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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. T 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. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) Theoretical Observed Theoretical st. dev mean st. dev 2.855 1.805 1.276 0.895 n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Summary Statistics Table n mean 2 36.314 5 36.314 10 36.341 st dev 2.855 1.805 1.276 20 36.339 0.895 X

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. T 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. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) Theoretical Observed Theoretical st. dev mean st. dev 2.855 1.805 1.276 0.895 n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Summary Statistics Table n mean 2 36.314 5 36.314 10 36.341 st dev 2.855 1.805 1.276 20 36.339 0.895 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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← 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. 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. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Ask my instructor Theoretical mean Observed st. dev. 2.855 1.805 1.276 0.895 Theoretical st. dev. Summary Statistics Table n mean 36.314 2 st. dev 2.855 1.805 5 36.314 10 36.341 1.276 20 36.339 0.895 Print Done
Transcribed Image Text:← 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. 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. The summary statistics for these simulations are shown below. Answer parts a through d below. Click the icon to view the summary statistics table. Click the icon to view the histogram of the measurements and histograms of the sample means for each simulation. a) According to the Central Limit Theorem, what should the theoretical mean and standard deviation be for each of these sample sizes? Complete the table below. (Round to three decimal places as needed.) n 2 5 10 20 Observed mean 36.314 36.314 36.341 36.339 Ask my instructor Theoretical mean Observed st. dev. 2.855 1.805 1.276 0.895 Theoretical st. dev. Summary Statistics Table n mean 36.314 2 st. dev 2.855 1.805 5 36.314 10 36.341 1.276 20 36.339 0.895 Print Done
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