Answered: A consumer group plans a comparative…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A consumer group plans a comparative study of the mean life of four different brands of batteries. Ten batteries of each brand will be randomly selected and the time until the energy level falls below a pre-specified level is measured.

a) Which of the following is the appropriate alternative hypothesis for the null hypothesis: H₀: μ_a = μ_b = μ_c = μ_d? (In this problem, μ_a = mean time of Brand A, μ_b = mean time of Brand B, etc.)

H_a: none of the means are equal

H_a: μ_a ≠ μ_b ≠ μ_c ≠ μ_d

H_a: μ_a ≠ μ_b, μ_a ≠ μ_c, μ_a ≠ μ_d, μ_b ≠ μ_c, μ_b ≠ μ_d, μ_c ≠ μ_d

H_a: at least one of the means is different

b)In order to analyze the data with ANOVA, we need to satisfy the condition of randomization. How do we know that this condition has been met?

-One SRS of batteries is selected from a collection of batteries of all brands.

-The batteries are randomly allocated to the four brands.

-Separate random samples of batteries are selected from each brand.

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