The Tampa Bay Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.

Teachers: 845, 826, 827, 875, 784, 809, 802, 820, 829, 830, 842, 832.

Nurses: 841, 890, 821, 771, 850, 859, 825, 829.

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the .01 significance level. What is the p-value.