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For a stratified sampling from a population with three strata and the variable of interest Y:...

For a stratified sampling from a population with three strata and the variable of interest Y:

Stratum 1: Stratum Size = N1, Sample Size = n1 = 20, Sample Mean of Y values = 50.

Stratum 2: Stratum Size = N2, Sample Size = n2 = 10, Sample Mean of Y values = 30.

Stratum 3: Stratum Size = N3, Sample Size = n3 = 25, Sample Mean of Y values = 40.

The population size is N = N1 + N2 + N3 . The weights are N1/N = 0.45, N2/N = 0.20 and N3/N = 0.35.

Calculate the numerical value of the estimate of Population Mean based on the above sample data information.

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