Let X 1 , X 2 , X 3 , X 4 , X 5 be a

Question:

Let X₁, X₂, X₃, X₄, X₅ be a random sample from a N(μ, 1) distribution, where μ is unknown. Suppose that we have observed the following values

5.45, 4.23, 7.22, 6.94, 5.98

We would like to decide between Ho: = = 5, H: + 5.

a. Define a test statistic to test the hypotheses and draw a conclusion assuming α = 0.05.

b. Find a 95% confidence interval around X̅. Is μ₀ included in the interval? How does the exclusion of μ₀ in the interval relate to the hypotheses we are testing?

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Oct 27, 2023 01:45 AM

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Let X 1 , X 2 , X 3 , X 4 , X 5 be a

Question:

Ho: μ = μ = 5, H: μ + 5.

Step by Step Answer:

a Test Statistic and Conclusion For testing the hypotheses Ho against H we can use a onesample z tes...View the full answer

Introduction To Probability Statistics And Random Processes

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