According to the same national collegiate athletic

Question

According to the same National Collegiate Athletic Association data, the means and standard deviations of eligibility and retention rates (based on a 1,000-point scale) for the 2013-2014 academic year are presented, along with the fictional scores for two basketball teams, A and B. Assume that rates are normally distributed.

Mean

Standard Deviation

Team A

Team B

Eligibility

983

33

971

987

Retention

976

34.9

958

970

1. On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question.
2. What proportion of the teams have retention rates below Team B?
3. What is the percentile rank of Team A's eligibility rate?