The following data set was collected by Campus Life. They are investigating the possibility of a relations between students' time spent studying each week (in hours) and how much time they dedicate to campus life activities each week (in hours). In this table, each "ID" represents a single student. X- Studying Y - Activities Student ID 1 10 2 3 4 3 1 4 5 2 13 5 4 8 7 15 7 8 4 9 4 7 3 12 10 7 16 Mean 5.0 9.0 Std. Dev 2.5 5.0
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.
This data set originally contained only the information for Students #1-8. At the time, the sum of the product of the deviation scores for the two variables was 31. Then, Students #9 and #10 provided Campus Life with their information. Calculate the
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