You wish to test the following claim ($\displaystyle {H}_{{a}}$) at a significance level of $\displaystyle \alpha={0.05}$.

      $\displaystyle {H}_{{o}}:\mu={83.2}$
      $\displaystyle {H}_{{a}}:\mu\ne{83.2}$

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
93.3
82.2
94.2
67.7
95.8
91.1

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...