Let X denote the number of flaws observed on a large coil of galvanized steel. Seventy-five coils are inspected and the following data were observed for the values of X: Values 1 2 3 4 5 6 7 8
Observed Frequency 1 1 1 8 1 3 1 1 1 2 1 0 9

Required:
a. Does the assumption of a Poisson distribution with a mean of 6.0 seem appropriate as a probability model for these data? Use α=0.01
b. Calculate the P-value for this test.