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. Relaxant Subject No Yes 1 14 14 9 2 13 10 3 23 12 4. 6 10 5 9 8 16 8 5 7 00 8 10 8 11 7 9 13 11 10 8 6 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 Ha : Median time without relaxant - Median time with relaxant > 0 O Ho: Median time without relaxant - Median time with relaxant H : Median time without relaxant O Ho: Median time without relaxant - = 0 Median time with relaxant #0 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 20 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 Find the value of the test statistic. T=46 Find the p-value. (Round your answer to four decimal places.) p-value=0.1055 X What is your conclusies2

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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.
Relaxant
Subject
No
Yes
1
14
14
9
2
13
10
3
23
12
4.
6
10
5
9
8
16
8
5
7
00
8
10
8
11
7
9
13
11
10
8
6
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
Ha
: Median time without relaxant - Median time with relaxant > 0
O Ho: Median time without relaxant - Median time with relaxant
H
: Median time without relaxant
O Ho: Median time without relaxant
-
= 0
Median time with relaxant #0
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 20
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
Find the value of the test statistic.
T=46
Find the p-value. (Round your answer to four decimal places.)
p-value=0.1055
X
What is your conclusies2
Transcribed Image Text: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. Relaxant Subject No Yes 1 14 14 9 2 13 10 3 23 12 4. 6 10 5 9 8 16 8 5 7 00 8 10 8 11 7 9 13 11 10 8 6 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 Ha : Median time without relaxant - Median time with relaxant > 0 O Ho: Median time without relaxant - Median time with relaxant H : Median time without relaxant O Ho: Median time without relaxant - = 0 Median time with relaxant #0 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 20 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 Find the value of the test statistic. T=46 Find the p-value. (Round your answer to four decimal places.) p-value=0.1055 X What is your conclusies2
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