Question 1
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 Bonferroni analysis are summarized below.
___________________
________________
Supermarket
A
B
C
Mean Price
1.66
1.80
1.94
Fully interpret the Bonferroni analysis.
Question 2
Suppose an experiment utilizing a random block design has 4 treatments and 10 blocks for a total of 40 observations. Assume that the total Sum of Squares for the response is SS(Total) = 300. If the Sum of Squares for Treatments (SST) is 20% of SS(Total), and the Sum of Squares for Blocks (SSB) is 40% of SS (Total), find the
F values for this experiment.
◦ treatments:
F = 3.38; blocks:
F = 2.70
◦ treatments:
F = 6.5; blocks:
F = 4.33
◦ treatments:
F = 4.50; blocks:
F = 3.00
◦ treatments:
F = 20.83; blocks:
F = 6.94
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