In Example 6.2, we use the computer to generate 1,000

In Example 6.2, we use the computer to generate 1,000

In Example 6.2, we use the computer to generate 1,000 samples, each containing n = 11 observations, from a uniform distribution over the interval from 150 to 200. Now use the computer to generate 500 samples, each containing n = 15 observations, from that same population.
a. Calculate the sample mean for each sample. To approximate the sampling distribution of , construct a relative frequency histogram for the 500 values of .
b. Repeat part a for the sample median. Compare this approximate sampling distribution with the approximate sampling distribution of  found in part a.
Example 6.2
The rolling machine of a steel manufacturer produces sheets of steel of varying thickness. The thickness of a steel sheet follows a uniform distribution with values between 150 and 200 millimeters. Suppose we perform the following experiment over and over again: Randomly sample 11 steel sheets from the production line and record the thickness x of each. Calculate the two sample statistics
M = Median = Sixth sample measurement when the 11 thicknesses are arranged in ascending order
Obtain approximations to the sampling distributions of  and M.

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