A math teacher wants to determine the effectiveness of her statistics lesson. She gives a simple skills test to nine students before the start of class (a pre-test) and the same skills test to the same students at the end of class (a post-test). Here’s the data (with some calculations) a) Was there a change in student performance from the Pre-test to the Post-test? Level of significance 5% b) Write a brief report explaining your findings
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.
4. A math teacher wants to determine the effectiveness of her statistics lesson. She gives a simple skills test to nine students before the start of class (a pre-test) and the same skills test to the same students at the end of class (a post-test). Here’s the data (with some calculations)
a) Was there a change in student performance from the Pre-test to the Post-test? Level of significance 5%
b) Write a brief report explaining your findings
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