Let X1, X2, , X8 be a random sample of size n 8 from a Poisson distribution with mean Reject the simple null hypothesis H0 0 5, and accept H1 0 5, if the observed sum 8i 1 xi 8 (a) Compute the significance level of the test (b) Find the power function K() of the test as a sum of Poisson probabiliti...

Let Then Y has a Poisson distribution with m ...

Let X1, X2, ... , X8 be a random sample of size n = 8 from a

Question:

Let X1, X2, ... , X8 be a random sample of size n = 8 from a Poisson with mean λ. Reject the simple null hypothesis H0: λ = 0.5, and accept H1: λ > 0.5, if the observed sum 8i=1 xi ≥ 8.
(a) Compute the significance level α of the test.
(b) Find the power function K(λ) of the test as a sum of Poisson probabilities.
(c) Using Table III in Appendix B, determine K(0.75), K(1), and K(1.25).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...