In 2016, the Honors College at a large state university claimed that the average GPA of its graduating students is 3.80. Later that year, a new service-learning requirement was added to the graduation requirements, despite student claims that this additional requirement would take away from the time devoted to their studies and likely lower their GPAs. Last month, the dean of the Honors College randomly selected 10 graduating students and recorded their GPAs. His recorded data is as follows: 3.85 3.95 4.00 3.61 3.83 3.73 3.69 3.81 3.73 3.78 Using the appropriate six-step non-parametric testing procedure, is there sufficient evidence at the α = 0.05 significance level to conclude that average GPA of graduating students has decreased since the service-learning requirement was added?
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.
In 2016, the Honors College at a large state university claimed that the average GPA of its graduating students is 3.80. Later that year, a new service-learning requirement was added to the graduation requirements, despite student claims that this additional requirement would take away from the time devoted to their studies and likely lower their GPAs. Last month, the dean of the Honors College randomly selected 10 graduating students and recorded their GPAs. His recorded data is as follows:
3.85 3.95 4.00 3.61 3.83 3.73 3.69 3.81 3.73 3.78
Using the appropriate six-step non-parametric testing procedure, is there sufficient evidence at the α = 0.05 significance level to conclude that average GPA of graduating students has decreased since the service-learning requirement was added?
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