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Name: A company produces high quality and long lasting batteries for cars. T
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Description: A company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days with a standard deviation of 50 days under normal condition. A quality control officer randomly sele

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 company produces high quality and long lasting batteries for cars. The CEO of the company claims that the average lifespan of a battery is 270 days with a standard deviation of 50 days under normal condition. A quality control officer randomly selected 45 batteries from the production line and tested the longevity period of these batteries. It is found that the tested batteries had a mean life span of 260 days.

a) State the appropriate hypotheses to support the claim of the CEO that the average lifetime of a battery is 270 days.

b) Describe Type I and Type II errors in this context, and comment on the severity of each type of error.

c) Test the hypotheses stated in part (a) at a 1% level of significance, and comment on your findings.

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