The Two Sample t. Review significance testing Review t distribution Introduce 2 Sample t test / SPSS . Significance Testing . State a Null Hypothesis Calculate the odds of obtaining your sample finding if the null hypothesis is correct
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The Two Sample t
Review significance testing
Review t distribution
Introduce 2 Sample t test / SPSS
(X = µ)
(X ≠ µ)
(X > µ)
-1.96 1.96
1.65
Practice:
ALPHATESTNt(Critical)
.052-tailed57
.011-tailed25
.102-tailed32
.051-tailed15
Sampling distribution for one sample t-test
(a hypothetical plot of an infinite number of mean differences, assuming null was correct)
t (obtained) = 1.72
Critical Region
Critical Region
-2.131
(t-crit, df=15)
2.131(t-crit, df=15)
t (obtained) = (X – X)
σx-x
difference between the two means…
…and standardizing this difference with the pooled estimate
- t critical 0 t critical
ASSUMING THE NULL!
t(obtained) = X1 – X2
pooled estimate
H0: There is no relationship between whether an individual has a
college degree and his or her age when their first child is born.