The weekly mean sales (in thousands of dollars) of the three local hardware stor
ID: 3368990 • Letter: T
Question
The weekly mean sales (in thousands of dollars) of the three local hardware stores are as shown. Store A: 8.8, 8.3, 9.6, 9.9 Store B: 7.0, 7.9, 5.4, 5.5 Store C: 5.0, 6.2, 4.6, 7.0 Instead of comparing the population weekly mean sales of the three local hardware stores based only on location, suppose we want to compare the mean weekly sales based on location and season of the year (winter, spring, summer, and fall). The following are some calculations of the data: MSE = 2.568, MSL = 7.776, MSS = 44.961, MSLS = 10.596. Find the F statistic for location, season, and location*season.
3.028, 17.508, and 4.126
3.303, 0.571, and 2.424
5.208, 42.393, and 8.028
Explanation / Answer
F-statistic for location= (MSL/MSE) = (7.776/2.568)= 3.028037
that is, F-statistics for location=3.028
F-statistic for season= (MSS/MSE) = (44.961/2.568)= 17.50818
that is, F-statistics for season=17.508
F-statistic for locatio*season= (MSLS/MSE) = (10.596/2.568)= 4.126168
that is, F-statistic for locatio*season=4.126
Hence, F-statistic for location, season, and location*season are 3.028, 17.508, and 4.126 respectively.
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