Author Question: A local consumer reporter wants to compare the average costs of grocery items purchased at three ... (Read 101 times)

littleanan · **on:** Feb 14, 2020

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.

ebe · **Reply #1 on:** Feb 14, 2020

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