Question 286095
You want to prove that a population mean is not 7. 
Data is ratio and a large sample size will be used (n = 225). 
When the sample is done the sample mean is computed to be 7.2 and the sample standard deviation is 1.5. 
Test the hypothesis using an alpha of 5%. 
Use formal hypothesis testing and compute the p-value.
-----
Ho: u = 7
Ha: u is not 7 (claim)
-------------------------------
t(7.2) = (7.2-7)/1.5 = 0.1333...
---
p-value = 2*P(t > 0.13333.. with df = 224) 
= 2*tcdf(0.13333..,100,224) = 0.8940
----
Wow! Fail to reject Ho; that p-value is much larger than the p-value.
=================================================
Cheers,
Stan H.
=================================================