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A professor believes the class he is teaching in the current semester is below the average...

A professor believes the class he is teaching in the current semester is below the average of the classes he has taught. In order to test this hypothesis, he analyses the scores of tests of all 120 students he teaches this semester. Their average score of this test is 79 out of 100, with a standard deviation of 12. The mean score of the tests for all students that he has taught for the last thirty-two years is 83 out of 100, with a standard deviation of 14. Use an alpha level of 0.01 for this analysis.

Find the critical value:

Calculate the obtained statistic:

Make a decision explain what it means

math   Statistics-And-Probability   
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Z test hypothesis calculation.

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