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

      Ho:μ=77.1\displaystyle {H}_{{o}}:\mu={77.1}
      Ha:μ>77.1\displaystyle {H}_{{a}}:\mu>{77.1}

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22\displaystyle {n}={22} with mean M=81.7\displaystyle {M}={81.7} and a standard deviation of SD=16.5\displaystyle {S}{D}={16.5}.

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...