Applet Exercise In Exercise 16.11, we found the posterior density for , the mean of a

Chapter 16, Problem 16.19

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Applet Exercise In Exercise 16.11, we found the posterior density for , the mean of a Poissondistributed population. Assuming a sample of size n and a conjugate gamma (, ) prior for , we showed that the posterior density of | yi is gamma with parameters = yi + and = /(n + 1). If a sample of size n = 25 is such that yi = 174 and the prior parameters were ( = 2, = 3), use the applet Gamma Probabilities and Quantiles to find a 95% credible interval for .

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