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

Data on the number of occurrences per time period and observed
frequencies follow. Use α = .05 to perform the goodness of fit test
to see whether the data fit a Poisson distribution. Calculate the
the value of test statistic. Use the "Number of Occurences" as the
categories.
Number of occurrences
numbers
of frequency
0
39
1
30
2
30
3
18
4
3
a) 8.334
b) 1.30
c) 3.142
d)...

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0.2
1.4
1.1
0.6
0.6
1.7
0.1
0.6
0.0
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