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.
Module 16 HW (15 Points)
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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