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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
55.  If you go to a major league baseball game, how long do you expect the game to be? From the 2429 games played in 2001, here is a random sample of 25 times in minutes:
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352Â 150Â 164Â Â 167Â Â 225Â 159Â 142Â 182Â Â 229Â Â 163
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|
188 |
197 |
189 |
235 |
161Â 195Â 177Â 166Â Â 195 Â 160 |
|
154 |
130 |
189 |
188 |
225 |
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This is one of those rare instances in which we can do a con dence interval and compare with the true population mean. The mean of all 2429 lengths   is
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178.29 (almost three hours).
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a.  Compute the t-based con dence interval of Section 8.3.
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b.  Use a normal plot to see if part (a) is valid.
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c.   Generate a bootstrap sample of 1000 means.
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d.  Use the standard deviation for part (c) to get a 95% con dence interval for the population mean.
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e.   Investigate the distribution of the bootstrap means to see if part (d) is valid.
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f.   Use part (c) to form the 95% con dence interval using the percentile method.
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g.  Say which interval should be used and explain why. Does your interval include the true value, 178.29?
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