Effectiveness of Hypnotism in Reducing Pain. A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are in centimeters on a pain scale before and after...

Effectiveness of Hypnotism in Reducing Pain. A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are in centimeters on a pain scale before and after hypnosis. Assume normality assumption is satisfied for this case. Use a 0.025 significance level to test the the effectiveness of hypnotism in reducing pain. The two samples are dependent/matched. Have the differences already.  The mean and the standard deviation of the differences as follows: D(Bar) = 2.05,        sD = 1.524.

Before           8.9   3.3   7.6   9.6   10.6   8.3   7.3   7.2

After              5.9   2.7   7.2   8.8   8.9    6.6    3.6   2.7

Difference     3.0   0.6   0.4   0.8   1.7   1.7   3.7    4.

(a)   State the null and alternative hypotheses.

(b)   List the correct critical value(s) and calculate the test statistic.

(c)    What is your conclusion based on the test statistic and the critical                 value(s) obtained part (b)?