# New to statistics, need a few steps on solving problem

#### SilasStrongjaw

##### New Member
Okay guys, as the title says, I'm pretty new to stats. Currently I am working on a problem for a college class that is giving me a lot of grief. I would greatly appreciate some input. Here it is:

A sample of 65 male professors at a major four-year university produced a
mean annual pay of $74,800 and a standard deviation of$4,850. A sample of 60 female
professors at the same university produced a mean annual pay of $70,250 and a standard deviation of$5,250. Does this constitute enough evidence to conclude that male and female
professors at this university are not paid the same?
(a) State the hypotheses.
(b) Using a 5% significance level, determine the rejection and non-rejection regions.
(c) Calculate the test statistic and the p-value, and interpret the results, and answer the
original question.
(d) Calculate the 95% confidence interval for the difference between the two population
means. How does this result relate to your conclusions in part (c)?

#### BGM

##### TS Contributor
If you feel completely lost in this problem, I suggest you to seek immediate help from your local tutors on the basics of hypothesis testing.

Otherwise please show some effort and let us know which part you are struggling.