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Suppose we have a random sample of size n from a population represented by P(), i.e., Y1,,Yniid
P() In particular, the (population) mean and variance are E[Yi]= and V(Yi)=2, respectively, for all
observations i=1,,n. We would estimate the population mean by the sample average: Y:=n1i=1nYi
Choose the correct statement about Y : a. E[Y]= b. E[Y]=2 c. E[Y]> d. Y is always unbiased.

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Suppose we have a random sample of size n from a population .pdf

  • 1. Suppose we have a random sample of size n from a population represented by P(), i.e., Y1,,Yniid P() In particular, the (population) mean and variance are E[Yi]= and V(Yi)=2, respectively, for all observations i=1,,n. We would estimate the population mean by the sample average: Y:=n1i=1nYi Choose the correct statement about Y : a. E[Y]= b. E[Y]=2 c. E[Y]> d. Y is always unbiased.