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A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 leve of significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B. Subject Without with Relaxant Relaxant 1 15 10 12 10 22 12 4 8 11 5 10 6 7 5 8 10 10 7 14 11 10 9 6 11 11 12 12 9. a. What are the null and alternative hypotheses? Họ: Median time without Relaxant - Median time with Relaxant equal to 0 H3: Median time without Relaxant - Median time with Relaxant greater than 0 b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)? Mean 2.5 Standard deviation 3.2613 What is the value of the test statistic (to 2 decimals)? 2.66 8 What is the p-value for the hypothesis test (to 4 decimals)? 0.0112 8 What is your conclusion? Conclude that the relaxant reduces the time to fall asleep

A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 leve of significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B. Subject Without with Relaxant Relaxant 1 15 10 12 10 22 12 4 8 11 5 10 6 7 5 8 10 10 7 14 11 10 9 6 11 11 12 12 9. a. What are the null and alternative hypotheses? Họ: Median time without Relaxant - Median time with Relaxant equal to 0 H3: Median time without Relaxant - Median time with Relaxant greater than 0 b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)? Mean 2.5 Standard deviation 3.2613 What is the value of the test statistic (to 2 decimals)? 2.66 8 What is the p-value for the hypothesis test (to 4 decimals)? 0.0112 8 What is your conclusion? Conclude that the relaxant reduces the time to fall asleep

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B. Subject without with Relaxant Relaxant 1 15 10 12 10 3 22 12 4 8 11 5 10 9 6 7 7 8 10 8 10 7 14 11 10 9 11 11 8 12 12 9. a. What are the null and alternative hypotheses? Họ: Median time without Relaxant - Median time with Relaxant equal to 0 Hạ: Median time without Relaxant - Median time with Relaxant greater than 0 b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)? Mean 2.5 Standard deviation 3.2613 What is the value of the test statistic (to 2 decimals)? 2.66 What is the p-value for the hypothesis test (to 4 decimals)? 0.0112 What is your conclusion? Conclude that the relaxant reduces the time to fall asleep
Transcribed Image Text:A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Data for 12 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Use a .05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. Use Table 1 of Appendix B. Subject without with Relaxant Relaxant 1 15 10 12 10 3 22 12 4 8 11 5 10 9 6 7 7 8 10 8 10 7 14 11 10 9 11 11 8 12 12 9. a. What are the null and alternative hypotheses? Họ: Median time without Relaxant - Median time with Relaxant equal to 0 Hạ: Median time without Relaxant - Median time with Relaxant greater than 0 b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)? Mean 2.5 Standard deviation 3.2613 What is the value of the test statistic (to 2 decimals)? 2.66 What is the p-value for the hypothesis test (to 4 decimals)? 0.0112 What is your conclusion? Conclude that the relaxant reduces the time to fall asleep
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