Question

A researcher wants to look at the difference in achievement between first-born, middle-, and youngest siblings. To do so, the researcher surveys individuals and asks what place they were born into their family in and provides a questionnaire about lifetime achievement. What hypothesis test should this researcher use to analyze their data?

Group of answer choices

One-sample t-test

ANOVA

Pearson correlation

Independent-samples t-test

Answer 1

ANOVA

Explanation:

For the given hypothesis test scenario, we need to use the comparison of more than two population means. For this scenario, we have to compare the three groups. So, we cannot use two sample t test for the comparison. We know that we use the ANOVA for the comparison of more than two population means. We cannot use one sample t test or independent samples t test for this comparison. Also, we cannot use Pearson correlation in this situation, because we do not want to find the relationship between two samples, but we want to compare the three groups. So, appropriate test is ANOVA test.