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A study was carried out with a random sample of 10 patients who suffer from insomnia to investigate the effectiveness of a drug designed to increase sleep time. The given data show the number of additional hours of sleep per night gained by each subject after taking the drug. A negative value indicates that the subject got less sleep after taking the drug. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 What of the following is NOT true regarding the significance test at the a = 0.01 significance level that the average sleep increase is positive for insomnia patients when taking this drug? The test statistic is t = 3.68 and the P-value is 0.00254. Because the P-value of 0.00254 < a = 0.01, we reject Ho There is proof that the drug is effective at increasing the average sleep time for patients who suffer from insomnia. The Normal/Large Sample condition is satisfied even though the sample size is small. The hypotheses are Ho : µ = 0, Ha : µ > 0, where µ = the true mean number of additional hours of sleep per night gained by using the drug for all people who would take it. %3D

A study was carried out with a random sample of 10 patients who suffer from insomnia to investigate the effectiveness of a drug designed to increase sleep time. The given data show the number of additional hours of sleep per night gained by each subject after taking the drug. A negative value indicates that the subject got less sleep after taking the drug. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 What of the following is NOT true regarding the significance test at the a = 0.01 significance level that the average sleep increase is positive for insomnia patients when taking this drug? The test statistic is t = 3.68 and the P-value is 0.00254. Because the P-value of 0.00254 < a = 0.01, we reject Ho There is proof that the drug is effective at increasing the average sleep time for patients who suffer from insomnia. The Normal/Large Sample condition is satisfied even though the sample size is small. The hypotheses are Ho : µ = 0, Ha : µ > 0, where µ = the true mean number of additional hours of sleep per night gained by using the drug for all people who would take it. %3D

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
Section10.6: Summarizing Categorical Data
Problem 42PFA
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A study was carried out with a random sample of 10 patients who suffer from insomnia to investigate the effectiveness of a drug designed to increase sleep time. The given data show the number of additional hours of sleep per night gained by each subject after taking the drug. A negative value indicates that the subject got less sleep after taking the drug. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 What of the following is NOT true regarding the significance test at the a = 0.01 significance level that the average sleep increase is positive for insomnia patients when taking this drug? The test statistic is t = 3.68 and the P-value is 0.00254. Because the P-value of 0.00254 < a = 0.01, we reject Ho There is proof that the drug is effective at increasing the average sleep time for patients who suffer from insomnia. The Normal/Large Sample condition is satisfied even though the sample size is small. The hypotheses are Ho : µ = 0, H. : µ > 0, where u = the true mean number of additional hours of sleep per night gained by using the drug for all people who would take it.
Transcribed Image Text:A study was carried out with a random sample of 10 patients who suffer from insomnia to investigate the effectiveness of a drug designed to increase sleep time. The given data show the number of additional hours of sleep per night gained by each subject after taking the drug. A negative value indicates that the subject got less sleep after taking the drug. 1.9 0.8 1.1 0.1 -0.1 4.4 5.5 1.6 4.6 3.4 What of the following is NOT true regarding the significance test at the a = 0.01 significance level that the average sleep increase is positive for insomnia patients when taking this drug? The test statistic is t = 3.68 and the P-value is 0.00254. Because the P-value of 0.00254 < a = 0.01, we reject Ho There is proof that the drug is effective at increasing the average sleep time for patients who suffer from insomnia. The Normal/Large Sample condition is satisfied even though the sample size is small. The hypotheses are Ho : µ = 0, H. : µ > 0, where u = the true mean number of additional hours of sleep per night gained by using the drug for all people who would take it.
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