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[answered] BMRT 21004 Module 16 HW (15 Points) 3 Pages HW Problem 43.

**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. 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. HW Problem 45. (5 pts) A US Department of Education official is curious about

SAT score performance for students attending certain high schools. Specifically, he

wants to estimate the difference in score performance between a well-known

private school, The Brewster Academy, and John F. Kennedy High School, a large

urban public school. 18 SAT scores from Brewster are randomly sampled resulting

in a sample mean SAT score of 1800 with s sample standard deviation of 100. 20

SAT scores are randomly sampled from JFK resulting in a sample mean SAT score

of 1590 with a sample standard deviation of 70. Using this data, construct a 99%

confidence interval to estimate the difference in mean SAT score performance

between the two high schools. Round to four quality decimal places and clearly

interpret your confidence interval in the context of the question being asked.

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