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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are...

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 ​"beforeminus−​after" differences. Does hypnotism appear to be effective in reducing​ pain?

Before

8.48.4

5.25.2

9.59.5

7.17.1

12.612.6

5.05.0

3.43.4

0.20.2

After

6.36.3

2.12.1

7.37.3

8.48.4

8.58.5

6.56.5

3.23.2

2.1

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