(a) In this part of the question, you should calculate the required confidence interval by hand, using tables, and showyour working. (You may use Minitab to check your answers, if you wish.)Modern aircraft cockpit windscreens arecomplex items, comprising several layers of material and a heating system. Such windscreens are replaced upondamage to any of their components. A dataset wascollected on the times to replacement of n = 84 windscreens ofaparticular modern airliner. The sample mean windscreen replacement time was 23515 hours of flight. The samplestandard deviation of windscreen replacement times was 5168 hours of flight.Obtain an approximate 90% confidenceinterval for the mean replacement time of this type of aircraft windscreen. What property of the dataset justifies usingthis type of confidence interval, and why?(1) Interpret the particular confidence interval that you found in part (a)i) interms of repeated experiments.page 4 of 5ing elect[2][6)[3)(b) In this part of the question, you should calculate therequired confidence interval by hand, using tables, and show your working. (You may use Minitab to check your answers,if you wish.)In a large study of patients who were being treated for hypertension (high blood pressure), 148 out of 5493patients receiving the conventional treatment for hypertension later suffered a stroke. Also,192 out of 5492 patientsreceiving an alternative drug to treat their hypertension later suffered a stroke. (i)Obtain an approximate 95% confidenceinterval for the difference in proportions between the number of conventionally treated hypertension patients who latersuffered a stroke and the number of hypertension patients treated with the alternative drug who later suffered a stroke. (You are advised to work with proportions rounded to four decimal places throughout; also, you may assume that thenumbers involved are large enough that your approximation is a good one.)(ii) Some clinicians had suggested that theproportions of hypertension patients who suffered a stroke would not depend on which treatment they were beinggiven. Are the data consistent with that suggestion? Justify your answer briefly.
(a) In this part of the question, you should calculate the required confidence interval by hand, using tables, and showyour working. (You may use Minitab to check your answers, if you wish.)Modern aircraft cockpit windscreens arecomplex items, comprising several layers of material and a heating system. Such windscreens are replaced upondamage to any of their components. A dataset wascollected on the times to replacement of n = 84 windscreens ofaparticular modern airliner. The sample mean windscreen replacement time was 23515 hours of flight. The samplestandard deviation of windscreen replacement times was 5168 hours of flight.Obtain an approximate 90% confidenceinterval for the mean replacement time of this type of aircraft windscreen. What property of the dataset justifies usingthis type of confidence interval, and why?(1) Interpret the particular confidence interval that you found in part (a)i) interms of repeated experiments.page 4 of 5ing elect[2][6)[3)(b) In this part of the question, you should calculate therequired confidence interval by hand, using tables, and show your working. (You may use Minitab to check your answers,if you wish.)In a large study of patients who were being treated for hypertension (high blood pressure), 148 out of 5493patients receiving the conventional treatment for hypertension later suffered a stroke. Also,192 out of 5492 patientsreceiving an alternative drug to treat their hypertension later suffered a stroke. (i)Obtain an approximate 95% confidenceinterval for the difference in proportions between the number of conventionally treated hypertension patients who latersuffered a stroke and the number of hypertension patients treated with the alternative drug who later suffered a stroke. (You are advised to work with proportions rounded to four decimal places throughout; also, you may assume that thenumbers involved are large enough that your approximation is a good one.)(ii) Some clinicians had suggested that theproportions of hypertension patients who suffered a stroke would not depend on which treatment they were beinggiven. Are the data consistent with that suggestion? Justify your answer briefly.
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