C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. Student HS GPA 3.6 STA GPA 3.4 Student HS GPA STAGPA 2.5 1 2.9 21 2 3.4 3.1 22 3.4 2.9 4.0 3 3.1 3.0 23 1.7 4 2.9 1.7 24 3.5 3.2 3.4 3.0 25 4.0 3.3 3.6 3.6 26 3.6 3.2 7 3.1 3.0 27 3.8 3.9 4.0 3.9 28 3.4 3.2 3.0 3.0 29 3.6 3.7 30 31 10 2.9 2.0 4.0 4.0 11 3.3 3.0 3.3 3.2 12 3.6 3.8 32 3.7 3.2 3.4 13 3.7 3.9 33 3.0 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 16 2.9 2.8 2.5 36 3.8 3.7 17 2.1 37 2.9 2.2 3.6 3.6 3.6 18 3.8 1.7 38 19 3.7 3.5 39 3.5 20 3.9 3.0 40 3.1 3.6 How confident should St. Mary's be regarding the accuracy of their predictions?
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.
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