A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given below. The values are before and after hypnosis; the measurements are in centimeters on a pain scale (higher measurements mean more pain). Use a 0.05 significance level to test the claim that in the population of all people with pain given hypnosis, the mean difference in the sensory measurements is greater than 0. Subject A B C D E F G H Before 6.6 6.5 9.0 10.3 11.3 7.0 6.3 11.6 After 6.8 2.4 7.4 8.5 8.1 6.1 3.4 2.0 a. Define the parameter A. mu Subscript d Baseline equals Mean of (Before - After) B. mu Subscript d Baseline equals Mean measurement before C. mu equals Mean measurement D. mu Subscript d Baseline equals Mean measurement after b. State the null and alternative hypotheses A. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline greater than 0 B. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline less than 0 C. Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0 D. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0 c. Calculate the P-value. Which of these options is closest to its value? A. negative 0.005 B. 0.013 C. 0.099 D. 0.327 d. State the technical conclusion A. Do not reject Upper H 0 B. Reject Upper H 0 e. State the final conclusion A. There is not sufficient evidence to warrant rejection of the claim. B. There is sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. The sample data support the claim. f. Does hypotism appear to be effective in reducing pain? Y or N

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Description: A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given below. The values are before and after hypnosis; the measurements are in centimeters on a pain scale (higher meas

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given below. The values are before and after hypnosis; the measurements are in centimeters on a pain scale (higher measurements mean more pain). Use a 0.05 significance level to test the claim that in the population of all people with pain given hypnosis, the mean difference in the sensory measurements is greater than 0.

Subject	A	B	C	D	E	F	G	H
Before	6.6	6.5	9.0	10.3	11.3	7.0

6.3	11.6
After	6.8	2.4	7.4	8.5	8.1	6.1	3.4	2.0

a. Define the parameter

mu Subscript d Baseline equals

Mean of (Before - After)

mu Subscript d Baseline equals

Mean measurement before

mu equals

Mean measurement

mu Subscript d Baseline equals

Mean measurement after

b. State the null and alternative hypotheses

Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline greater than 0

Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline less than 0

Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0

Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0

c. Calculate the P-value. Which of these options is closest to its value?

negative 0.005

0.013

0.099

0.327

d. State the technical conclusion

Do not reject Upper H 0

Reject Upper H 0

e. State the final conclusion

There is not sufficient evidence to warrant rejection of the claim.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

The sample data support the claim.

f. Does hypotism appear to be effective in reducing pain?

Y or N

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