A study was conducted to measure the effectiveness of hypnotism in reducing pain

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 "beforeafter" differences. Does hypnotism appear to be effective in reducing pain?

DATA

Before 7.5 6.9 2.0 2.5 300 7.1 6.9 8.4 10.1 6.3 4.1 3.4 3.1 2.9 After 8.2

Explanation / Answer

The statistical software output for this problem is:

Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Before and After
95% confidence interval results:

Hence,

95% confidence interval will be:

(-0.587, 2.062)

Since the interval contains zero, we do not have enough evidence to conclude that hypnotism is effective in reducing pain.

Difference Mean Std. Err. DF L. Limit U. Limit Before - After 0.7375 0.56027337 7 -0.58733598 2.062336

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