You've collected this data on past grades in two popular classes: English 600 Math 500 A 155 B D. P. 255 355 90 45 25 50 375 275 175 To test the null hypothesis Ho: grades in Math 500 and grades in English 600 are mutually independent against the full alternative H: grades in Math 500 and grades in English 600 are not mutually independe.
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.
1. How many degrees of freedom does the relevant Pearson’s contingency ?^2 distribution have?
2. How much is the observed ?^2?
3. What can you say about the P-value?
5. Would you reject or FTR at level of significance ? = 5%?
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