Consider a small population of N=4 units, labelled 1,2,3,4 with respective y values 10,17,13,20.Consider a SRS design with a sample size n=2 with replacement but distinct units. a) Give the values of the population parameters μ, and ² b) List every possible sample of size n=2. c) For each sample, compute the sample mean and the sample median me d) Determine whether the sample mean is unbiased for population mean or not. e) Is E(²)=²? Justify your answer. f) Is E(F)=r? Justify your answer.

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Chapter1: Combinatorial Analysis
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Consider a small population of N=4 units, labelled 1,2,3,4 with respective y
values 10,17,13,20.Consider a SRS design with a sample size n=2 with replacement but
distinct units.
a) Give the values of the population parameters, and o²
b) List every possible sample of size n = 2.
c) For each sample, compute the sample mean y and the sample median me
d) Determine whether the sample mean is unbiased for population mean or not.
e) Is E(S²)=o²? Justify your answer.
f) Is E() = T? Justify your answer.
Transcribed Image Text:Consider a small population of N=4 units, labelled 1,2,3,4 with respective y values 10,17,13,20.Consider a SRS design with a sample size n=2 with replacement but distinct units. a) Give the values of the population parameters, and o² b) List every possible sample of size n = 2. c) For each sample, compute the sample mean y and the sample median me d) Determine whether the sample mean is unbiased for population mean or not. e) Is E(S²)=o²? Justify your answer. f) Is E() = T? Justify your answer.
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