The weekly mean sales (in thousands of dollars) of the three local hardware stor

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 P-values found from using a two-way ANOVA test are P-value for location is 0.738, P-value for season is 0.003, and P-value for location*season is 0.642. Which of the following statements is(are) true?

i. There is sufficient evidence to show that location has an effect on the weekly mean sales.

ii. There is sufficient evidence to show season has an effect on the weekly mean sales. iii.

There is sufficient evidence to show there is an interaction effect between location and season on the weekly mean sales.

ii only

i and iii

i, ii, and iii

Explanation / Answer

as p value is significant only for season which means onlty seson has effect on  weekly mean sales

hence correct option is :

ii only

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