Students are asked about the number of songs they downloaded from a pay-for-songs Web site the last month. From a random sample of 39 students, the sample mean was 4.7 with a standard deviation of 3.2.
(a) Obtain a 95% confidence interval for μ, the mean number of songs downloaded by the population of all students.
(b) Does μ lie in your interval obtained in part(a)?
(c) In a long series of repeated experiments, with new samples of 39 students collected for each experiment, what proportion of the resulting confidence intervals will contain the true population mean? Explain your reasoning.