A local consumer reporter wants to compare the average costs of grocery items purchased at three different supermarkets, A, B, and C. Prices (in dollars) were recorded for a sample of 60 randomly selected grocery items at each of the three supermarkets. In order to reduce item-to-item variation, the prices were recorded for each item on the same day at each supermarket.
The results of the ANOVA are summarized in the following table.
| Source | df | Anova SS | Mean Square | F Value | Pr > F |
| Supermkt | 2 | 2.6412678 | 1.3206399 | 39.23 | 0.0001 |
| Item | 59 | 215.5949311 | 3.6541514 | 108.54 | 0.0001 |
| Error | 118 | 3.9725322 | 0.0336655 |
| Corrected Total | 179 | 222.2087311 | |
Based on the
p-value of the test, make the proper conclusion.
◦ No conclusions can be drawn from the given information.
◦ There is sufficient evidence (at
α = .01) to indicate differences among the mean prices of grocery items at the three supermarkets.
◦ There is sufficient evidence (at
α = .01) to indicate that the mean prices of grocery items at the three supermarkets are identical.
◦ There is insufficient evidence (at
α = .01) to indicate differences among the mean prices of grocery items at the three supermarkets.
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