Question

Question 20 (1 point) I used to work for a tutoring center and my bosses didn't know anything of statistics. They wanted PROOF that our tutoring was making a difference. Obviously, proof isn't something we can show, but we can show evidence. At the end of the semester, i made a list of all the students who spent at least 1 hour a week getting tutored. That came to about 200. Of those, i randomly selected 50 and found their mean GPA to be 3.6 with a sample standard deviation of .32. I then took a list of everyone attending the school who didn't attend tutoring and randomly picked 50 of them. I found their mean GPA to be 3.1 with a sample standard deviation of .4. Obviously, there are some SERIOUS flaws with this study", but that's what my bosses wanted. Therefore, estimate how much spending at least 1 hour a week in tutoring raises your GPA. Use a 95% confidence level. O anywhere between.35 and .64 points anywhere between .8 and 1.2 points anywhere between 13 and 26 points anywhere between - 4 and 7 points lurestian 21 horas

Answer 1

Answer:-

we have , noso, X = 3.6 Si= 0.32 Xq = 3.1 S2 0:40 na ser t (20.95 del (=0.05 (two teiled) teritical = tnith2-2, 2/2 tg8, 0.05/2 1.99 95% CI for 41 - 42) is tie W-X2) + Enithzez;8/2 S. ECX-X2) S-ECX-22) 2) S. E CX-X2) - 51? + Sz² = 0:322 + 0.402 50 h\ h2 50 0.042 € (standarde enor (1935-3-1) (3:6-3.1) † 1.99.X 0.092 c 05 + 0:14328) 0:35 Therefore 0.64) estimate spending at least I hour GPA is anywhere 4 in the forcing raise between 0.25 0.64 pointe

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