The superintendent of a large school district, having once had a course in probability and statis...
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter μ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for μ.Number of absences012345678910Frequency147109753211[Hint: The mean and variance of a Poisson variable both equal μ, soZ = X − μμ/n has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement...
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day hasa Poisson distribution with parameter µ. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for µ.Number ofabsences 0 1 2 3 4 5 6 7 8 9 10Frequency 2 3 8 11 8 7 6 2 1 1 1[Hint: The mean and variance of a Poisson...
When the number of trials, n, is large, binomial probability tables may not be available. Furthermore, if a computer is not available, hand calculations will be tedious. As an alternative, the Poisson distribution can be used to approximate the binomial distribution when n is large and p is small. Here the mean of the Poisson distribution is taken to be μ = np. That is, when n is large and p is small, we can use the Poisson formula with...