Coach Z, the mid-distance running coach for the Olympic team of an eastern European country, claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected. Their times (in minutes) for the 1500-meter run were recorded before and after six months of training under Coach Z. The results are given below.
Construct the appropriate 95 percent confidence interval when we want to test whether there is a difference (s_d = .228).

Question

Coach Z, the mid-distance running coach for the Olympic team of an eastern European country, claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected. Their times (in minutes) for the 1500-meter run were recorded before and after six months of training under Coach Z. The results are given below.

Construct the appropriate 95 percent confidence interval when we want to test whether there is a difference (s_d = .228).

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The Answer of Coach Z, the mid-distance running coach for the Olympic team of an eastern European country, claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected. Their times (in minutes) for the 1500-meter run were recorded before and after six months of training under Coach Z. The results are given below. Construct the appropriate 95 percent confidence interval when we want to test whether there is a difference (s_d = .228).

Coach Z, the Mid-Distance Running Coach for the Olympic Team