You learn the average GRE score of private college graduates pursuing their MPH is
1500 with a standard deviation of 100. You want to determine whether CSU
Students are equally prepared. You randomly select 100 GRE scores of CSU
Graduates and find that the mean is 1545. Do a hypothesis test to see if this
Difference is of any real significance atα=.05.Apply and show all six steps.
µ=1500, =100, n=100, sample mean=1545, α=0.05
Hypothesis
Null hypothesis: µ=1500
Alternative hypothesis: µ1500
Starndard error=
=100/
=10
Z=sample mean – pop. Mean/ standard error
=1545- (1500/10)
=4.5
Zα = 0.96
Since Z>Zα, then we reject the null hypothesis at 0.05 level of significance
Conclusion: There is significant difference from the population mean; mean is not 1500
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