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 5.0 6.8 6.3 2.5 10.0 7.6 8.2 8.9 10.9 8.1 6.9 6.1

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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
5.0
6.8
6.3
2.5
<Hd <
10.0
7.6
8.2
8.9
10.9
8.1
(Round to two decimal places as needed.)
Does hypnotism appear to be effective in reducing pain?
6.9
6.1
Construct a 95% confidence interval for the mean of the "before - after" differences.
8.0
3.3
7.5
2.6
A. No, because the confidence interval does not include zero and is entirely greater
than zero.
B. No, because the confidence interval includes zero.
C. Yes, because the confidence interval includes zero.
D. Yes, because the confidence interval does not include zero and is entirely greater
than zero.
Transcribed Image Text: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 5.0 6.8 6.3 2.5 <Hd < 10.0 7.6 8.2 8.9 10.9 8.1 (Round to two decimal places as needed.) Does hypnotism appear to be effective in reducing pain? 6.9 6.1 Construct a 95% confidence interval for the mean of the "before - after" differences. 8.0 3.3 7.5 2.6 A. No, because the confidence interval does not include zero and is entirely greater than zero. B. No, because the confidence interval includes zero. C. Yes, because the confidence interval includes zero. D. Yes, because the confidence interval does not include zero and is entirely greater than zero.
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