36. Assume observations X1, X2, . . . , Xn, . . . from the Poisson distribution with mean m.

a. Apply the SPRT to test H0: m  m0 against Ha:

m  m1, where m0  m1. Obtain linear bounds similar to Equation (14.11), except that takes the place of k.

b. The following observations are monthly accident totals in a factory workplace.

11 7 9 5 10 11 16 9 7 3 5 5 Apply part

(a) with m0  5, m1  10, a  .01, and b  .05 to do the test. (Hint: The sums and the linear boundaries can be obtained from software.

For example, the partial sums function in MINITAB can be used for the sum.)