Question
I have part a. I need part b
now many customers will he need ? For this question assume ?-6.1 minutes. EXWEC?SE 5 In a study done at the National Institute of Science and Technology (Steel et al. 1980), asbestos flbers on flters were counted as part of a project to develop measurement standards for asbestos concentration. Asbestos dissolved in water was spread on a filter, and punches of 3-mm diameter were taken from the Glter and mounted on a transmission electron microscope. An operator counted the number of fibers in each of 23 grid squares, yielding the following counts: 31 29 19 18 31 28 34 27 34 30 16 18 26 27 27 18 24 22 28 24 21 17 24 Assume that the Poisson distribution with unknown parameter A would be a plausible model for describing the variablity from grid square to grid square in this situation. a. Use the method of maximum likelihood to estimate the parameter ?. b. Use the asymptotic properties of the maximium likelihood estimates to construct a 95% confidence interval for. As a reminder, for large samples the distribution of 6 is appraximately standard normal, where I() is the Fisher in form ation. e- o
Explanation / Answer
> x<-c(31,29,19,18,31,28,34,27,34,30,16,18,26,27,27,18,24,22,28,24,21,17,24)
> x
[1] 31 29 19 18 31 28 34 27 34 30 16 18 26 27 27 18 24 22 28
[20] 24 21 17 24
> mean(x)
[1] 24.91304 it is the mle of labda .