The university in order to increase their graduates’ MFT exam score has transitioned to requiring a full year of statistics instead on one semester. Two random samples were taken. Sample One has 59 of this year’s students (the ones that needed to have a full year of stats) has the MFT Their average stats score was 525 with a sample standard deviation of 25. The other sample of students came from last year when the students only needed to have taken 1 semester of stats. Their average score of these 50 students was 505 with a sample standard deviation of 25. Construct the 95% confidence interval showing the improvement in MFT scores that comes from increasing the stats requirement.
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 university in order to increase their graduates’ MFT exam score has transitioned to requiring a full year of statistics instead on one semester. Two random samples were taken.
Sample One has 59 of this year’s students (the ones that needed to have a full year of stats) has the MFT Their average stats score was 525 with a sample standard deviation of 25. The other sample of students came from last year when the students only needed to have taken 1 semester of stats. Their average score of these 50 students was 505 with a sample standard deviation of 25.
Construct the 95% confidence interval showing the improvement in MFT scores that comes from increasing the stats requirement.
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