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5) Suppose the (sample) average height of women in the U.S. is y = 162.8 cm, and the average height of men in the U.S. is y = 176.4 cm. For both the sample standard deviation is about s = 7.65 cm. (a) Suppose you take a sample of 11 women and 7 men. Construct a 99% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 221 women and 199 men. Do the confidence intervals overlap? (c) Can you explain what happened? Why is sample size important if you're trying to find differences between groups? (Statistical comment: comparing CI's is not the correct way of comparing two groups, but it can give you an idea if there's a difference).

5) Suppose the (sample) average height of women in the U.S. is y = 162.8 cm, and the average height of men in the U.S. is y = 176.4 cm. For both the sample standard deviation is about s = 7.65 cm. (a) Suppose you take a sample of 11 women and 7 men. Construct a 99% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 221 women and 199 men. Do the confidence intervals overlap? (c) Can you explain what happened? Why is sample size important if you're trying to find differences between groups? (Statistical comment: comparing CI's is not the correct way of comparing two groups, but it can give you an idea if there's a difference).

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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5) Suppose the (sample) average height of women in the U.S. is y = 162.8 cm, and the average height of men in the U.S. is y = 176.4 cm. For both the sample standard deviation is about s = 7.65 cm. (a) Suppose you take a sample of 11 women and 7 men. Construct a 99% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 221 women and 199 men. Do the confidence intervals overlap? (c) Can you explain what happened? Why is sample size important if you're trying to find differences between groups? (Statistical comment: comparing CI's is not the correct way of comparing two groups, but it can give you an idea if there's a difference).
Transcribed Image Text:5) Suppose the (sample) average height of women in the U.S. is y = 162.8 cm, and the average height of men in the U.S. is y = 176.4 cm. For both the sample standard deviation is about s = 7.65 cm. (a) Suppose you take a sample of 11 women and 7 men. Construct a 99% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 221 women and 199 men. Do the confidence intervals overlap? (c) Can you explain what happened? Why is sample size important if you're trying to find differences between groups? (Statistical comment: comparing CI's is not the correct way of comparing two groups, but it can give you an idea if there's a difference).
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