3. [-/18 Points] DETAILS MY NOTES ASWSBE15 18.E.013. ASK YOUR TEACHER PRA You may need to use the appropriate appendix table or technology to answer this question. In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Subject Relaxant No Yes 1 16 10 2 13 10 3 21 11 4 7 12 5 10 9 6 8 5 7 8 9 8 11 6 9 13 10 10 8 7 Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. State the null and alternative hypotheses. O Ho: Median time without relaxant - Median time with relaxant + 0 H: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant ≥ 0 Ha: Median time without relaxant - Median time with relaxant < 0 Ho: Median time without relaxant - Median time with relaxant > 0 H: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant = 0 Ha: Median time without relaxant - Median time with relaxant # 0 O Ho: Median time without relaxant - Median time with relaxant ≤ 0 H: Median time without relaxant - Median time with relaxant > 0 Find the value of the test statistic. T+= Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3. [-/18 Points]
DETAILS
MY NOTES
ASWSBE15 18.E.013.
ASK YOUR TEACHER
PRA
You may need to use the appropriate appendix table or technology to answer this question.
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.
A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow.
Subject
Relaxant
No Yes
1
16 10
2
13
10
3
21
11
4
7
12
5
10
9
6
8
5
7
8
9
8
11
6
9
13 10
10
8 7
Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep.
State the null and alternative hypotheses.
O Ho: Median time without relaxant - Median time with relaxant + 0
H: Median time without relaxant - Median time with relaxant = 0
O Ho: Median time without relaxant - Median time with relaxant ≥ 0
Ha: Median time without relaxant - Median time with relaxant < 0
Ho: Median time without relaxant - Median time with relaxant > 0
H: Median time without relaxant - Median time with relaxant = 0
O Ho: Median time without relaxant - Median time with relaxant = 0
Ha: Median time without relaxant - Median time with relaxant # 0
O Ho: Median time without relaxant - Median time with relaxant ≤ 0
H: Median time without relaxant - Median time with relaxant > 0
Find the value of the test statistic.
T+=
Find the p-value. (Round your answer to four decimal places.)
p-value=
What is your conclusion?
O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
O Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
Transcribed Image Text:3. [-/18 Points] DETAILS MY NOTES ASWSBE15 18.E.013. ASK YOUR TEACHER PRA You may need to use the appropriate appendix table or technology to answer this question. In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Subject Relaxant No Yes 1 16 10 2 13 10 3 21 11 4 7 12 5 10 9 6 8 5 7 8 9 8 11 6 9 13 10 10 8 7 Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. State the null and alternative hypotheses. O Ho: Median time without relaxant - Median time with relaxant + 0 H: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant ≥ 0 Ha: Median time without relaxant - Median time with relaxant < 0 Ho: Median time without relaxant - Median time with relaxant > 0 H: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant = 0 Ha: Median time without relaxant - Median time with relaxant # 0 O Ho: Median time without relaxant - Median time with relaxant ≤ 0 H: Median time without relaxant - Median time with relaxant > 0 Find the value of the test statistic. T+= Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
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