1.22 Suppose that y1, y2,..., yn are independent from a Poisson distribution.

a. Obtain the likelihood function. Show that the ML estimator û = ӯ.

b. Construct a large-sample test statistic for Ho: μ = μο using (i) the Wald method,

(ii) the score method, and (iii) the likelihood-ratio method.

c. Explain how to construct a large-sample confidence interval for u using (i) the Wald method, (ii) the score method, and (iii) the likelihood-ratio method.