Which area of the test seems to give the students the most trouble? Student Critical Reading Mathematics Writing 1 526 534 530 2 594 590 586 3 465 464 445 4 561 566 553 5 436 478 430 6 430 458 420
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.
- The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows.
- Using a .05 level of significance, do students perform differently on the three areas of the SAT?
- Which area of the test seems to give the students the most trouble?
|
Student |
Critical Reading |
Mathematics |
Writing |
|
1 |
526 |
534 |
530 |
|
2 |
594 |
590 |
586 |
|
3 |
465 |
464 |
445 |
|
4 |
561 |
566 |
553 |
|
5 |
436 |
478 |
430 |
|
6 |
430 |
458 |
420 |
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