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# Statistical Reasoning

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A test of statistical reasoning is given to 10 students before and after an elementary statistics course. At V = 0.05, test the claim that the mean score is not affected by the course. Assume the students are randomly selected from normally distributed populations.

BEFORE: 74 83 75 88 84 63 93 84 91 77
AFTER: 73 77 70 77 74 67 95 83 84 75

Please explain by using the traditional methods for testing hypotheses and showing the results of all steps in the process.

##### Solution Summary

The solution addresses a test of statistical reasoning is given to 10 students before and after an elementary statistics course. At V = 0.05, test the claim that the mean score is not affected by the course. Assume the students are randomly selected from normally distributed populations.

BEFORE: 74 83 75 88 84 63 93 84 91 77
AFTER: 73 77 70 77 74 67 95 83 84 75

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