Chapter 5.1, Problem 5.6LM

In Example 5.3 we used a computer to generate 1 ,000 samples, each containing n − 11 observations, from a uniform distribution over the interval from 150 to 200. For this exercise, use a computer to generate 500 samples, each containing n = 15 observations, from this population.

1. a. Calculate the sample mean for each sample. To approximate the sampling distribution of $\bar{x}$, construct a relative frequency histogram for the 500 values of $\bar{x}$.
2. b. Repeat part a for the sample median. Compare this approximate sampling distribution with the approximate sampling distribution of $\bar{x}$ found in part a.