According to the same NCAA data, the means and standard deviations of eligibility and retention rates (based on a 1,000-point scale) for the 2010-2011 academic year follow, along with the scores for two men's basketball teams, A and B. Assume that test scores are normally distributed.

a. On which criterion (eligibility or retention) did Team A do better, relative to the other teams? Calculate appropriate statistics to answer this question.
b. On which criterion (eligibility or retention) did Team B do better, relative to the other teams? Calculate appropriate statistics to answer this question.
c. What proportion of the teams have retention rates below the retention rate of Team B?
d. What is the percentile rank of Team As eligibility rate?

Mean 974.3 970.2 Standard Deviation 40.4 38.8 Team A 917 913 Team B 962 962 Eligibility Retention