James works in a factory producing cookies. The number of chocolate chips in a cookie has a Poisson distribution with pa

[answerhappygod]

James works in a factory producing cookies. The number
of chocolate chips in a cookie has a Poisson distribution with
parameter λ. James would like to test whether the average number of
chocolate chips per cookie is 3 or more.
(a) Given a sample of size n = 9 help James determine the form
of the best test for α = 0.05. [8]
(b) If the true average number of chocolate chips in a cookie is
5, estimate the power of the best test. [4]
(c) James randomly chose n = 9 cookies and counted the number of
chocolate chips in each cookie:
142322313
Using the sample above, what is your decision now?