TABLE 10-2
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 Table 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.Which of the following is an appropriate alternative hypothesis?

Question

TABLE 10-2
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 Table 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.Which of the following is an appropriate alternative hypothesis?

Quizplus · Accepted Answer

The researcher is attempting to show that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates, indicating a one-tailed test with directionality. Option A is not appropriate because it is a one-tailed test with the wrong directionality. Option C is not appropriate because it is a two-tailed test, not a one-tailed test with directionality. Option D is not appropriate because it assumes equality between the mean starting salaries, which is not the hypothesis being tested. Thus, the best choice is option B.

TABLE 10-2 A Researcher Randomly Sampled 30 Graduates of an MBA Program