Shooting free throws. Since the mid-1960s, the overall

Chapter , Problem 5.64

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Shooting free throws. Since the mid-1960s, the overall free-throw percent at all college levels, for both men and women, has remained pretty consistent. For men, players have been successful on roughly 69% of their free throws, with the season percent never falling below 67% or above 70%.20 Assume that 300,000 free throws will be attempted in the upcoming season. (a) What are the mean and standard deviation of p if the population proportion is p 0.69? (b) Using the 689599.7 rule, we expect p to fall between what two percents about 95% of the time? (c) Given the width of the interval in part (b) and the range of season percents, do you think that it is reasonable to assume that the population proportion has been the same over the last 50 seasons? Explain your answer.(b) If the population proportion for all students nationwideis 85%, what is the standard deviation of p ?(c) Using the 689599.7 rule, if you had drawn anSRS from the United States, you would expect p to fallbetween what two percents about 95% of the time?(d) Based on your result in part (a), do you think thatthe incoming students at your institution prefer this typeof instruction more, less, or about the same as studentsnationally? Explain your answer.

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