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Example 3: If x1, X2 , ... , Xn is a random sample from a normal population .2 N(µ,1), show that t=- E x is an unbiased estimator of u +1.

Example 3: If x1, X2 , ... , Xn is a random sample from a normal population .2 N(µ,1), show that t=- E x is an unbiased estimator of u +1.

Calculus For The Life Sciences
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Prove the following

Example 3: If x1 , X2 , .… , Xn x, is a random sample from a normal population 1 E x is an unbiased estimator of u? + 1. 2 N(µ,1), show that t=- i = 1
Transcribed Image Text:Example 3: If x1 , X2 , .… , Xn x, is a random sample from a normal population 1 E x is an unbiased estimator of u? + 1. 2 N(µ,1), show that t=- i = 1
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