Question

Statistical method

A researcher randomly sampled 30 graduates of an MBA program and their starting salaries. It is found the sample mean of the starting salary is $60,960/year with a sample standard deviation of $12,987.

a. Please test the hypothesis that the starting salaries of MBA graduate is more than $50,000/year at 5% level of significance.

b. Further breakdown of the data shows that Male Female
?? = 12 ?? = 18

̅̅
? = 65,000.00 ? = 58,266.70

??

? = 12,751.29 ? = 13,270.34 ??

Please test whether male graduates enjoy higher starting salaries than female graduates at 5% level of significance.

c. An officer from the career office claimed that there is strong gender discrimination in the market, and the starting salary of a male graduate is $10,000 more than that of a female graduate. Do you think that the officer’s claim is true?


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