11. Inference review, problem 11 Aa Aa An educational testing company claims tha

Question

11. Inference review, problem 11 Aa Aa An educational testing company claims that its course will improve SAT scores by more than 120 points on average. You set out to test whether this is an accurate statement. You gather a sample of SAT scores from 35 students who took the course and 48 students who did not. You reject the null hypothesis for the F-test. With only this information provided, which of the following should you perform? O An independent samples t-test for difference in means (equal variances) O A z-test for the difference in means An independent samples t-test for difference in means (unequal variances) O An F-test for difference in variances O An F-test for difference in means O A z-test for the mean A chi-squared test for variance A t-test for the mean A paired sample t-test for difference in means O A z-test for difference in proportions O A z-test for population proportion

Explanation / Answer

An independent samples t-test for difference in means (unequal variances)

Because we want to compare two means and samples are independent (unequal sizes). F test tests whether two population variances are same or not and we already know that null hypothesis is rejected. This means two population variances are not equal. Therefore, we should use An independent samples t-test for difference in means (unequal variances).

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