Use the pennstate1 dataset on the companion website for this exercise. The data for the variable HrsSleep are responses by n = 190 students to the question "How many hours did you sleep last night?" For this exercise, suppose that they are the whole population.
a. Simulate 200 samples of n = 10 responses for HrsSleep. Show the commands you used, or explain how you did the simulation.
b. Draw a histogram of the 200 sample means.
c. Describe the simulated sampling distribution you found in part (b).
d. Draw a histogram of the 200 sample medians for the samples you found in part (a).
e. Compare the sampling distributions for the sample mean and the sample median.