Recently a community college offered a 2-credit course to help students with math anxiety. At the beginning of the course, each student took a 30-question survey (called MARS-S); the higher the score, the more anxiety experienced by the student. The nine students remaining in the class took the same survey at the end of the course. The before and after scores for each of the nine students who completed the course are shown below. student before after 1 72 69 2 66 52 3 83 71 4 97 85 5 95 61 6 78 45 7 95 56 8 52 43 9 93 62 Compute the correlation between before and after scores for these students. (Assume the correlation conditions have been satisfied and round your answer to the nearest 0.001.)
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.
| student | before | after |
| 1 | 72 | 69 |
| 2 | 66 | 52 |
| 3 | 83 | 71 |
| 4 | 97 | 85 |
| 5 | 95 | 61 |
| 6 | 78 | 45 |
| 7 | 95 | 56 |
| 8 | 52 | 43 |
| 9 | 93 | 62 |
Compute the
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