43. Waist size. A study commissioned by a clothing manufacturer measured the Waist Size of 250 men, finding a mean of 36.33 inches and a standard deviation of 4.02 inches.

Here is a histogram of these measurements:

a) Describe the histogram of Waist Size.

b) To explore how the mean might vary from sample to sample, they simulated by drawing many samples of size 2, 5, 10, and 20, with replacement, from the 250 measurements.

Here are histograms of the sample means for each simulation.
Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample means.

Transcribed Image Text:

Number of Subjects 50 40 30 20 10 0 30 40 Waist Size (inches) 50