One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree. One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree. What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let (Mu1) represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let (Mu2) represent the average time it takes males to complete a baccalaureate degree in the California public university system.

Answer to above:
H0: Mu1-Mu2=0
Ha: Mu1-Mu2<0

Additional Details:

Now suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let m1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let m2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.

Using the summary data below from the two samples, compute the value of the test statistic t*.

xbar1=4.95
xbar2=5.22
s1=0.64
s2=0.89
n1=21
n2=21