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Brain- Non-Brain-
Training Quiz Training Quiz
Friends Scores (X 1 ) (X 1 - M) (X 1 - M) 2 Friends Score (X 2 ) (X 2 - M) (X 2 - M) 2
Alyssia 5 −1.75 3.06 Sacha 3 −3.00 9.00
Selma 8 1.25 1.56 Tiegan 5 −1.00 1.00
Andy 7 0.25 0.06 Jordon 8 2.00 4.00
Jessica 9 2.25 5.06 Marley 4 −2.00 4.00
Layton 4 −2.75 7.56 Ally 2 −4.00 16.00
Jameson 3 −3.75 14.06 Clinton 9 3.00 9.00
Debora 6 −0.75 0.56 Carson 10 4.00 16.00
Zaiden 8 1.25 1.56 Niamh 10 4.00 16.00
Charley 10 3.25 10.56 Jen 4 −2.00 4.00
Malloy 7 0.25 0.06 Hassan 7 1.00 1.00
Baylee 10 3.25 10.56 Candice 5 −1.00 1.00
Harleen 4 −2.75 7.56 Brinley 5 −1.00 1.00
Bryce 6 0.00 0.00
ΣΣ X 81 SS 62.22 ΣΣ X 78 SS 82.00
N 12 df 1 11 N 13 df 2 12
M 1 6.75 M 2 6.00
Estimated Population S 1 2 SS/df Estimated Population S 2 2 SS/df
Variance from the S 2 5.66 Variance from the S 2 6.83
Sample 1 Sample 2
df Total df ++ df
1 2
df Total 23
Pooled Estimate of the Population S 2 Pooled df 1 S ( ( )) ++ df 2 S ( ( ))
2
2
Variance df 1 df 2
Total Total
S 2 Pooled 6.27
Variance of the S 2 S 2 / N Variance of the S 2 S 2 / N
M 1 Pooled 1 M 2 Pooled 2
Distribution of Means 2 Distribution of Means 2
S 0.52 S 0.48
M 1 M 2
Comparison Distribution: S 2 S 2 ++ S 2
Difference M 1 M 2
Distribution of Differences 2
S Difference 1.00
Between Means
S S 2
Difference Difference
S Difference 1.00
t-Score t ( M −− M )/ S Difference
1
2
t 0.75

Figure 10.5 Computations for t-Test for Two Independent Samples

T -TES T F OR TW O INDEPENDENT/UNRELATED S AMPLES • CHAPTER 10 353

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