could you please help to answer this question? thank you A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 levelof significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B.SubjectwithoutwithRelaxantRelaxant1151021210322124811109675781081079141110961111812129.a. What are the null and alternative hypotheses?Họ: Median time without Relaxant - Median time with Relaxant less than or equal to 0H.: Median time without Relaxant - Median time with Relaxant greater than 0b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)?Mean39Standard deviation12.75What is the value of the test statistic (to 2 decimals)?10.5What is the p-value for the hypothesis test (to 4 decimals)?0.0127

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 level
of significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B.
Subject
without
with
Relaxant
Relaxant
1
15
10
2
12
10
3
22
12
4
8
11
10
9
6
7
5
7
8
10
8
10
7
9
14
11
10
9
6
11
11
8
12
12
9.
a. What are the null and alternative hypotheses?
Họ: Median time without Relaxant - Median time with Relaxant less than or equal to 0
H.: Median time without Relaxant - Median time with Relaxant greater than 0
b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)?
Mean
39
Standard deviation
12.75
What is the value of the test statistic (to 2 decimals)?
10.5
What is the p-value for the hypothesis test (to 4 decimals)?
0.0127

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