5.32 Average file size on a tablet. Refer to Exercise 5.30. Suppose that the true mean file size of the music and video files on the tablet is 2.35 MB and you plan to take an SRS of n = 50 files.
(a) Explain why it may be reasonable to assume that the average is approximately Normal even though the population distribution is highly skewed.
(b) Sketch the approximate Normal curve for the sample mean, making sure to specify the mean and standard deviation.
(c) What is the probability that your sample mean will differ from the population mean by more than 0.15 MB?