An experiment was conducted to test whether students’ performance (above or below average) is independent of stress level as a result of pressure on time table for the term in Hwanhwan Senior High School. The table below gives a 3 × 2 contingency table of the sample. Above Average Average Below Average Total Stressed 135 250 285 670 Not Stressed 150 157 107 414 Total 285 407 392 1084 With the help of chi-square test statistics, determine whether students' performance for the selected term in the school is independent of their stressed level experienced from the time table at α = 0.05
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.
An experiment was conducted to test whether students’ performance (above or below average) is independent of stress level as a result of pressure on time table for the term in Hwanhwan Senior High School. The table below gives a 3 × 2 contingency table of the sample.
| Above Average | Average | Below Average | Total | |
| Stressed | 135 | 250 | 285 | 670 |
| Not Stressed | 150 | 157 | 107 | 414 |
| Total | 285 | 407 | 392 | 1084 |
With the help of chi-square test statistics, determine whether students' performance for the selected term in the school is independent of their stressed level experienced from the time table at α = 0.05
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