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
μ
= $140,000 and a standard deviation of
σ
= $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
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 Spring '04
 DREX
 Statistics, Normal Distribution, Standard Deviation, Honda Odyssey

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