Question

'The Poisson distribution is a discrete distribution that expresses the probability of a fixed number of events occurring in a fixed interval. For example, suppose we want to model the number of arrivals per minute at the campus dining hall during lunch. We observe the actual arrivals in 200 one- minute periods in week: The sample mean is 3.8 and the results are shown below: Arrivals (Frequency 10 32 Total 200 33 45 20 25 15 The probabilities based on a Poisson distribution with a mean of 3.8 are shown below: Arrivals 9 or more Probability .02 09 16 20 19 15 09 05 02 02 Perform a formal test to determine if the observed counts are compatible with the Poisson distribution with a mean of 3.8 and a significance level of .05. The P-value is very small; therefore the observed counts are compatible with the Poisson distribution The P-value is large; therefore the observed counts are compatible with the Poisson distribution. The P-value is very small; therefore the observed counts are not compatible with the Poisson distribution The P-value is large; therefore the observed counts are not compatible with the Poisson distribution'

          'The Poisson distribution is a discrete distribution that expresses the probability of a fixed number of events occurring in a fixed interval. For example, suppose we want to model the number of arrivals per minute at the campus dining hall during lunch. We observe the actual arrivals in 200 one- minute periods in week: The sample mean is 3.8 and the results are shown below:
Arrivals (Frequency 10 32
Total 200
33
45
20
25
15
The probabilities based on a Poisson distribution with a mean of 3.8 are shown below: Arrivals 9 or more Probability .02 09 16 20 19 15 09 05 02 02
Perform a formal test to determine if the observed counts are compatible with the Poisson distribution with a mean of 3.8 and a significance level of .05.
The P-value is very small; therefore the observed counts are compatible with the Poisson distribution
The P-value is large; therefore the observed counts are compatible with the Poisson distribution.
The P-value is very small; therefore the observed counts are not compatible with the Poisson distribution
The P-value is large; therefore the observed counts are not compatible with the Poisson distribution'

Added by Steven B.

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