Let X1, X2 denote a random sample from a population having a mean mu and a variance sigma squared. Consider the following estimator of mu. ê, = X, + 2X2 • Is this estimator Biased or unbiased? biased • Suppose the mu of the population is equal to 2 and the variance of the population is =1. • What is the value of bias? 2mu • What is the MSE of this estimator? 0.5 Round to 1 decimal place Answer 1: biased Answer 2: 2mu 4 Answer 3:

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Let X1, X2 denote a random sample from a population having a mean mu and a
variance sigma squared. Consider the following estimator of mu.
ê, = X, + 2X2
%D
• Is this estimator Biased or unbiased? biased
• Suppose the mu of the population is equal to 2 and the variance of the population
is =1.
• What is the value of bias? 2mu
• What is the MSE of this estimator? 0.5
Round to 1 decimal place
Answer 1:
Correct!
biased
Answer 2:
You Answered
2mu
Correct Answer
4
Answer 3:
You Answered
0.5
Correct Answer
21
Transcribed Image Text:Let X1, X2 denote a random sample from a population having a mean mu and a variance sigma squared. Consider the following estimator of mu. ê, = X, + 2X2 %D • Is this estimator Biased or unbiased? biased • Suppose the mu of the population is equal to 2 and the variance of the population is =1. • What is the value of bias? 2mu • What is the MSE of this estimator? 0.5 Round to 1 decimal place Answer 1: Correct! biased Answer 2: You Answered 2mu Correct Answer 4 Answer 3: You Answered 0.5 Correct Answer 21
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