A sampler proposes to take a stratified random sample. He expects that his field costs will...

 

Transcribed Image Text:

A sampler proposes to take a stratified random sample. He expects that his field costs will be of the form c,n, . His advance estimates of relevant quantities for the two strata are as follows. Stratum W, 4. $4 $9 1 0.4 10 2 0.6 20 a) Find the values of n, In and n, In that minimize the total field cost for a given value of V(ỹ„). b) Find the sample size required, under this optimum allocation, make V(y,) = 1. Ignore the finite population correction. c) How much will the total field cost be? A sampler proposes to take a stratified random sample. He expects that his field costs will be of the form c,n, . His advance estimates of relevant quantities for the two strata are as follows. Stratum W, 4. $4 $9 1 0.4 10 2 0.6 20 a) Find the values of n, In and n, In that minimize the total field cost for a given value of V(ỹ„). b) Find the sample size required, under this optimum allocation, make V(y,) = 1. Ignore the finite population correction. c) How much will the total field cost be?

Answer rating: 100% (QA)

Solutio... View the full answer