Suppose that five normal populations have means μ1 = 175, μ2 = 190, μ3 = 160, μ4 = 200 and μ5 = 215. How many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at least 0.95? Use α = 0.01. Write a piece of code in R which computes n for different values of σ2. Then, plot n versus σ2 for σ2 ∈ [100, 1000].

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Answered: Suppose that five normal populations…

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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Suppose that five normal populations have means μ1 = 175, μ2 = 190, μ3 = 160, μ4 = 200 and μ5 = 215. How many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at least 0.95? Use α = 0.01. Write a piece of code in R which computes n for different values of σ2. Then, plot n versus σ2 for σ2 ∈ [100, 1000].

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