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(a)

Required information A random sample of 400 electronic components manufactured by a certain process are tested. and 30 are found to be defective. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% condence interval for p. Round the answers to four decimal places. The 95% confidence interval is( 0.053 0, I 0.105 e). An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.46 mm with a standard deviation of 0.090 mm. Find a 90% condence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places. The 90% confidence interval is ( |:| , |:| ). In experiments to determine the effectiveness of drugs such as anti-fungal ointments that are applied to the skin, the concentration of the drug in a patient's skin must be measured. An article describes an improved method of measuring that is designed to ensure that all the drug in the skin is recovered. Assume that in an experiment using the old method, the mean amount of drug recovered from a sample of 49 patients was 111 ng with a standard deviation of 20 ng. and that in an experiment using the new method the mean amount of drug recovered in a sample of 35 patients was 125 ng with a standard deviation of15 ng. Let \"X represent the population mean for the new method and let MY represent the population mean for the old method. Find a 98% condence interval for the difference MX MY . Round the answers to three decimal places. The 98% confidence interval is ( |:| , |:| )