The National Collegiate Athletic Association has a public access database on eachDivision I sports team in the United States, which contains data on team-level AcademicProgress Rates (APRs), eligibility rates, and retention rates. The APR score combines teamrates for academic eligibility and retention. The mean APR of randomly selected200teamsfor the2013-2014 academic year was 922(based on a1,000-point scale), with a standard deviation of 24.3. Assuming that the distribution of APRs for the teams isapproximatelynormal: a) Would a team be at the upper quartile (the top25%) of the APR distribution with anAPR score of990? b) What APR score should a team have to be more successful than 75% of all the teams? c) Construct and interpret an estimate of the population at the 95% level.

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