5) The average height of women is ̄y = 64.5 inches, the average height of men...

5) The average height of women is ̄y = 64.5 inches, the average height of men is ̄y = 67.5 inches. For both the standard deviation is about s = 3 inches. (a) Suppose you take a sample of 4 women and 4 men. Construct a 95% CI for both. Do the confidence intervals overlap? (b) Now repeat using a sample of 225 men and 225 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? (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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