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...

Extracted 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.