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IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. C a. If the sample size is n = 36, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is The standard deviation of the distribution of sample means is. (Type an integer or decimal rounded to the nearest tenth as needed.) b. If the sample size is n = 121, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is. The standard deviation of the distribution of sample means is (Type an integer or decimal rounded to the nearest tenth 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 b), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. O B. With larger 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 C. With smaller 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. O D. With smaller sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. C a. If the sample size is n = 36, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is The standard deviation of the distribution of sample means is. (Type an integer or decimal rounded to the nearest tenth as needed.) b. If the sample size is n = 121, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is. The standard deviation of the distribution of sample means is (Type an integer or decimal rounded to the nearest tenth 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 b), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. O B. With larger 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 C. With smaller 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. O D. With smaller sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation.

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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IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. C a. If the sample size is n = 36, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is The standard deviation of the distribution of sample means is. (Type an integer or decimal rounded to the nearest tenth as needed.) b. If the sample size is n = 121, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is. The standard deviation of the distribution of sample means is (Type an integer or decimal rounded to the nearest tenth 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 b), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. O B. With larger 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 C. With smaller 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. O D. With smaller sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation.
Transcribed Image Text:IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. C a. If the sample size is n = 36, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is The standard deviation of the distribution of sample means is. (Type an integer or decimal rounded to the nearest tenth as needed.) b. If the sample size is n = 121, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is. The standard deviation of the distribution of sample means is (Type an integer or decimal rounded to the nearest tenth 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 b), the means tend to be further apart, so they have more variation, which results in a bigger standard deviation. O B. With larger 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 C. With smaller 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. O D. With smaller sample sizes (as in part a), the means tend to be further apart, so they have more variation, which results in a smaller standard deviation.
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