What is the t statistic for the following two samples? Sample 1: n=4 SS = 1.94...
What is the t statistic for the following two samples?
- Sample 1:
- n=4
- SS = 1.94
- M = 2.5
- Sample 2
- n=5
- SS = 3.96
- M = 4.0
Homework Answers
Given:
· Sample 1:
o n=4
o SS = 1.94
o M = 2.5
· Sample 2
o n=5
o SS = 3.96
o M = 4.0
S1^2 = SS/(n – 1) = 1.94/(4 – 1) = 0.646667
S2^2 = SS/(n – 1) = 3.96/(5 – 1) = 0.99
S1 = sqrt(0.646667) = 0.804156
S2 = sqrt(0.99) = 0.994987
The formula for t statistic is given as below:
t = (X1bar – X2bar) / sqrt[(S12 / n1)+(S22 / n2)]
t = (2.5 – 4.0) / sqrt[(0.646667/4) + (0.99/5)]
t = -1.5/0.599722
t = -2.50116
t statistic = -2.50116
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