C12. 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 rhe 2013-2014 academic year are presented, along with the fictional scores for two hasketball 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 a. On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question. b. What proportion of the teams have retention rates below Team B? c. What is the percentile rank of Team A's eligibility rate?

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a According to the same National Collegiate Athletic Association data, the means and
ctandard 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
a. On which criterion (eligibility or retention) did Team A do better than Team B?
Calculate appropriate statistics to answer this question.
b. What proportion of the teams have retention rates below Team B?
c. What is the percentile rank of Team A's eligibility rate?
Transcribed Image Text:a According to the same National Collegiate Athletic Association data, the means and ctandard 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 a. On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question. b. What proportion of the teams have retention rates below Team B? c. What is the percentile rank of Team A's eligibility rate?
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