The following is a set of hypotheses, some information from one
or more samples, and a standard error from a randomization
distribution.
Test H0 : μ=85 vs Ha : μ>85 when the sample has n=20, x¯=81.9,
and s=3.3 with SE=0.7.
Find the value of the standardized z-test statistic.
Solution :
= 85
= 81.9
S = 3.3
n = 20
This is the right tailed test .
The null and alternative hypothesis is
H0 : = 85
Ha : > 85
SE = 0.7
Test statistic = z
= ( - ) / / n
= (81.9 -85) / 0.7
= -4.429
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