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You are interested in whether taking a statistics course influence people’s reasoning skill. You gave reasoning...

  1. You are interested in whether taking a statistics course influence people’s reasoning skill. You gave reasoning skill measure to 50 students taking statistics course at the beginning of the semester, then at the end of the semester you gave another reasoning skill measure. The reasoning skill measures are in interval scale. What analysis you should perform to address your question.
Math   Statistics-And-Probability   
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Answer #1

Here, the reasoning skills are measured two times one at the beginning of the course and the one at the end of the semester on the same student. Hence, it is a case of paired measurements. The measurements are done on an interval scale. It is also reasonable to assume that the scores are approximately Normal and are independent of each other.

If the statistics course is effective, then we are expected to get higher scores after the course. Hence, I shall perform a paired t-test on the difference in scores using the difference end score-pre score. To be effective, this difference has to be positive. We shall be testing the Null hypothesis

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