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Sampling Distributions The following data represent the ages of the winners of the Academy Award for Best Actor for the years 2004-2009.
2004: Jamie Foxx
37
2005: Philip Seymour Hoffman
38
2006: Forest Whitaker
45
2007: Daniel Day-Lewis
50
2008: Sean Penn
48
2009: Jeff Bridges
60
(a) Compute the population mean, m.
(b) List all possible samples with size n = 2. There should be 6C2 = 15 samples.
(c) Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities.
(d) Compute the mean of the sampling distribution.
(e) Compute the probability that the sample mean is within 3 years of the population mean age.
(f) Repeat parts (b)-(e) using samples of size n = 3. Comment on the effect of increasing the sample size.
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
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