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c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below. O A. With larger sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. OB. With larger sample sizes (as in part a), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OC. With smaller sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OD. With smaller sample sizes (as in part b), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation. OCT 15 MacBook Air tv S A ASPHALT W

c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below. O A. With larger sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. OB. With larger sample sizes (as in part a), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OC. With smaller sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OD. With smaller sample sizes (as in part b), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation. OCT 15 MacBook Air tv S A ASPHALT W

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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280 On K % 5 Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a standard deviation of 3.452. Assume that n twelve-sided dice are rolled many times and the mean of the n outcomes is computed each time. T a. Find the mean and standard deviation of the resulting distribution of sample means for n = 144. The mean of the resulting distribution of sample means is 6.5 (Round to the nearest tenth as needed.) The standard deviation of the distribution of sample means is 0.288 (Round to the nearest thousandth as needed.) b. Find the mean and standard deviation of the resulting distribution of sample means for n = 64. The mean of the resulting distribution of sample means is 6.5 (Round to the nearest tenth as needed.) The standard deviation of the distribution of sample means is 0.432 (Round to the nearest thousandth as needed.) c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below. O A. With larger sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. OB. With larger sample sizes (as in part a), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OCT & 15 OC. With smaller sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. O D. With smaller sample sizes (as in part b), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation. F5 < 6 Y Hel F6 & que no MacBook Air 7 gu ♫ U ◄◄ F7 @ * 8 tv S Sl DII F8 I ( 9 DD F9 O 0 A > F10 P WISS - wwwwwwwww ASPHALT & F11 W + 11 { [ D F12
Transcribed Image Text:280 On K % 5 Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a standard deviation of 3.452. Assume that n twelve-sided dice are rolled many times and the mean of the n outcomes is computed each time. T a. Find the mean and standard deviation of the resulting distribution of sample means for n = 144. The mean of the resulting distribution of sample means is 6.5 (Round to the nearest tenth as needed.) The standard deviation of the distribution of sample means is 0.288 (Round to the nearest thousandth as needed.) b. Find the mean and standard deviation of the resulting distribution of sample means for n = 64. The mean of the resulting distribution of sample means is 6.5 (Round to the nearest tenth as needed.) The standard deviation of the distribution of sample means is 0.432 (Round to the nearest thousandth as needed.) c. Why is the standard deviation in part a different from the standard deviation in part b? Choose the correct answer below. O A. With larger sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. OB. With larger sample sizes (as in part a), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. OCT & 15 OC. With smaller sample sizes (as in part b), the means tend to be closer together, so they have less variation, which results in a smaller standard deviation. O D. With smaller sample sizes (as in part b), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation. F5 < 6 Y Hel F6 & que no MacBook Air 7 gu ♫ U ◄◄ F7 @ * 8 tv S Sl DII F8 I ( 9 DD F9 O 0 A > F10 P WISS - wwwwwwwww ASPHALT & F11 W + 11 { [ D F12
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