9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with unknown mean H, -0

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.
Chapter1: Functions
Section1.2: The Least Square Line
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9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with
unknown mean u,
-0 < u<0, where the variance o is a known positive
number. Show that both à =i and ê, = 2X, + X, +5X, are unbiased estimators for
H.
Transcribed Image Text:9. (8') Let X,, X,, X, be a sample of size n=3 from a distribution with unknown mean u, -0 < u<0, where the variance o is a known positive number. Show that both à =i and ê, = 2X, + X, +5X, are unbiased estimators for H.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,