Three supermarket chains in the Denver area each claims to have the lowest overa

Question

Three supermarket chains in the Denver area each claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, the Denver Daily News conducted a study. First, a random sample of nine grocery items was selected. Next, the price of each selected item was checked at each of the three chains on the same day. At the 0.01 significance level, is there a difference in the mean prices at the supermarkets or for the items?

Item

a-5.

a-6.

Super$ Ralph's Lowblaws 1 $3.52 $5.17 $1.25 2 2.22 5.05 2.40 3 4.15 4.36 1.80 4 3.08 4.36 1.87 5 2.40 4.15 2.10 6 5.05 3.75 3.10 7 4.15 3.75 2.50 8 4.21 4.21 2.30 9 1.57 2.10 1.14

a-5.

What is the decision rule for both? (Round your answers to 2 decimal places.)   For Stores, reject H0 if F >   For Items, reject H0 if F >

a-6.

Complete an ANOVA table. (Round SS, MS to 3 decimal places and F to 2 decimal places.)   Source SS df MS F   Stores   Items   Error   Total

Explanation / Answer

From Excel

a5)

  For Stores, reject H0 if F > 3.8896

For Items, reject H0 if F > 6.2262

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance 1 3 9.94 3.313333 3.873633 2 3 9.67 3.223333 2.510633 3 3 10.31 3.436667 2.020033 4 3 9.31 3.103333 1.550433 5 3 8.65 2.883333 1.225833 6 3 11.9 3.966667 0.985833 7 3 10.4 3.466667 0.740833 8 3 10.72 3.573333 1.216033 9 3 4.81 1.603333 0.231233 super 9 30.35 3.372222 1.294344 Ralph's 9 36.9 4.1 0.805275 Lowblaws 9 18.46 2.051111 0.381936 ANOVA Source of Variation SS df MS F P-value F crit Rows 10.56227 8 1.320283 2.273857 0.077085 3.889572 Columns 19.41882 2 9.709411 16.72202 0.00012 6.226235 Error 9.290178 16 0.580636 Total 39.27127 26

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