Please show work.

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 (same thing as independent sample t-test with equal variance of population) of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below (attached)

I. Referring to problem above the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. What is an appropriate alternative hypothesis?

II. 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. From the analysis in Scenario 10-2, the correct test statistic is what?

III. 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 a=0.10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates

b.At a=0.10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates

c. At a=0.10level, there is sufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates.

d. At a=0.10 level, there is insufficient evidence to indicate any difference in the mean starting salaries of male and female MBA graduates.

Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 18 Sample Mean 99210 Sample Standard Deviation 13577 Population 2 Sample Sample Size 12 Sample Mean 105820 Sample Standard Deviation 11741 Difference in Sample Means -6610 t Test Statistic -1.37631 Lower-Tail Test Lower Critical Value -1.70113 p-Value 0.089816