David’s iPod has about 10,000 songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds.

a. Describe the shape of the sampling distribution of x¯ for SRSs of size n = 5 from the population of songs on David’s iPod. Justify your answer.

b. Describe the shape of the sampling distribution of x¯ for SRSs of size n = 100 from the population of songs on David’s iPod. Justify your answer.