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Let Y1, Y2, . . . , Yn denote a random sample from Poisson distribution with the mean %u03BB and define

\(Wn = (Y-%u03BB) / \sqrt{Y/n}\)

a. Describe that the distribution of Wn converges to a standard normal distribution.

b. Employ Wn and the result in part (a) to derive the formula for an approximate 95% confidence interval for %u03BB.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91126537

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