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 "before-after" differences. Does hypnotism appear to be effective in reducing pain? Before After 8.7 6.4 4.3 2.2 11.1 7.8 8.2 8.3 9.2 8.9 10.3 6.8 6.6 3.8 4.4 2.1 Construct a 95% confidence interval for the mean of the "before-after" differences. D-

Explanation / Answer

Solution:-

d- bar = 2.0625

sd = d  = 1.3114

n = 8 , df = n - 1 = 8 - 1 = 7 t = 2.365

95% confidence interval for the mean of the before and after difference:

d-bar +/- t * sd/sqrt(n) =  2.0625 +/- 2.365 * 1.3114/sqrt(8)

= (0.9659 , 3.1590)

=> option B.

before 8.7 4.3 11.1 8.2 9.2 10.3 6.6 4.4 after 6.4 2.2 7.8 8.3 8.9 6.8 3.8 2.1 difference 2.3 2.1 3.3 -0.1 0.3 3.5 2.8 2.3

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