A confidence interval for is said to be unbiased if the expected value of the interval

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A confidence interval for θ is said to be unbiased if the expected value of the interval midpoint is equal to θ. 

a. Show that the small-sample confidence interval for μ,

is unbiased.
b. Show that the confidence interval for σ2,    

is biased.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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