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T-test statistics questions

1. The following are the GMAT scores and the GPA's of a random sample of 6 students in a graduate school. During a "cram" weekend the students learned several GMAT applications. With a 0.05 level of significance did the GPAs increase?

BEFORE AFTER
GMAT GPA GPA
610 3.60 3.70
470 3.25 3.30
590 3.50 3.45
520 3.20 3.15
410 3.00 3.10
750 4.00 3.95

2. We can compare two sample means to determine if the samples were obtained from normal populations with the same mean using "t" distribution. Three assumptions are required;

1.
2.
3.

Solution Summary

This solution shows the steps to a t-test statistic problem and discusses assumptions required when comparing two sample means.

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