Modeling the proliferation of E. coli in farm animals is critical to a safe food supply. The

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Modeling the proliferation of E. coli in farm animals is critical to a safe food supply. The article “Ecological and Genetic Determinants of Plasmid Distribution in E. coli” (Environ. Biol. 2016: 4230–4239) describes a study of bacterial replication in grazing cattle with low frequencies of antibiotic-resistant genes. The following data is provided on X = number of replicons for 527 bacterial isolates:

a. The article’s authors examined whether X follows a Poisson distribution. Use the data to determine the maximum likelihood estimate of the parameter μ.
b. Perform a χtest at the .05 significance level by treating the last category as “4” so that the hypothesized probabilities sum to 1. Refer back to Example 13.9.


Example 13.9


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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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