The number of calls arriving at a switchboard from noon to 1 PM during the business days Monday through Friday is monitored for six weeks (i.e., 30 days). Let X be defined as the number of calls during that one-hour period. The relative frequency of calls was recorded and reported as
Value 5 6 8 9 10
Relative
Frequency 0.067 0.067 0.100 0.133 0.200
Value 11 12 13 14 15
Relative
Frequency 0.133 0.133 0.067 0.033 0.067
(a) Does the assumption of a Poisson distribution seem appropriate as a probability model for this data? Use a = 0.05.
(b) Calculate the P-value for this test.