A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval for the mean of the ​"before−​after" differences. Does hypnotism appear to be effective in reducing​ pain? Before         After 8.1               6.6 1.7               2.9 6.7               7.1 7.1               8.6 10.7             8.6 10.3             6.5 7.4               3.8 6.8               2.3

Question

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval for the mean of the ​"before−​after" differences. Does hypnotism appear to be effective in reducing​ pain?

Before         After
8.1               6.6
1.7               2.9
6.7               7.1
7.1               8.6
10.7             8.6
10.3             6.5
7.4               3.8
6.8               2.3

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