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(1 point) Here we consider the sleep habits of med students versus non-med students. The study consists of the hours of sleep per day obtained from 24 med students and 28 non-med students. The summarized data is given in the table. Here, 3': is the mean hours of sleep per day from each sample. The degrees of freedom (d.f.) that you must use in your calculations are given below. Student Type n 5: 32 s Med (x1) 24 5.6 0.8464 0.92 Non-Med(x2) 26 6.2 1.8225 1.35 degrees of freedom: d.f. = 48 Test the claim that the mean hours of sleep for med and non-med students is different. Use a 0.05 significance level. (a) Find the test statistic. (b) Find the P-value. (C) Is there sufficient data to support the claim? 0 Yes 0 No Test the claim that, on average, med students get less sleep than non-med students. Use a 0.05 significance level. (d) Is there sufficient data to support the claim? 0 Yes O No A publisher is interested in the effects on sales of college texts of expensive three-colour cover designs. The publisher is planning to bring out 20 texts in the business area and randomly chooses 10 of them to have expensive cover designs. The remaining 10 are produced with plain covers. For those with expensive cover designs, first-year sales averaged $ 9410 and the sample standard deviation was $ 1976. For the books with plain cover designs, first-year sales averaged $ 8767 and the sample standard deviation was $ 1583. Assuming that the two population distributions are normal with the same variance, test the null hypothesis that the population means are equal against the alternative that the true mean is higher for books with expensive cover designs. Use a 5% significance level. Answer the following, and round off your answer to three decimal places. (i) Find a pooled estimate of the population standard deviation. (ii) What is the test statistic used in the decision rule? (iii) What decision do you make? OA. Reject the null hypothesis. 0 B. Do not reject the null hypothesis