Question: 18. Refer to Exercise 17. Suppose that from that same data set, we want to compute the average difference between the heights of adult British

18. Refer to Exercise 17. Suppose that from that same data set, we want to compute the average difference between the heights of adult British men and adult British women—not the average difference within married couples.

a. Which of the two methods in Exercise 17 would be appropriate for this situation?

b. The 200 men in the sample had a mean height of 68.2 inches, with a standard deviation of 2.7 inches. The 200 women had a mean height of 63.1 inches, with a standard deviation of 2.5 inches. Assuming these were independent samples, compute a 95% confidence interval for the mean difference in heights between British males and females. Interpret the resulting interval in words that a statistically naive reader would understand.

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