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Histograms Samples of size 2 200 Samples of size 5 28 Sample Mean Waist Size 48 30 Sample Mean Waist Size 42 Samples of sizeSamples of size Q 20 200 200 32 Sample Mean Waist Size 32 Sample Mean Waist SizeThis Question: 1 pt 7 of 8 (0 complete) This Quiz: 8 pts pos A study measured the waist size of 989 men, finding a mean of 36.22 inches and a standard deviation of 4.03 inches. A histogram of these measurements is shown to the right a) Describe the histogram of the waist sizes b) To explore variation of the mean from sample to sample, they simulated by drawing many samples of size 2, 5, 10, and 20 with replacement, from the 989 measurements. The histograms for each simulation are shown in the accompanying table. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample means 300 200 6 10 26 50 Waist Size (inches) Click the icon to view the histograms a) Choose the correct answer below 0 A. The histogram is skewed to the left. O B. The histogram is symmetric. O C. The histogram is skewed to the right. b) These simulations ▼ to demonstrate what the Central Limit Theorem says about the sampling distribution model for sample means. All of the histograms are centered near 36 inches. As n gets larger, the histograms V and the variability in the sample means The histograms by the time the sample reaches stz

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Answer #1

The histogram is skewed to the right. As n gets larger, the histograms tend to be centered around the mean and the variability in the sample means decreases. The histograms are symmetrically distributed around the mean by the time the sample size is 5.

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