A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning
their starting salaries. Of primary interest to the researcher was the effect of gender on starting
salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population
1) and males (Population 2) in the sample is given below.

-Referring to Scenario 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.The proper conclusion for this test is:
A)At the = 0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates.
B)At the = 0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates.
C)At the = 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates.
D)At the = 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of male and female MBA graduates.

Question

A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning 
their starting salaries. Of primary interest to the researcher was the effect of gender on starting 
salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 
1) and males (Population 2) in the sample is given below.

-Referring to Scenario 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.The proper conclusion for this test is:
A)At the = 0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates. 
B)At the = 0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates. 
C)At the = 0.10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates. 
D)At the = 0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of male and female MBA graduates.

Quizplus · Accepted Answer

The p-value for the test is given as 0.026, which is less than the significance level of 0.10. Therefore, we can reject the null hypothesis and conclude that there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates. The result of the t-test shows that the t-statistic is negative and the p-value is less than the significance level of 0.1, which indicates that the mean starting salary of female MBA graduates is significantly lower than that of male MBA graduates. Therefore, the proper conclusion for this test is that at the 0.1 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates.

A Researcher Randomly Sampled 30 Graduates of an MBA Program