Rainfall on Weekends USA Today and other newspapers reported on a study that sup- posedly showed that it rains more on weekends. The study referred to areas on the East Coast near the ocean. Data Set 11 in Appendix B lists the rainfall amounts in Boston for one year. The 52 rainfall amounts for Wednesday have a mean of 0.0517 in. and a standard deviation of 0.1357 in. The 52 rainfall amounts for Sunday have a mean of 0.0677 in. and a standard deviation of 0.2000 in.
a. Assuming that we want to use the methods of this section to test the claim that Wednesday and Sunday rainfall amounts have the same standard deviation, identify the F test statistic, critical value, and conclusion. Use a 0.05 significance level.
b. Consider the prerequisite of normally distributed populations. Instead of construct- ing histograms or normal quantile plots, simply examine the numbers of days with no rainfall. Are Wednesday rainfall amounts normally distributed? Are Sunday rainfall amounts normally distributed?
c. What can be concluded from the results of parts (a) and (b)?