Terrestrial Radio Listeners have several options to traditional terrestrial radio, for example, Internet radio, music services, satellite radio, and individual playlists. Despite the loss of listeners, traditional terrestrial radio stations still run lots of commercials. A list of traditional music and talk radio stations was obtained, and a random hour during the day was selected for each. The total time for commercials during the hour (in minutes) was recorded for each.
a. Use the Wilcoxon rank-sum test to determine whether there is any evidence to suggest that the population median commercial time per hour is greater on talk radio stations than on music stations. Use a = 0.05 and find the p value associated with this test.
b. Suppose the underlying distributions are approximately normal. Use a two-sample t test assuming equal variances to determine whether there is any evidence to suggest that the population mean commercial time per hours is greater on talk radio stations than on music stations. Use a = 0.05 and find the p value associated with this test.
c. Which test do you think is more appropriate? Why?
d. Summarize your results-which type of station plays more commercials?