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A professor is interested in comparing the difference in grades for tradional undergrads and non-traditional undergrads...

A professor is interested in comparing the difference in grades for tradional undergrads and non-traditional undergrads for her course. Which of following would she use: Onesample test, Difference of means test (two sample/independent test), or a paired sample test (dependent):
Math   Statistics-And-Probability   
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Answer #1

In this situation professor should use difference of means test (two sample/independent test).

Two sample/ independent test is used to compare the difference between the average values of the two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

One sample t test cannot be used because in given situation there are two groups.

Paired sample test (depedent sample t test) cannot be used because sample are not depedent and related.

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