The Survey
We did a random sample survey of 100 juniors and seniors. Our actual servey looked like this:
Have you taken both Algebra 1 and Geometry? Yes No (circle one) (any level)
(If you have taken both...) What was your avg. grade in Algebra? A B C D F (circle one)
What was your average grade in Geometry? A B C D F (circle one)
Sampling
To obtain our sample we put all juniors and seniors into the minitab because they were most likely to have taken algebra 1 and geometry. We randomly chose 100 using the sample from columns in minitab. We sent out 100 surveys only needing 75, The 25 extra were sent out in case of response bias. Out of the sureys we sent we got exactly 75 usable back.
Signifigance Test
For our study, we used a paired t test. We were comparing two classes and the grade recieved in those classes. We used a paired t test because we were comparing two classes. We assagined each letter grade a number 0-4, A being the highest with a 4 and F being the lowest, 0. The samples were not seperated by gender, age, etc.
Hypothesis:
x1: The average grade for algebra
x2:The average grade for geometry
Ho: µ = 0
Ha:µ ≠ 0
α: .05
Assumptions: During our normaliy test we discovered that not all of our assumptions were met.
t-val:.13
p-val: .894
alg2 75 3.013 0.937 0.108
geo2 75 3.000 0.838 0.097
Difference 75 0.0133 0.8620 0.0995
T-Test of mean difference = 0 (vs not = 0): T-Value = 0.13 P-Value = 0.894