The error X in a measurement has a normal distribution with mean value 0 and variance 2 Consider testing H 0 2 2 versus Ha 2 3 based on a random sample X 1 , , X n of errors a b For n 10, find the value of c for the test in (a) that results in 05 c Show that a most powerful test rejects Ho when x c...

a To show that the most powerful test rejects Ho when the s ...

The error X in a measurement has a normal distribution with mean value 0 and variance

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The error X in a measurement has a normal distribution with mean value 0 and variance σ². Consider testing H₀: σ²= 2 versus Ha: σ²= 3 based on a random sample X₁, …, X_nof errors.

b. For n = 10, find the value of c for the test in (a) that results in α = .05.

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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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Question Posted: Aug 24, 2023 07:25 AM

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The error X in a measurement has a normal distribution with mean value 0 and variance

Question:

Show that a most powerful test rejects Ho when x ≥c.

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a To show that the most powerful test rejects Ho when the s...View the full answer

Modern Mathematical Statistics With Applications

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