ANOVA Table and Tukey Test please answer parts ABC and D and

ANOVA Table and Tukey Test, please answer parts A,B,C, and D and show all work/explanations, thank you!

On Black Friday an experiment was ran to determine the combination of store type and opening time that results in the highest number of customers waiting in line to enter. You are given ANOVA results, a Tukey test, and interactions and main effects plots. Please answer the questions that follow each Minitab output. From the Tukey test above what can be concluded about the lines at clothing stores in the morning and electronic stores at midnight? When are lines at electronic stores the shortest? From the interactions plot, what combination of store type and opening time results in the highest number of customers? What combination does the main effects plot suggest? Which plot should be trusted? Please redo the ANOVA table without considering interactions.

Solution

A. both factor store type and opening are significant at alpha=0.05

B.

C. morning & clothing by interaction and electronics & midnight by main factour

D. we add the df and sum of square of interaction part in the error part and re-calculate