hw4 - PADP 8120 Fertig Homework 4 Due Spring 2011 UGA 1...

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Unformatted text preview: PADP 8120 Fertig Homework 4 Due February 22, 2011 Spring 2011 UGA 1. According to data on older adults from the United States, the distribution of Y=total number of children has a mean of 2.9 and a standard deviation of 2.0. a. Is Y normally distributed? Explain. b. Assuming that this mean and standard deviation were for a random sample of 100 people, calculate the standard error of the sampling distribution of Ybar. c. Based on the information in part b, report the 95% confidence interval for the mean. 2. A city council votes to appropriate funds for a new civic auditorium. The mayor of the city threatens to veto this decision unless it can be shown that a majority of citizens would use it at least twice a year. The council commissions a poll of city residents. For a random sample of 400 residents, 230 say they would use the facility at least twice a year. a. Find a 95% confidence interval for the proportion of all resients of the town who would say they would use the proposed auditorium at least twice a year. Interpret the interval. b. Perform a significance test that would help the mayor make her decision and interpret your z- and p-values. c. Compare and contrast the information you obtained in parts a. and b. d. What would you advise the mayor to do? 1 ...
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