Results 1 to 2 of 2

Math Help - Optimal allocation problem

  1. #1
    Newbie
    Joined
    Apr 2011
    Posts
    6

    Optimal allocation problem

    A population consists of two strata, H and L, of sizes 100,000 and 500,000 and standard deviations 20 and 12, respectively. A stratified sample of size 100 is to be taken.
    a. Find the optimal allocation for estimating the population mean.
    b. Find the optimal allocation for estimating the difference of the means of the strata,
    mu_H - mu_L


    Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: Optimal allocation problem

    Quote Originally Posted by ohm713 View Post
    A population consists of two strata, H and L, of sizes 100,000 and 500,000 and standard deviations 20 and 12, respectively. A stratified sample of size 100 is to be taken.
    a. Find the optimal allocation for estimating the population mean.
    b. Find the optimal allocation for estimating the difference of the means of the strata,
    mu_H - mu_L


    Thank you!
    Let N denote the sample size from strata H and 100-N the sample size from strata L.

    a. Now what is your estimator for the population mean? What is its variance?

    b. What is the variance of your estimate of the difference of strata means?

    (you find N which minimises these variances)

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Resource Allocation Problem
    Posted in the Business Math Forum
    Replies: 1
    Last Post: July 10th 2011, 05:40 PM
  2. Optimal control problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 29th 2010, 05:20 PM
  3. Transportation problem - Optimal solution
    Posted in the Business Math Forum
    Replies: 3
    Last Post: April 10th 2010, 10:25 PM
  4. Pareto Optimal Allocation
    Posted in the Business Math Forum
    Replies: 0
    Last Post: March 23rd 2010, 06:53 PM
  5. Percent Allocation
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 29th 2009, 05:10 PM

Search Tags


/mathhelpforum @mathhelpforum