Suppose the (sample) average height of women is ̄y = 65.6 inches, the average height of men is ̄y = 68.6 inches. For both the sample standard deviation is about s = 3 inches. (a) Suppose you take a sample of 5 women and 4 men. Construct a 95% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 205 men and 220 women. 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?
Suppose the (sample) average height of women is ̄y = 65.6 inches, the average height of men is ̄y = 68.6 inches. For both the sample standard deviation is about s = 3 inches. (a) Suppose you take a sample of 5 women and 4 men. Construct a 95% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 205 men and 220 women. 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Suppose the (sample) average height of women is ̄y = 65.6 inches, the average height of men is ̄y =
68.6 inches. For both the sample standard deviation is about s = 3 inches.
(a) Suppose you take a sample of 5 women and 4 men. Construct a 95% CI for both. Do the
confidence intervals overlap?
(b) Now repeat using a sample of 205 men and 220 women. Do the confidence intervals
overlap?
(c) Can you explain what happened? Why is
differences between groups?
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