Sampling distributions the following data represent the

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Reference no: EM13624905

Sampling Distributions The following data represent the running lengths (in minutes) of the winners of the Academy Award for Best Picture for the years 2004-2009.

2004: Million Dollar Baby	132
2005: Crash	112
2006: The Departed	151
2007: No Country for Old Men	122
2008: Slumdog Millionaire	120
2009: The Hurt Locker	131

(a) Compute the population mean.
(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 5 minutes of the population mean running time.

Reference no: EM13624905

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