Question

A study was conducted to measure the effectiveness of protism in reducing pain. The measurements we centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and mat the differences have a s ution that is proximately normal Construct a 95% confidence interval for the mean of the "before or afferences. Does hypnotism appear to be effective in reducing pain? Before her 68 Construct a contence in the mean of the before her offerences Does open to be the reducing pen A No become the confidence interval does not include and is only greater than 200 OB Yes, because the conceinterval does not include and is er g ethan zero OG Yes, because the concerterval includes zero. OD N because the confidence interval includes zero.

Answer 1

Given - n=8 di= yi-xi Xe before Y = After di -1.9 -1.5 0.9 di² 3.61 2.25 0.81 22.09 1-44 2.89 -4.7 1.2 1.7 - 2.2 1-3 4.84 1.69 Edi=-5.2 Edit = 39.62 a= Edi - 5-2 . d = -0.65 Sample variance = 64 na2 - 39.62- 8x (-0.65² 7 - 5. 1771 = -0.65 X . 6 = 2.2753 L - 0.05 0 951. C.I. (To-2412 6 4 Xd + 20 / 2 // )

Zoos - 1.96 - ( statistical table) 2 (-0.65-1-967 2:2762,-0-65+1.96x ) C-0.65-1.5767 -0.65+1.5767). (-2.2267, 0.9267) (- 2.23 10.93) 95% CI is . - 2.23< Ad < 0.931 3 © Yes, because the confidence -es zero. Interval includ!