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C12. According to the same National Collegiate Athletic AssoC 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 a. On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question.

C12. According to the same National Collegiate Athletic AssoC 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 a. On which criterion (eligibility or retention) did Team A do better than Team B? Calculate appropriate statistics to answer this question.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**C12. National Collegiate Athletic Association Data Analysis** The data here are based on the National Collegiate Athletic Association for the 2013–2014 academic year. The information includes means and standard deviations of eligibility and retention rates, given on a 1,000-point scale, for two fictional basketball teams, A and B. It's assumed that these rates follow a normal distribution. **Data Table:** | Criterion | Mean | Standard Deviation | Team A | Team B | |---------------|------|--------------------|--------|--------| | Eligibility | 983 | 33 | 971 | 987 | | Retention | 976 | 34.9 | 958 | 970 | **Questions:** a. **Comparison of Team Performance:** Determine on which criterion (eligibility or retention) Team A performed better than Team B using appropriate statistical measures. b. **Proportion Below Team B's Retention Rate:** Calculate what proportion of teams have retention rates below Team B's rate. c. **Percentile Rank of Team A's Eligibility Rate:** Determine the percentile rank of Team A's eligibility rate.
Transcribed Image Text:**C12. National Collegiate Athletic Association Data Analysis** The data here are based on the National Collegiate Athletic Association for the 2013–2014 academic year. The information includes means and standard deviations of eligibility and retention rates, given on a 1,000-point scale, for two fictional basketball teams, A and B. It's assumed that these rates follow a normal distribution. **Data Table:** | Criterion | Mean | Standard Deviation | Team A | Team B | |---------------|------|--------------------|--------|--------| | Eligibility | 983 | 33 | 971 | 987 | | Retention | 976 | 34.9 | 958 | 970 | **Questions:** a. **Comparison of Team Performance:** Determine on which criterion (eligibility or retention) Team A performed better than Team B using appropriate statistical measures. b. **Proportion Below Team B's Retention Rate:** Calculate what proportion of teams have retention rates below Team B's rate. c. **Percentile Rank of Team A's Eligibility Rate:** Determine the percentile rank of Team A's eligibility rate.
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