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BMRT 21004 Module 16 HW (15 Points) 3 Pages HW Problem 43. (5 pts) A tech firm wants to estimate the difference in the proportion of Stanford...
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YOU MUST CLEARLY INTERPRET YOUR CONFIDENCE INTERVAL IN THE CONTEXT OF THE QUESTION BEING ASKED

This homework assignment is due by Thursday December 1, 2016 at 11:59 PM.

BMRT 21004 Module 16 HW (15 Points) 3 Pages HW Problem 43. (5 pts) A tech firm wants to estimate the difference in the proportion of Stanford students who prefer Android phones over iPhones to the proportion of Caltech students who prefer Android phones to iPhones. The firm randomly sampled 300 Stanford students and 46% said they preferred Android to iPhone. In a random sample of 320 Caltech students, 55% preferred Android phones to iPhones. Use this information to construct a 95% confidence interval to estimate the difference between the proportion of Stanford students who prefer Android phones over iPhones to the proportion of Caltech students who prefer Android phones to iPhones. Round to four quality decimal places and clearly interpret your confidence interval in the context of the question being asked.
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HW Problem 44. (5 pts) A state housing official wants to estimate the difference in the square footage of homes in two different neighborhoods in a large metropolitan area. A random sample of 58 homes the exurban Greenbriar neighborhood resulted in a sample mean size of 2530 square feet with a standard deviation of 90 square feet. A random sample of 65 homes in the suburban Burlington neighborhood yielded a sample mean home size of 2280 square feet with a sample standard deviation of 100 square feet. Use this information to construct a 98% confidence interval for the difference in average home size between the two neighborhoods. Round to four quality decimal places and clearly interpret your confidence interval in the context of the question being asked.
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