AUA wants to determine whether the mean cumulative GPA, CGPA is significantly different among undergraduate and graduate students (Sheet 31). They collect data on several undergraduate and graduate students. What can they conclude at alpha=0.05? Undergraduates Graduates 3,14 3,21 3,25 3,25 2,85 3,66 3,9 3,87 3,84 3,51 3,68 3,25 3,87 3,65 3,58 3,01 3,41 3,06 3,62 2,88 3,88 2,64 3,74 2,57 3,69 2,48 3,95 3,31 3,87 3,22 2,98 3,16 2,58 3,56 3,87 3,45 3,67 3,56 3,98 3,12 3,15 3,61 Select one: a. t(stat)=2.56, which is greater than t(cr)=1.68, therefore, we can conclude that there is significant difference in mean CGPAs b. Assuming unequal variances, t(stat)=2.56, which is greater than t(cr)=2.02, therefore, we can conclude that there is significant difference in mean CGPAs c. t(stat)=1.15, which is less than t(cr)=2.12, therefore, we can conclude that there is no significant difference in mean CGPAs d. Assuming equal variances, t(stat)=2.56, which is greater than t(cr)=2.02, therefore, we can conclude that there is significant difference in mean CGPAs
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.
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