A service station has six gas pumps. When no vehicles are at the station, let p i

Question:

A service station has six gas pumps. When no vehicles are at the station, let p_idenote the probability that the next vehicle will select pump i (i = 1,2,…, 6). Based on a sample of

a. Show that the likelihood ratio test rejects H₀ if either X ≥ c or X ≤ n − c.

b. Let n = 10 and c = 9. Determine the power of the test both when H₀is true and also when p₂ = p₄ = p₆ = 1/10; p₁=p₃= p₅= 7/30:

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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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A service station has six gas pumps. When no vehicles are at the station, let p i

Question:

= P6 size n, we wish to test Ho: P1 = versus the alternative Ha: P1 = P3 = P5, P2 = P4 = P6 (note that Ha is not a simple hypothesis). Let X be the number of customers in the sample that select an even- numbered pump.

Step by Step Answer:

To perform a likelihood ratio test for this hypothesis testing problem well first derive the likelihood ratio statistic and then determine the critical values and power of the test Given Null hypothes...View the full answer

Modern Mathematical Statistics With Applications

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