Based on the sample data in the following frequency distribution, conduct a test to determine whether the population from which the sample data were selected is Poisson distributed with mean equal to 6. Test using a = 0.05.

x Frequency x Frequency 2 or less 7 9 53 3 29 10 35 4 26 11 28 5 52 12 18 6 77 13 13 7 77 14 or more 13 8 72 Total 500