A company has three stores located in three different areas and wants to see if there is any difference in the average sales of three stores. Random samples of the sales of the three stores (in $1,000) are shown below. As the statistical consultant to this company, can you conclude that these three stores are different in terms of sales? Use a 0.05 level of significance and the p-value approach. It has been verified that all the populations are normally distributed. Store 1 Store 2 Store 3 88 76 62 84 78 67 88 60 58 82 62 69 93 72 60 Use Tukey's HSD procedure and determine which population mean (if any) is different from the others. Let a = 0.05. The standard deviations for each program are given below. sales $Store: Store 1 [1] 4.242641 sales $Store: Store 2 [1] 8. 173127 sales $Store: Store 3 [1] 4.658326 The R outputs for the hypothesis test are also given. Of Sum Sq Mean Sq F value Pr(>F) Store 1517 758.5 21. 36 0. 000111 *## Residuals 12 426 35 .5 Signif. codes: 0 "#*#' 0.001 "=#' 0.01 *#' 0.05 . . ' 0.1 . ' 1 Multiple Comparisons of Means: Tukey Contrasts Fit: aov(formula = Sales ~ Store, data = sales) Linear Hypotheses: Estimate Std. Error t value Pr (>|t/) Store 2 - Store 1 0 -17.400 3.768 -4. 617 0.00175 *# Store 3 Store 1 -23.800 3.768 -6.316