Consider the data on the number of bacterial colonies per field of a microscope using milk film samples. Number of 0 2 colonies Frequency 56 104 80 62 42 27 9 data: obs X-squared = 134.8, df = 10, p-value < 2.2e-16 Ho: The data 7 9 Ha: The data Given the R software output below, test at 5% level of significance whether the data follows the Poisson probability distribution with λ = 2.4125 Chi-squared test for given probabilities 6 3 the Poisson distribution with λ = 2.4125 we the Poisson distribution with λ = 2.4125 2 Decision Rule: Reject Ho if p-value: Decision: Since Ho. Conclusion: At 5% level of significance, we can say that the number of bacterial colonies per field the Poisson distribution with λ = 2.4125 Otherwise, fail to reject Ho.

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