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Name: The makers of Duracell batteries want to demonstrate that their size A
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Description: The makers of Duracell batteries want to demonstrate that their size AA battery lasts longer than Duracell’s main competitor, the Energizer. Two independent random samples of 100 batteries of each kind are selected. The sample average lives for Durac

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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The makers of Duracell batteries want to demonstrate that their size AA battery lasts longer than Duracell’s main competitor, the Energizer. Two independent random samples of 100 batteries of each kind are selected. The sample average lives for Duracell and Energizer batteries are found to be X ̄1 = 308 minutes and X ̄2 = 254 minutes with S1 = 84 minutes
and S2 = 67 minutes. Is there evidence to substantiate Duracell’s claim that its batterieslast, on an average, longer than Energizer of the same size? Find 95% confidence intervaland make your decision. Given the decision from CI, can you write the p-value range incomparison with α = 0.025?

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