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At the beginning of the semester, students who registered for a statistics course were randomly assigned to two sections, each taught by a different instructor. At the end of the semester, we would like to test whether there are differences in performance on the final exam between the two sections.Which of the following is the most appropriate statistical test to use to test whether there are differences in performance on the final exam between the two sections? ANOVA Two-sample t-test Matched pairs t-test Inference for regression Chi-squared test for independence

Question

At the beginning of the semester, students who registered for a statistics course were randomly assigned to two sections, each taught by a different instructor. At the end of the semester, we would like to test whether there are differences in performance on the final exam between the two sections.Which of the following is the most appropriate statistical test to use to test whether there are differences in performance on the final exam between the two sections? ANOVA Two-sample t-test Matched pairs t-test Inference for regression Chi-squared test for independence

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Solution

The most appropriate statistical test to use in this scenario would be the Two-sample t-test. This test is used to determine if two population means are equal. The two populations in this case are the two sections of the statistics course. The null hypothesis would be that the means of the two populations are equal, i.e., there is no difference in performance between the two sections. The alternative hypothesis would be that the means are not equal, i.e., there is a difference in performance between the two sections.

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