Answer
No. See explanations.
Work Step by Step
Given $\mu1=58500, \mu2=49339, \bar X1=59235, \bar X2=52487, \sigma1=8945, \sigma2=10125, n1=40, n2= 35$
a. State the hypotheses and identify the claim.
$H_o: \mu1-\mu2=0$
$H_a: \mu1-\mu2\ne0$ (claim, two tail test)
b. Find the critical value(s).
$\alpha/2=0.005, |z_c|=2.575$
c. Compute the test value.
$z=\frac{(59235-52487)-(58500-49339)}{\sqrt {\frac{8945^2}{40}+\frac{10125^2}{35}}}=-1.09$
d. Make the decision.
Since $z\gt -2.575$, we do not reject the null hypothesis.
e. Summarize the results.
Use the 0.01 level of significance, it can not be concluded that there is a difference
in mean earnings between male and female college graduates.
