You wish to test the following claim ($\displaystyle {H}_{{a}}$) at a significance level of $\displaystyle \alpha={0.002}$.

      $\displaystyle {H}_{{o}}:\mu={57.2}$
      $\displaystyle {H}_{{a}}:\mu>{57.2}$

You believe the population is normally distributed and you know the standard deviation is $\displaystyle \sigma={17.5}$. You obtain a sample mean of $\displaystyle {M}={66.8}$ for a sample of size $\displaystyle {n}={34}$.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

This test statistic leads to a decision to...

As such, the final conclusion is that...