Use the related TVMeans applet.
Refer to given Exercise about the TVMeans applet. Assume that the sampling distribution of the sample mean is approximately normal for random samples of n = 49 observations.
a. Use the Empirical Rule to find the interval of values into which the sample mean will fall about 95% of the time for random samples of n = 49.
b. Use the Empirical Rule to find the interval of values into which the sample mean will fall about 68% of the time for random samples of n = 49.
Exercise
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.