Waist size A study 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.

Test Statistic measures how far the sample data diverge from what we would expect should the null hypothesis be true So, a test statistic with a high magnitude would show that the date is not consistent with H o P-values the probability (when H0 I true) that the test statistic takes a value that is as extreme or more extreme than what is observed A small p value means stronger evidence against Ho provided by the data, and you reject the null hypothesis Significance levels Denoted by Used as evidence for or against H 0 If a p value is smaller than , we reject H o If the p value is larger that , we fail to rejectoH If a significance level is not given, always assume = .05