MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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Subject
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A
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B
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C
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D
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E
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F
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G
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H
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|
Before
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6.6
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6.5
|
9.0
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10.3
|
11.3
|
8.1
|
|
6.3
|
11.6
|
|||||||
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After
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6.8
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2.4
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7.4
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8.5
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8.1
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6.1
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3.4
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2.0
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a. Define the parameter
A.
mu Subscript d Baseline equals
B.
mu equals
C.
mu Subscript d Baseline equals
D.
mu Subscript d Baseline equals
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 Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0
D.
Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0
c. Calculate the P-value. Which of these options is closest to its value?
A.
negative 0.009
B.
0.009
C.
0.323
D.
0.095
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 sufficient evidence to warrant rejection of the claim.
B.
The sample data support the claim.
C.
There is not sufficient sample evidence to support the claim.
D.
There is not sufficient evidence to warrant rejection of the claim.
f. Does hypotism appear to be effective in reducing pain?
A.
No
B.
Yes
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