Assuming a 95% confidence level
The dean wants to know whether there is salary difference between male and female alumni. He knows that the population standard deviation for male is $8 and for female is $10. The sampled data show that the average salary for 100 male is $56 and the average salary for 121 female is $52:
(a) What are the null and alternate hypotheses?
(b) Decide on the test statistic and calculate the value of the test statistic (hint: write the equation and calculate the statistic)?
(c) What's your decision regarding the hypothesis and interpret the result using test-score rejection region rule or p value rule