A college looked at a random sample of students who worked theprevious summer.  

Use the following information to answer questions 1 - 7.

The following data show the average earnings and sample standarddeviations for a random sample of males and a random sample offemales.

Group	n	x?	s
males	15	3400	2495
females	20	2500	1920

The following degrees of freedom may be helpful: 25.49

1) Find the point estimate of the difference between the meansummer earnings for males and the mean summer earnings forfemales.

2) Find the 95% confidence interval for thedifference between the means of the two populations.

3) The college is interested in showing that the mean summerearnings for the males is greater than the meansummer earnings for females. What null and alternate hypothesisshould the college use?

4) The college is interested in showing that the mean summerearnings for males is greater than the mean summer earnings forfemales. What is the value of the test statistic?
a) 3.17
b) -3.17
c) 2.10
d) -2.10
e) 1.16
f) -1.16
g) none of the above

5) The null hypothesis in problem 3 is to be tested at the 5%level of significance. The rejection region (regions) from thetable is (are):
a)          z?-1.96 or z?1.96
b)          z?1.96
c)           z?-1.96
d)           z?-1.645 or z?1.645
e)           t?1.708
f)           t?-1.708
g)           t?-1.708or t?1.708
h)           t?-2.060
i)            t?2.060
j)            t?-2.060 or t?2.060

6) If the null hypothesis is tested in problem 4 at the 5%level, the null hypothesis should be:
a) rejected
b) not rejected
c) impossible to determine

7) Find the p-value for the hypothesis test in problem 4.
a) p-value>.10
b) .05 c) .025 d) .01 e) .005 f) p-value<.005

Steps on how to get the answers would be appreciated.Thanks.