SOLUTION: A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results of randomly selected patients are shown in the table below. A lower score indicates le

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Question 1157128: A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results of randomly selected patients are shown in the table below. A lower score indicates less pain. Can we conclude that the hypnotism is effective in reducing the pain?
Patient
1
2
3
4
5
6
7
8
Before hypnotism
6.6
6.5
9.0
10.3
11.3
8.1
6.3
11.6
After hypnotism
6.8
2.4
7.4
8.5
8.1
6.1
3.4
2.0

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a paired t-test looking at the differences with the null hypothesis difference of 0 or negative, and alternative hypothesis being difference positive (defining difference as before-after)
x bar is 3.125
s is 2.91
n=8 df=7
critical value if alpha is 0.05 for a right tail test is t>1.895
t=(x bar-mean)/s/sqrt(n)
=3.125*sqrt(8)/2.91=3.04
p=0.009
Conclude that hypnotism is effective in alleviating the pain.