Consider Exercise 3.22 in the class textbook. Briefly, radon-enriched water was used to investigate the relationship between the orifice diameter of a shower head and the percentage of radon released. Six shower heads, each with holes (i.e., orifices) of different diameter were used. Four runs of the experiment were performed using each shower head (for a total of 24 runs in the experiment). For each run, the percentage of random released was determined by measuring the difference in radon concentrations between the radon-rich water entering the shower and the water collected after going through the shower head orifices. The table below provides the percentage of radon released for each of the four runs of each shower head. Address the following items below regarding the multiple comparisons analysis of the data rom this experiment. a. Calculate the absolute value of the difference in each pair of shower head mean radon release percentages. b. Using Scheffe's method, calculate the critical value for testing a difference in two mean radon release percentages while controlling FWER at 5\%. (NOTE: The critical value is the same for the comparison of each pair of means.) c. Using Scheffe's method, determine which pairs of shower heads have a significant difference in mean radon release percentages. d. Using Tukey's method, calculate the critical value for testing a difference in two mean radon release percentages while controlling FWER at 5%. e. Using Tukey's method, determine which pairs of shower heads have a significant difference in mean radon release percentages. f. Using Fisher's LSD method, calculate the critical value for testing a difference in two mean radon release percentages while controllin the Type I error rate at 5%. g. Using Fishers's LSD method, determine which pairs of shower heads have a significant difference in mean radon release percentages. h. Using Dunnett's method, calculate the critical value for testing a difference in two mean radon release percentages while controlling FWER at 5%. i. Using Dunnett's's method, determine which pairs of shower heads have a significant difference in mean radon release percentages. For this analysis, use the runs from shower head 1 as the control group. j. If the researchers who conducted this experiment are interested in comparing every pair of shower head mean radon release percentages, which multiple comparisons testing method do you recommend? Justify your