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Unformatted text preview: STAT 201 Recitation Worksheet: Sampling Distributions and Estimation 1. Sale prices of homes sold in Denver, Colorado during the year 2000 follow a skewed distribution with a mean of = $140,000 and a standard deviation of = $45,000. Suppose that we randomly select a sample of 40 homes that were sold in 2000. (a) What is the sampling distribution of , the sample mean sales price? Specifically, what is the shape, the mean, and the standard error? (b) What is the probability that exceeds $160,000? (c) If the sample size used were 20 rather than 40, would you still be able to work this problem? Why or why not? 2. Suppose that 40% of all Philadelphia voters believe that casino gambling should be legalized in the city. If we take a random sample of 60 voters, what is the probability that a majority of voters in the sample will believe that casino gambling should be legalized? (i.e. what is the probability that the sample proportion exceeds 0.50?) 3. Suppose that we wished to find an 80% confidence interval for a population mean, using results from a...
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