A researcher collects data on shyness for two groups: 1) high school students who have their own cell phone; and 2) high school students who do NOT have a cell phone. Shyness is measured by the Shyness Inventory (an interval scaled variable). For group one (students who have their own cell phone), the following values are measured from the Shyness Inventory: 89, 95, 72, 68, 91, 86. For group two (students who do NOT have their own cell phone), the following values are measured from the Shyness Inventory: 56, 78, 61, 43, 80, 50. Conduct the appropriate statistical procedure at alpha of .05 to determine if there is a difference, on average, of the shyness of students who have versus do not have a cell phone. Is the assumption of homogeneity of variances met?

Question

Quizplus · Accepted Answer

The assumption of homogeneity of variances is met when using Levene's Test for Equality of Variances, which is a prerequisite for conducting an independent samples t-test to compare the means of the two groups. Given the small sample sizes and the lack of specific variance data provided in the question, we cannot directly calculate or test for homogeneity of variances here. However, in practice, Levene's Test would be used to assess this assumption before proceeding with the t-test. Since the question does not provide variance data or results of such a test, the statement is considered true in the context of explaining the process, assuming that the next step (conducting the t-test) is appropriate based on meeting this assumption.

A Researcher Collects Data on Shyness for Two Groups: 1)