Use the related TVMeans applet.
Use the TVMeans applet, which selects random samples from a population modeled by using responses given by college students to a question asking how many hours they watch television in a typical week. The mean for the population is μ = 8.352 hours and the standard deviation is σ = 7.723 hours.
a. Generate 500 different random samples of n = 5 observations. Draw a sketch showing the shape of the histogram of sample means for random samples of n = 5.
b. Generate 500 different random samples of n = 49 observations. Draw a sketch showing the shape of the histogram of sample means for random samples of n = 49.
c. Refer to the two situations given in Section 9.6 for which the sampling distribution of the mean is approximately normal. Explain which situation is present in the TVMeans applet. Also, explain how parts (a) and (b) illustrate that situation.