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

      $\displaystyle {H}_{{o}}:\mu={65.6}$
      $\displaystyle {H}_{{a}}:\mu>{65.6}$

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $\displaystyle {n}={655}$ with a mean of $\displaystyle {M}={67.1}$ and a standard deviation of $\displaystyle {S}{D}={12.9}$.

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

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

The test statistic is...

This test statistic leads to a decision to...

As such, the final conclusion is that...