**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 at****α=.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