Question

The number of Unitrans buses passing through the bus station was recorded for 100 three-minute time periods:

Number of Buses	Count
0	10
1	35
2	35
3	20

(a) Use a goodness of fit test with α = 0.05 to assess whether a Poisson distribution is a good fit for the data.

(b) Suppose that we expect the ratios of the above cells to be 1:2:2:1, respectively. Use a goodness of fit test with α = 0.05 to assess whether these expected ratios are consistent with the data.

Answer 1