Suppose a certain state university's college of businessobtained the following results on the salaries of a recentgraduating class:
Finance Majors | Business Analytics Majors |
---|
n1 = 140 | n2 = 30 |
x1 = $48,437 | x2 = $55,217 |
s1 = $19,000 | s2 = $10,000 |
(a)
Formulate hypotheses so that, if the null hypothesis isrejected, we can conclude that salaries for Finance majors aresignificantly lower than the salaries of Business Analytics majors.Use ? = 0.05. (Let ?1 = the population mean salary forFinance majors, and let ?2 = the population mean salaryfor Business Analytics majors. Enter != for ? as needed.)
H0:
Ha:
(b)
What is the value of the test statistic? (Use
?1 ? ?2.
Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimalplaces.)
p-value =
(d)
What is your conclusion?
Reject H0. We can conclude that salaries forFinance majors are significantly lower than the salaries ofBusiness Analytics majors.
Reject H0. We cannot conclude that salariesfor Finance majors are significantly lower than the salaries ofBusiness Analytics majors.   Â
Do not reject H0. We cannot conclude thatsalaries for Finance majors are significantly lower than thesalaries of Business Analytics majors.
Do not reject H0. We can conclude thatsalaries for Finance majors are significantly lower than thesalaries of Business Analytics majors.