You wish to test the following claim (H1) at a significance
level of α=0.02.
Ho:μ=76.5
H1:μ≠76.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=209 with
a mean of ¯x=79.4 and a standard deviation of s=11.5.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
Solution :
The null and alternative hypothesis is ,
=76.5
=79.4
s =11.5
n =209
This will be a two tailed test because the alternative hypothesis is showing a specific direction
This is the two tailed test .
The null and alternative hypothesis is ,
H0 :
=76.5
Ha :
76.5
Test statistic = t
= (
-
) / s /
n
= (79.4-76.5) /11.5 /
209
= 3.646
Test Statistic = 3.646
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