Question

Professor Brown is interested to see if the graduating seniors in her sociology class have higher or lower college GPAs compared to their respective high school GPAs (N = 12).

Dr. Brown chose an alpha of .05. Given her research hypothesis, what is the critical value (absolute value) for her test?

Answer 1

Hello

As the number of students compared are less than 30, it will form Student's t-distribution.

Here, number of students = 12, hence, degree of freedom = n - 1 = 12 - 1 = 11.

Alpha = 0.05

Hence, critical value of Student's t distribution, by looking into "Critical values of Student's t distribution with alpha degrees of freedom" table or by using excel formula =T.INV.2T(0.1,11) turns out to be

1.795885

I hope this solves your doubt.

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