Question: A study was conducted to determine if there is a difference, on average, in the mean starting salaries of men and women graduating with a degree in chemical engineering. A sample of 35 men who graduated with a degree in chemical engineering from Barna College resulted had a mean starting salary of $54 thousand with a standard deviation of $4 thousand. A sample of 22 women graduating from Barna College that same year with a degree in chemical engineering had a mean starting salary of $50 thousand with a standard deviation of $2 thousand. Conduct a test at the .05 level of significance. The population standard deviations can not be assumed to be equal.

a. State the null and alternate hypotheses.

b. State the decision rule.

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis? Interpret the result.