A professor believes the class he is teaching in the current semester is below the average of the classes he has taught. In order to test this hypothesis, he analyses the scores of midterm of all 100 students he teaches this semester. Their average score of this exam is 79 out of 100, with a standard deviation of 12. The mean score of the midterm for all students that he has taught for the last thirty-two years is 83 out of 100, with a standard deviation of 14. Use an alpha level of 0.01 for this analysis. Part F.What does your decision mean?
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.
A professor believes the class he is teaching in the current semester is below the average of the classes he has taught. In order to test this hypothesis, he analyses the scores of midterm of all 100 students he teaches this semester. Their average score of this exam is 79 out of 100, with a standard deviation of 12. The mean score of the midterm for all students that he has taught for the last thirty-two years is 83 out of 100, with a standard deviation of 14. Use an alpha level of 0.01 for this analysis.
Part F.What does your decision mean?
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