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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. Subject 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 21 9 10 7 11 10 11 8 4 8 10 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. 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 > 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 Find the value of the test statistic. T* = 51.50 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0234 x What is your conclusion? O 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. O Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.

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 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 21 9 10 7 11 10 11 8 4 8 10 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. 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 > 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 Find the value of the test statistic. T* = 51.50 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0234 x What is your conclusion? O 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. O Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Subject 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 21 9 10 7 10 11 8 8 11 9 4 10 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 a 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 > 0 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 = 0.0234 X What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. ● Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
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. Subject 1 2 3 4 5 6 7 8 9 10 Relaxant No Yes 15 10 13 21 9 10 7 10 11 8 8 11 9 4 10 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 a 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 > 0 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 = 0.0234 X What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. ● Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. O Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep.
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