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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd70ef16-440a-4fd1-b5b6-bf1d1da75ce5%2F8c481e1d-a3e1-411e-910b-caa849bb7c30%2F9k1tfq3_processed.jpeg&w=3840&q=75)
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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