Let X1, X2,..., X7 denote a random sample from a population having mean u and variance o.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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answer the second question.

Let X1, X2,... , X7 denote a random sample from a population having mean pu and variance o².
Which of the following is/are unbiased estimator/s of u? Check all possible answers
Select one or more:
A 2X1 – X6 + X4
O2
Ô, - X1 + X2+...+X7
O1
3X1 – X3 + X4
2
2(X1+ X2+. ..+X7)
Which of the estimators have a variance of ?
Select one:
O 02
Transcribed Image Text:Let X1, X2,... , X7 denote a random sample from a population having mean pu and variance o². Which of the following is/are unbiased estimator/s of u? Check all possible answers Select one or more: A 2X1 – X6 + X4 O2 Ô, - X1 + X2+...+X7 O1 3X1 – X3 + X4 2 2(X1+ X2+. ..+X7) Which of the estimators have a variance of ? Select one: O 02
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