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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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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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