Reference no: EM131619242

Question: Records pertaining to the monthly number of job-related injuries at an underground coalrnine were being studied by a federal agency. The values for the past 100 months were as follows:

Injuries per month              Frequency of occurence

           0                                       35

           1                                       40

           2                                       13

           3                                         6

           4                                         4

           5                                         1

           6                                         1

(a) Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Use the level of significance a= 0.05.

(b) Apply the chi-square test to these data to test the hypothesis that the distribution is Poisson with mean 1.0. Again let α = 0.05.

(c) What are the differences between parts (a) and (b), and when might each case arise?