An efficiency manager is evaluating the quality of sportswear manufactured by two brands - A and B. She wishes to test whether the difference between the mean number of faulty pleces supplied by the brands in each of their consignments is zero or not. For this, the manager collects data from the two brands. Suppose that the mean number of faulty pieces supplied by the brands are independent of each other. Let n donote the number of consignments for which the data was collected, X denote the sample mean of the number of faulty pieces supplied per consignment by each brand, and S denote the sample standard deviation in the number of faulty pieces supplied per consignment by each brand. The given table shows the data collected Brand 120 95 15 21 10.11 112 14.1 The manager's null hypothesis would be that the difference between the mean number of faulty pieces supplied per consignment by brands A and B is The manager's alternative hypothesis would be that the difference between the mean number of faulty pieces supplied per consignment by brands A and B is The standard error of the difference between the sample means is: (Round your answer to two decimal places.)

A35-year-old woman comes to the ed complaining of chest pressure. she has had such episodes intermittently over the last 5 years, usually when sleeping, but over the last year she has had more frequent severe symptoms that are occasionally associated with severe migraine headaches. the pain is midsternal and is described as pressure that extends as a band around her chest. the ed physician is initially dubious that the pain is cardiac in origin, because the woman has no coronary disease risk factors. an ecg, however, shows 2mm st-segment elevation and inverted t waves in leads v1 through v5 and 1mm st-segment depression in leads ii, iii, and avf. before the cardiologist arrives in the ed, the patient's ecg has returned to normal. this repeat normal ecg is obtained after the administration of aspirin, nitroglycerin, morphine, and oxygen. which of the following is most likely for these findings? - diffuse intimal thickening with focal areas of atherosclerotic narrowing - intermittent thrombus formation and lysis in the left anterior descending artery - intermittent thrombus formation and lysis in the right coronary artery - plaque rupture and thrombus formation in the left anterior descending artery - transiently increased coronary vascular tone in the right coronary artery