You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:μ1=μ2 Ha:μ1

You wish to test the following claim (Ha) at a significance level of α=0.002.


      Ho:μ1=μ2
      Ha:μ1<>


You obtain the following two samples of data.

Sample #1	Sample #2
72.6 82.8 78.4 68.9 76.7 75.3 77.6 59.4 78.4 81.9 87.6 58.5 65.3 77.4 85.4 57.2 75.1 58.5 70.3 70.5 74.3 84.6 72.2 74.9 79.5 74.7 86.3 66.4 71.3 79.2 67.2 78.6 80.1 68.7 75.1 76.5 83.3 65.9 76.3 81.5 63.7 77.4 86.3 78.4 77.9 70.3 89.6 71.5 57.2 85.4 81.5 85.4 75.5 81.9 59.4 76.1 73.7 80.4 70.5 57.2	74.6 88.5 64.1 67.6 66.8 65.9 67.6 70.1 78.2 90.2 68.6 80.8 71.5 72 73.6 66.4 66.8 73.4 64.8 71.3 83.4 76.1 83.1 70.8 86.7 80.6 71.8 87.8 66.4 82.8 75 79.4 80.2 72.2 81.1 90.2 72.6 70.1 78.6 69.8 75.4 78 85 74.6 75.7 72.6 72.2 75 76.3 86.7 86.2 75.9 79.8 78.4

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...