Poisson distribution with parameter

Assignment Help Basic Statistics

Reference no: EM1313470

Type I error and Type II error:

Let X₁, X₂, X₃, X₄ be a random sample from a Poisson distribution with parameter λ and let Y = X₁ + X₂ + X₃ + X₄. You decide to test λ = 1.60 versus λ < 1.60 using following decision rule:

Reject λ = 1.60 in favor of λ < 1.60 when Y ≤ 2.

a. Find the Type I error, α.

b. Find the Type II error, β, when λ = 0.70.

Reference no: EM1313470

Questions Cloud

The distance between the two charges of the dipole : Assume you are the fish. You get up every morning and weigh yourself (in water), and find you weigh 0.42 N. You, being a boxfish, are a box measuring 4.164 cm per side. You see a poor, hungry fisherman, and decide to be his dinner. You hook yourself,..

Finding marginal propensity to consume : What is the marginal propensity to consume. What is the slope of the consumption function (you should give a numerical answer, not a formula)?

Industry in long-run competitive equilibrium : Illustrate what are the firms ATC per unit at these three levels of production. If every firm in this industry has the similar cost structure, is the industry in long-run competitive equilibrium.

Computation of total interest on the investment : Computation of total interest on the investment and how much total interest income would the money market lender receive

Poisson distribution with parameter : Let X 1 , X 2 , X 3 , X 4 be a random sample from a Poisson distribution with parameter λ and let Y = X 1 + X 2 + X 3 + X 4 . You decide to test λ = 1.60 versus λ

Creating raw score predictions on criterion variable : Create raw score predictions on criterion variable for persons with Z scores on predictor value of -2,-1,0,+1,+2.

What are his weight and mass on earth : As part of a safety investigation, two 1200 {rm kg} cars traveling at 24 {rm m/s} are crashed into different barriers. Find the average forces exerted on (a) car that hits a line of water barrels and takes 1.80 {rm s} to stop, and (b) car that hits a..

Net income for financial statement : Evaluation of owners equity and net income for financial statement - Show the effect of this entry on current-year net income and the balance in the owners' equity account at year-end

Actual rate of unemployment relative to the natural rate : Contraction GAP, Illustrate what does a Contraction Gap imply about the actual rate of unemployment relative to the natural rate.

User Account

All Pages