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A researcher randomly sampled 30 graduates of a major university's MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on the starting salary. The mean salary of 18 females were $48266.7 and the mean salary of 12 males were $55000. It is known that the standard deviations of the starting salaries are $135.78 and $117.41 for the females and males; respectively.
a) Estimate the average starting salary of the male MBA graduates.
b) Estimate the average starting salary of the male MBA graduates with 95% confidence level.
c) Can you claim that the average starting salary of the male MBA graduates is greater than 48000 at a 0.01 significance level?
d) Calculate the p-value for part (c) and comment.
e) Estimate the difference between the average starting salaries of females and males.
f) Estimate the difference between the average starting salaries of females and males with 95% confidence level.
g) Test whether there is a difference between avegare sales of females and males at 0.01 significance level.
h) Calculate the p-value for part (g) and comment.
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