{Narrative: Graduate} The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. Here are data from a Big Ten university's report: 45 of the 74 athletes admitted in a speci fic year graduated within 6 years. Does the proportion of athletes who graduate di ffer signi ficantly from the all-university proportion, which is .70 ? 1. What is your conclusion? Please use words that a non-statistics student would understand, and justify your answer. Assume a significance level of .05
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
{Narrative: Graduate}
The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. Here are data from a Big Ten university's report: 45 of the 74 athletes admitted in a speci fic year graduated within 6 years. Does the proportion of athletes who graduate di ffer signi ficantly from the all-university proportion, which is .70 ?
1. What is your conclusion? Please use words that a non-statistics student would understand, and justify your answer. Assume a significance level of .05
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