A professor believes the class he is teaching in the current semester is above t

Question

A professor believes the class he is teaching in the current semester is above the average of the classes he has taught. In order to test this hypothesis, he analyses the scores of midterm of all 120 students he teaches this semester.Their average score of this exam is 82 out of 100, with a standard deviation of 12. The mean score of the midterm for all students that he has taught for the last thirty-two years is 78 out of 100, with a standard deviation of 15. Use an alpha level of 0.01 for this analysis

Part A.What is the appropriate test? Why?

Part B.State the null hypothesis and the alternative hypothesis:

Part C. Find the critical value:

Part D.Calculate the obtained statistic:

Part E.Make a decision:

Part F.What does your decision mean?

Explanation / Answer

a. Independent sample t-test

The independent sample t-test is a member of the t-test family, which consists of tests that compare mean value(s) of continuous-level(interval or ratio data), normally distributed data. The independent sample t-test compares two means. It assumes a model where the variables in the analysis are split into independent and dependent variables. The model assumes that a difference in the mean score of the dependent variable is found because of the influence of the independent variable. Thus, the independent sample t-test is an analysis of dependence. It is one of the most widely used statistical tests, and is sometimes erroneously called the independent variable t-test.

b. null-, there would be no signficant diffference between the mean scores of previous student group and current group

alternate-  there would be a signficant diffference between the mean scores of previous student group and current group

c. critical value- 0.01

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