A researcher wishes to compare how students at two different schools perform on a math test.He randomly selects 40 students from each school and obtains their test scores.
A)Either two-sample or paired t-tests will work equally well.
B)Pooled t-test,since the standard deviations of the two populations are likely to be the same.
C)Paired t-test,since the students at the two schools can be paired together.
D)Two-sample t-test,since the samples are independent.
E)Not enough information is given to determine the correct type of test.

Question

Quizplus · Accepted Answer

The researcher is comparing two different schools, meaning the samples are independent. Hence, a two-sample t-test is the appropriate choice. A pooled t-test is only used when we assume that the standard deviations of the two populations are equal, which is not provided in this scenario. A paired t-test is used when the two groups being compared are dependent or paired, which is not the case for this scenario. Therefore, option (D) is the best choice.

A Researcher Wishes to Compare How Students at Two Different