Question

A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the following table. Use a-0.05 Subjects | A | B | C | D | E | F | G Before6.6 6.5 9.0 10.3 11.3 8.1 6.3 11.6 After 6.8 2.4 7.48.5 8.1 6.1 3.42.0 a) Identify the hypotheses, (Ho and H b) Find the margin of error c) Construct a 95% confidence interval estimate of the mean "before-after" differences. d) Does hypnotism appear to be effective in reducing pain?

Answer 1

a)let before-after =d

Ho: $\mu$ _d <=0

H1: $\mu$ _d >0

b)

margin of error =2.434

c)95% confidence interval estimate for mean differences =0.691 ; 5.559

d)

as our confidence interval contians all values above 0 ; whch gives 95% confidence that mean difference is positive and therefore we can reject null hypothesis and conclude that hypnotism appear t be effective in reducing pain