Nonconformities occur in glass bottles according to a Poisson distribution. A random sample of 100 bottles contains a total of 11 nonconformities.

(a) Develop a procedure for testing the hypothesis that the mean of a Poisson distribution lambda equals a specified value lambda0 Hint: Use the normal approximation to the Poisson.

(b) Use the results of part (a) to test the hypothesis that the mean occurrence rate of nonconformities is lambda=0.15. Use alpha=0.01.