Question 1188838
<pre>
On your TI-84,

Press ON
Press CLEAR
Press STAT
Use right arrow key to highlight TESTS
Press 1

Make screen read

         Z-Test
Inpt:Data Stats      <--(highlight Stats)
&mu;<sub>0</sub>:100
&sigma;:15
x̄:112.5
n:30
&mu;:≠&mu;<sub>0</sub>  < &mu;<sub>0</sub>  > &mu;<sub>0</sub>  <-- Highlight > &mu;<sub>0</sub>
Calculate  Draw     <--highlight Calculate

Press ENTER

See this:
           Z-test
&mu;>100
z=4.564354646
p=2.507656533E-6
x̄:112.5
n:30

The p-value is extremely low p=2.507656533x10^-6 = 0.0000002507656533,
so the poem goes:

"When p is low, the null hypothesis must go."

So there is not sufficient evidence to support the principal's claim.

Edwin</pre>