The drug Diflunial is used to treat arthritis pain, and was recently examined in a study of its effects on glaucoma. Ten patients took part in the study and for each patient, the change in intraocular pressure was measured in mmHg. For these 10 patients the sample average change was -1.6 mmHg, with a sample standard deviation of 1.5 mmHg.A) using a two sided hypothesis test, access the evidence that for the claim that this drug changes intraocular pressure on the eye. Be sure that all the steps in testing are clearly indicated in your solution. Use a significance level of alpha=0.05*use these table values t0.025;9=2.2622, t0.025;10=2.2281, t0.025;23=2.0687, and t0.025; 24=2.0639B) Calculate a 95% confidence interval for the change in pressure. Interpret this interval C)Suppose the company that makes this has decided to replicate the study in that problem, but wishes to have 90% power to reject the null hypothesis of no effect on the intraocular pressure when in fact the true change in pressure is as small as 1mmHg. How many participants should be enrolled in the study? You may assume that the resulting test will be two-sided and will use alpha=0.05. The company will assume that the estimated standard deviation given above is the population standard deviation D) using your estimated sample size (IF YOU DO NOT HAVE AN ANSWER FROM PREVIOUS PART USE 24 AS THE SAMPLE SIZE), calculate the estimated half width of a 95% confidence interval for the mean difference in intraocular pressure that will be computed when this replicated study is completed.

6. (15 Points Total) The drug diffunisal is used to treat arthritis pain, and was recently examined in a study of its effect on glaucoma. Ten patients took part in the study, and, for each patient, the change in intraocular pressure (after - before drug administration) was measured in mmig. For these 10 patients the sample average change was -1.6 mmlg, with an sample standard deviation of 1.5 mmlg.! a (4 Points) Using a two-sided hypothesis test, assess the evidence for the claim that this drug changes intraocular pressure on the eye. Be sure that all the steps in testing are clearly indicated in your solution. Use a significance level of 0 = 0.05. Some of the table values are: foams = 2.2622, tams:10 = 2 2281, tamscas = 2.0687, and femsat = 2.0633. b. (4 Points) Calculate a 95% confidence interval for the change in pressure. Inter- pret this interval c. (4 Points) Suppose the company that makes diffunisal has decided to replicate the study in that problem, but wishes to have 90% power to reject the null hypothesis of no diflusinal effect on intraocular pressure if in fact the true change in pressure is as small as 1 mmHg. How many participants should be enrolled in the study? You may assume that the resulting test will be two-sided and will use a = 0.05. The company will assume that the estimated standard deviation given above is the population standard deviation. d. (3 Points) Using your estimated sample size (if you do not have an answer from previous part, use 24 as the sample size), calculate the estimated half-width of a 95% confidence interval for the mean difference in intraocular pressure that will be computed when this replicated study is completed