Unformatted text preview: 0.26 0.91 0.62 0.11 0.45 0.72 0.28 0.85 0.75 0.31 0.27 Conduct a - goodness-of-fit test to see if the data arises from the p.d.f. given in part (a). Use α = 0.05 and k = 3 equal-probability intervals. 5. Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by a federal agency. The values for the past 100 months were as follows: Injuries per Month Frequency of Occurrence 0 35 1 40 2 13 3 6 4 4 5 1 6 1 (a) Find the maximum likelihood estimator for the λ parameter of Poisson distribution. (b) Apply the chi-square test to these data to test the hypothesis that underlying distribution is Poisson. Use a level of significance α = 0.05. (c) Apply the chi-square test to these data to test the hypothesis that underlying distribution is Poisson with mean 1.0. Use a level of significance α = 0.05....
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- Spring '09
- Normal Distribution, Probability theory, maximum likelihood estimator, independent Bernoulli trials