Another researcher wants to determine whether or not freshmen at Mennonite Colle

Question

Another researcher wants to determine whether or not freshmen at Mennonite College of Nursing tend to achieve the same grades in their first (FIR_GPA) and second (SEC_GPA) semesters of college. Examine the data First semester GPA: Mean= 2.68123 N=2765 Std. Deviation=.812845 Second semester GPA: Mean=2.4885 N=2765 Std Dev=.96851 T-test info: Pair 1 first semester-second semester GPA Mean=.19275 Std deviation=.717975 Std error=.013654 t=14.117 df=2764

(a) What type of t-test is this and why?

            (b) Was the change in GPA statistically significant? Pay attention to the size of t statistic.

Explanation / Answer

This is a Paired t test, because we are looking at values of same sample in first and second semesters and comparing if there is statistically significant difference. The samples used are not different, they are same, just two different conditions.

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Part b

The t value of 14.117 is tooo high at df=2764, the difference becomes certainly statistically significant.

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