Question

1. In a study of women science majors, the following data were obtained on two groups, those who left their profession within a few months after graduation (leavers) and those who remained in their profession after they graduated (stayers). Test the claim that those who stayed had a higher science grade-point average than those who left. Use α = 0.05. Assuming that populations are normally distributed and population variances are equal.

Leavers Sample size = 22

Stayers Sample size = 25

Leavers Sample SD= .58

Stayers Sample SD= 0.52

Leavers Sample mean = 3.14

Stayers Sample mean = 3.20

Answer 1

The test hypothesis is

This is a one-sided test because the alternative hypothesis is formulated to detect the difference from the hypothesized mean on the upper side

Now, the value of test static can be found out by following formula:

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 25 + 22 - 2 = 45

This implies that

Since t, we fail to reject the null hypothesis H0 at