You are conducting a study to see if students do better when they study all at o

Question

You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions. The rst group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100. a. What is the calculated t value? Are the mean test scores of these two groups signicantly different at the .05 level? b. What would the t value be if there were only 6 participants in each group? Would the scores be signicant at the .05 level?

Explanation / Answer

Set Up Hypothesis
Null Hypothesis , There Is No-Significance between them Ho: u1 = u2
Alternate Hypothesis, There Is Significance between them - H1: u1 != u2
Test Statistic
X(Mean)=75
Standard Deviation(s.d1)=10.954 ; Number(n1)=12
Y(Mean)=86
Standard Deviation(s.d2)=10; Number(n2)=12
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =75-86/Sqrt((119.99012/12)+(100/12))
to =-2.569
| to | =2.569
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 11 d.f is 2.201
We got |to| = 2.5691 & | t | = 2.201
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != -2.5691 ) = 0.026
Hence Value of P0.05 > 0.026,Here we Reject Ho

[ANSWERS]
a. two groups signicantly different
b.
to =75-86/Sqrt((119.99012/6)+(100/6))
to =-1.817

c.
No they are n't

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