A epidemiologist is concerned that Philadelphia is seeing an alarming increase in tuberculosis (TB) compared to the national average. He obtains an average TB diagnosis rate in the area as M=2.7 new cases per day when pooling from 14 different hospitals (n=14) with a standard deviation of SD=1.11. The national average is =1.2 new cases per day. Run a one sample t-test to test if this epidemiologist's hypothesis is correct. Please state the null hypothesis, research hypothesis, t obtained, t critical, df,, and conclusions of the test in lay terms. Be sure to outline all formulas used.