A local radio station plays 40 rock-and-roll songs during each 4-hour show. The program direct total amount of airtime for the 40 songs so that time can also be programmed during the show f distribution of the lengths of rock-and-roll songs, in minutes. Is roughly symmetric with a mean Deviation of 1.l minutes.

a. Describe the sampling distribution (center and spread) of the sample men song length roll songs. Sketch a curve that represents the sampling distribution.

b. To rest claim that the mean running time of a song is 3.9 minutes with a standard deviation of 40 songs was taken. The sample mean was 4.2 minutes with a sample standard deviation sample refine the claim that the true mean running time is 3.9 minutes? Explain.

c. If the program manager schedules 80 minutes of news and advertisements for the 4-hour minutes re available for music. Approximately what is the randomly selected rock-and-roll songs exceeds the available airtime? (Given that the standard deviation of -1.1 minutes). Shade the area on the curve in part a.