In 1908, W.S. Gossett performed a sleep study on 10 subjects, comparing the number of hours of sleep obtained by each subject with and without (in that order) the application of the drug hyoscyamine....

Extracted text: In 1908, W.S. Gossett performed a sleep study on 10 subjects, comparing the number of hours of sleep obtained by each subject with and without (in that order) the application of the drug hyoscyamine. The paired differences d were as follows: 1.0, 0.8, 1.1, 0.1, - 0.1, 4.4, 1.5, 1.6, 4.6, 3.4 At the 1% significance level, is the drug effective in increasing sleep? Carry out the paired t-test for two population means. Your answer should include the following five items: a) The value of the sample mean of the paired differences d, and the sample standard deviation sa b) a statement of the hypotheses c) The critical value of the test. d) The value of the test statistic, and e) a statement of conclusion.