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On the Average It Takes 27 Throws to Complete the College

Question 130

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On the average it takes 27 throws to complete the College Frisbee Golf Course. The standard deviation about this mean is 4.
a. What proportion of the population would be expected to score 22 or less (par)?
b. What proportion would score between 25 and 30?
c. If 950 students played and a prize was given to those who scored 20 or less, how many would get prizes?
d. Suppose an experimenter wanted to find some very good and some very poor frisbee players to use in an experiment. She decided to use the top 10 percent and the bottom 10 percent from the CFGC. What are the cut-off scores?
e. What proportion would be expected to score between 28 and 32?
f. What assumption is being made about the nature of the distribution of frisbee golf scores in the questions above?

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