A researcher wishes to select a stratified random sample from a population with 3 strata as follows (with the usual notation): Н Sh Ch 1 300 30 25 2 500 40 49 3 200 20 36 If the budget is $5000 and the overheads $800, find the allocations for each stratum and estimate the variance of sample meanusing the allocation method. By using proportional allocation, estimate the variance and compare it to the variance from part (1). Determine the total cost from the allocation of part (2). Explain your result. (1) (2) (3)

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A researcher wishes to select a stratified random sample from a population with 3 strata
as follows (with the usual notation):
Н
Nh
Sn
Ch
1
300
30
25
500
40
49
3
200
20
36
If the budget is $5000 and the overheads $800, find the allocations for each
stratum and estimate the variance of sample meanusing the allocation method.
By using proportional allocation, estimate the variance and compare it to the
variance from part (1).
Determine the total cost from the allocation of part (2). Explain your result.
(1)
(2)
(3)
Transcribed Image Text:A researcher wishes to select a stratified random sample from a population with 3 strata as follows (with the usual notation): Н Nh Sn Ch 1 300 30 25 500 40 49 3 200 20 36 If the budget is $5000 and the overheads $800, find the allocations for each stratum and estimate the variance of sample meanusing the allocation method. By using proportional allocation, estimate the variance and compare it to the variance from part (1). Determine the total cost from the allocation of part (2). Explain your result. (1) (2) (3)
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