A study was conducted to determine if there is difference, on average, in mean starting salaries of men and women graduating with degree in chemical engineering. A sample of 35 men who graduated with degree in chemical engineering from Barna College resulted had mean starting salary of $54 thousand with standard deviation of $4 thousand. A sample of 22 women graduating from Barna College that same year with 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.
H0:
H1:
b. Find the critical value:
c. Compute the value of the test statistic.
d. What is your decision regarding the null hypothesis?