In a study of womens science majors the following data on gr

In a study of women’s science majors the following data on grade point averages (GPA) and self-esteem scores of two groups were obtained. The two groups are those who left their profession within a few months after graduation (leavers) and those who remained in their profession after they graduated (stayers).

GPA

Self-Esteem

Leavers

Stayers

Leavers

Stayers

3.16

3.28

3.05

2.96

s₁

0.52

0.46

0.75

0.75

n₁

103

225

103

225

1. Do you think that there is enough evidence to claim that those who stayed in their science profession had a higher grade point average than those who left? Perform a hypothesis test and use ? = 0.05. Show your work or calculator commands.

2. Find a 95% confidence interval for the difference between the grade point averages of leavers and stayers. Show your work or calculator commands.

3. Test the claim that those who stayed in their science profession had a lower self-esteem than those who left. Use ? = 0.05.What is your decision? Show your work or calculator commands.

Solution