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 8 11 10 10 7 4 8 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 OH: 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 H₂: Median time without relaxant - Median time with relaxant < 0 ✓ Find the value of the test statistic. T= 51.50 ✓ Find the p-value. (Round your answer to four decimal places.) p-value = 0.9929 x
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 8 11 10 10 7 4 8 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 OH: 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 H₂: Median time without relaxant - Median time with relaxant < 0 ✓ Find the value of the test statistic. T= 51.50 ✓ Find the p-value. (Round your answer to four decimal places.) p-value = 0.9929 x
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
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
9
11
7
8
10
11
9
10
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
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
H₂: Median time without relaxant - Median time with relaxant < 0
Find the value of the test statistic.
T = 51.50
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.9929
x
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Transcribed Image Text:Find the value of the test statistic.
T* = 51.50
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0071
X
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