypothesis.
For Treatment (Stores): Null hypothesis
H0: μ1 ≠μ2 ≠μ3
H0: μ1 = μ2 =μ3
Alternate hypothesis
For blocks (Items):
H0: μ1 = μ2 = ...μ9
H0: μ1 ≠μ2 ≠...μ9
Alternate hypothesis
What is the decision rule for both? (Round your answersto 2 decimal places.)
Complete an ANOVA table. (Round your SS, MS to 3 decimalplaces, and F to 2 decimal places.)
What is your decision regarding the null hypothesis? Thedecision for the F value (Stores) at 0.100 significanceis:
Reject H0
Do not reject H0
The decision for the F value (Items) at 0.100significance is:
Do not reject H0
Reject H0
Is there a difference in the item means and in the storemeans?