The following data represent the running lengths (in minutes) of the winners of the Academy Award for

Question:

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, µ.

(b) List all possible samples with size n = 2. There should be 6C2 = 15 samples.

(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.

(f ) Repeat parts (b)–(e) using samples of size n = 3. Comment on the effect of increasing the sample size.

Distribution
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