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


Paired T-Test and CI: alg2, geo2 

Paired T for alg2 - geo2

             N    Mean   StDev  SE Mean
alg2        75   3.013   0.937    0.108
geo2        75   3.000   0.838    0.097
Difference  75  0.0133  0.8620   0.0995

95% CI for mean difference: (-0.1850, 0.2117)
T-Test of mean difference = 0 (vs not = 0): T-Value = 0.13  P-Value = 0.894

 

 



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