9) A local consumer reporter wants to compare the average costs of grocery items

Question

9) 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 9)-- 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 Supermkt df Anova SS Mean Square F Value PrzF 2 2.6412678 215.5949311 1.3206399 3.6541514 39.23 108.54 0.0001 0.0001 Item 59 118 3.9725322 0.0336655 Corrected Total 179 2.208 Based on the p-value of the test, make the proper conclusion. A) There is sufficient evidence (at ? = .01) to indicate differences among the mean prices of grocery items at the three supermarkets. B) There is sufficient evidence (at a .01) to indicate that the mean prices of grocery items at the three supermarkets are identical. C) No conclusions can be drawn from the given information. D) There is insufficient evidence (at a 01) to indicate differences among the mean prices of grocery items at the three supermarkets. there a relationship between the raises administrators at County University receive and their rformance on the job?

Explanation / Answer

We can see that the p-value is less than the alpha level. Whenever p-value is less than the alpha level, we reject the null hypothesis. Hence, here, the correct answer would be

a) There is sufficient evidence (at a=0.01) to indicate differences among the mean prices of grocery items at the three supermarkets.

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