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T test for dependent samples
1.
t-test for dependent
samples Mike Arieh P. Medina
2.
The problem • Is
sedimentation significantly higher on a rainy day than on ordinary days in River Z at 0.001?
3.
Dataset Regular Day Rainy
Day d d2 16 32 -16 256 3 22 -19 361 17 23 -6 36 3 13 -10 100 19 20 -1 1 15 29 -14 196 24 11 13 169 23 25 -2 4 3 13 -10 100 12 20 -8 64 32 30 2 4 ∑d = -71 ∑d2 = 1291 N = 11
4.
Formula
5.
Calculation t= -2.35 df =
N(number of pairs) – 1 df = 11-1 = 10
6.
Interpretation • Accept Ho
if tcomputed < ttabular • Reject Ho if tcomputed > ttabular • Accept H1 if tcomputed > ttabular • Reject H1 if tcomputed < ttabular
7.
Interpretation Download t-table
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