# statistics am i right so far

posted by .

SO FAR I HAVE 9.63 FOR THE 1ST 2 COLUMNS
AND 7.56 FOR LAST COLUMN FOR THE VARIANCES. I GOT Z= .0875
SEDIFF =1.2364 SEm=.6019 for 1st set of #s and SEm=1.08 for 2nd set of #s
is that correct and now what?

A total of 23 High School students were admitted to State University. Of those students, 7 were offered athletic scholarships. The schoolâ€™s guidance counselor looked at their composite ACT scores (given in the table below), wondering if State U might admit people with lower scores if they also were athletes

composite ACT test scores
non atheletes
25
22
19
25
24
25
24
23
21
27
29
26
30
27
26
23
atheletes
22
21
24
27
19
23
17
Test an appropriate hypothesis and state your conclusion. Use alpha = .05 for your test. Show the null and alternative hypothesis, the p-value, your conclusion to reject or not, and finally a summarizing statement regarding your conclusion.
Then create a 90% confidence interval and tell me what it means in terms of the problem