A student has to decide whether he wants to major in electrical engineering or computer science.To find out which job pays more,he interviews eight alumni in each profession and asks them what their starting salary was.The electrical engineering alumni had a mean starting salary of $54,000 and a standard deviation of $8,000.The computer science alumni had a mean starting salary of $62,000 and a standard deviation of $10,000.It is reasonable to assume equal population variances,and assume starting salaries are normally distributed.
a.Specify the competing hypotheses to determine if electrical engineering and computer science majors mean starting salaries are equal.
b.Calculate the value of the test statistic,and find the critical value at a 5% significance level.
c.Make a conclusion at the 5% significance level.