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 5.9 4.2 8.1 7.4 9.6 10.0 7.3 2.0 After 6.7 2.8 7.5 8.2 8.3 6.9 3.2 2.5 Construct a 95% confidence interval for the mean of the "before−after" differences. _____________ < μd < _____________ (Round to two decimal places as needed.) Does hypnotism appear to be effective in reducing pain? A. No, because the confidence interval includes zero. B. No, because the confidence interval does not include and is entirely greater than zero. C. Yes, because the confidence interval does not include and is entirely greater than zero. D. Yes, because the confidence interval includes zero.
Question #2
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
|
5.9
|
4.2
|
8.1
|
7.4
|
9.6
|
10.0
|
7.3
|
2.0
|
|---|---|---|---|---|---|---|---|---|
|
After
|
6.7
|
2.8
|
7.5
|
8.2
|
8.3
|
6.9
|
3.2
|
2.5
|
Construct a 95% confidence interval for the mean of the "before−after" differences.
_____________ < μd < _____________
(Round to two decimal places as needed.)
Does hypnotism appear to be effective in reducing pain?
A. No, because the confidence interval includes zero.
B. No, because the confidence interval does not include and is entirely greater than zero.
C. Yes, because the confidence interval does not include and is entirely greater than zero.
D. Yes, because the confidence interval includes zero.
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