Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights, recorded in inches (brother’s height minus sister’s height), was calculated for each pair. The 95% confidence interval for the mean difference in heights for all brother-and-sister pairs in this population was (–0.76, 4.34). What was the sample mean difference from these 24 pairs of siblings?
A confidence interval for a mean is centered at the sample mean. Find the midpoint of the interval’s endpoints: (−0.76 + 4.34) ÷ 2 = 3.58 ÷ 2 = 1.79 inches. Therefore, the sample mean difference was 1.79 inches, choice C.
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