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Consider researching the maximum distance that prospective professional quarterbacks can throw a football. Suppose that 41...

Consider researching the maximum distance that prospective professional quarterbacks can throw a football.  Suppose that 41 NFL draft prospect quarterbacks were asked to throw a football as far as they could.  For this sample, the mean distance was 68.9 yards and the sample standard deviation was 5.2 yards.  Find a 90% confidence interval for the true mean maximum distance that the population of NFL prospect quarterbacks can throw a ball.  Also, find a 90% confidence interval for the true population standard deviation of distances.  Suppose professional blowhard Skip Bayless claimed the true mean distance was less than 70 yards.  Use a hypothesis test (with significance level 0.05) to determine whether we can conclude that Bayless's claim is accurate, based on these data. 

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Consider researching the maximum distance that prospective professional quarterbacks can throw a football. Suppose that 41...
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