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Question:
Assume that we are estimating 2 different basketball players'' free throw shooting accuracy. The first basketball player is on a collegiate team and plays the sport almost daily year round. After watching that player shoot, we estimate that she will make 85% (.85) of her free throws. The second player, a doofus college professor with little athletic ability, is similarly observed and his free throw average is estimated at 15%. How many free throws must the first player make in a row before you can confidently reject the following null hypothesis:
Ha: The player''s free throw percentage was incorrectly estimated
Ho: The player''s free throw percentage was not incorrectly estimated
How many free throws must the second player make in a row in order to confidently reject the same null hypothesis? Use the 95% level of confidence for both players.
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According to the U.S National Center for Health Statistics, the mean height for adult American males is mu = 65.5 inches. Assume the heights are normally distributed with standard deviation of sigma = 3.2.
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What is the probability that the variable will take the value 2? What is the mean of the distribution?
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