C11. The National Collegiate Athletic Association has a public access database on each Division I sports team in the United States, which contains data on team-level Academic Progress Rates (APRs), eligibility rates, and retention rates. The APR score combines team rates for academic eligibility and retention. The mean APR of all reporting men’s and women’s teams for the 2013–2014 academic year was 981 (based on a 1,000-point scale), with a standard deviation of 27.3. Assuming that the distribution of APRs for the teams is approximately normal:

1. Would a team be at the upper quartile (the top 25%) of the APR distribution with an APR score of 990?

2. What APR score should a team have to be more successful than 75% of all the teams?

3. What is the Z value for this score?