A researcher randomly sampled 30 graduates of an MBA program and...

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# A researcher randomly sampled 30 graduates of an MBA program and...

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:

Population 1 SampleSample Size18Sample Mean99210Sample Standard Deviation13577Population 2 SampleSample Size12Sample Mean105820Sample Standard Deviation11741  Difference in Sample Means-6610t test statistic-1.97631  Lower Tail TestLower Critical Value-1.70113P-value0.089816

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:

At α = .10 level, there is sufficient evidence to indicate a difference in the mean starting salaries of male and female MBA graduates

At α = .10 level, there is sufficient evidence to indicate that females have a lower mean starting salary than male MBA graduates

At α = .10 level, there is sufficient evidence to indicate that females have a higher mean starting salary than male MBA graduates

At α = .10 level, there is insufficient evidence to indicate any difference in the mean starting salary salaries of female and male MBA graduates

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