You wish to test the following claim ($\displaystyle {H}_{{1}}$) at a significance level of $\displaystyle \alpha={0.05}$.

      $\displaystyle {H}_{{0}}:\mu={63.8}$
      $\displaystyle {H}_{{1}}:\mu<{63.8}$

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $\displaystyle {n}={16}$ with mean $\displaystyle \overline{{x}}={54.7}$ and a standard deviation of $\displaystyle {s}={9.1}$.

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...