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 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 10 21 9 11 7 8 10 11 10 8 4 10 6 15 11 9 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. # Ho: Median time without relaxant - Median time with relaxant ≤0 H₂: Median time without relaxant - Median time with relaxant > 0 O Ho: Median time without relaxant - Median time with relaxant = 0 H₂: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant > 0 H₂: Median time without relaxant - Median time with relaxant = 0 OH: Median time without relaxant - Median time with relaxant = 0 H₂: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant 20 H: Median time without relaxant - Median time with relaxant < 0 Find the value of the test statistic. T-52.38 x Find the p-value. (Round your answer to four decimal places.) p-value=0.0000 x

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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
1
2
3
4
5
6
7
8
9
10
Relaxant
No Yes
15 10
13 10
21 11
9
11
7
8
10
10
9
8
4
10
6
15 11
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.
Ho: Median time without relaxant - Median time with relaxant ≤ 0
H₂: Median time without relaxant - Median time with relaxant > 0
O Ho: Median time without relaxant - Median time with relaxant # 0
H₂: Median time without relaxant - Median time with relaxant = 0
O Ho: Median time without relaxant - Median time with relaxant > 0
H₂: Median time without relaxant - Median time with relaxant = 0
O Ho: Median time without relaxant - Median time with relaxant = 0
H₂: Median time without relaxant - Median time with relaxant # 0
O Ho: Median time without relaxant - Median time with relaxant 20
H₂: Median time without relaxant - Median time with relaxant < 0
Find the value of the test statistic.
T+ = 52.38
X
Find the p-value. (Round your answer to four decimal places.)
p-value=0.0000
X
Transcribed Image Text: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 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 10 21 11 9 11 7 8 10 10 9 8 4 10 6 15 11 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. Ho: Median time without relaxant - Median time with relaxant ≤ 0 H₂: Median time without relaxant - Median time with relaxant > 0 O Ho: Median time without relaxant - Median time with relaxant # 0 H₂: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant > 0 H₂: Median time without relaxant - Median time with relaxant = 0 O Ho: Median time without relaxant - Median time with relaxant = 0 H₂: Median time without relaxant - Median time with relaxant # 0 O Ho: Median time without relaxant - Median time with relaxant 20 H₂: Median time without relaxant - Median time with relaxant < 0 Find the value of the test statistic. T+ = 52.38 X Find the p-value. (Round your answer to four decimal places.) p-value=0.0000 X
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