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

      $\displaystyle {H}_{{o}}:\mu_{{1}}=\mu_{{2}}$
      $\displaystyle {H}_{{a}}:\mu_{{1}}\ne\mu_{{2}}$

You obtain the following two samples of data.

Sample #1	Sample #2
50.6 81 91.2 66.9 83.1 87.8 80.2 59.3 87.8 73.2 80.6 75.1 88.3 50.6 66 81 77.1 64.5 59.3 59.9 84.9 94 71.2 69.1 64.5 90.6 67.4 87.8 70.8 83.5 98.6 79 81.4 79.4 81.8 72.4 46.9 60.6 79.4 95.6 85.3 65.5 102.9 62.9 79.4 79.8	94.5 92 76.7 86.6 80.9 88 85.3 77 84.9 81.7 89.5 94 87.5 86.4 80.9 77.3 94 79.5 81.3 92.4 77.3 84.9 90.7 91 91.7 80.9 102.7 85.3 93.6 82.8 80.6 85.5 81.1 86.2 86.6 72.3 81.5 91.3 84.2 82.1 86.6 83.6 87.8 99 93.6 78.6 87.3 86.2 85.9 88.2 92.7 64.1 78.6 82.4 85.7 94.5 83.8 95.1 64.1 69.7 76.1 88.7 85.5

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? For this calculation, use the degrees of freedom reported from the technology you are using. (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...