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11.37 The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The vari- ance of the lives of these bulbs was found to be 5200 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. a. Make the 99% confidence intervals for the variance and stand- ard deviation of the lives of all such bulbs. b. Test at a 5% significance level whether the variance of such bulbs is different from 4200 square hours

11.37 The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The vari- ance of the lives of these bulbs was found to be 5200 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. a. Make the 99% confidence intervals for the variance and stand- ard deviation of the lives of all such bulbs. b. Test at a 5% significance level whether the variance of such bulbs is different from 4200 square hours

MATLAB: An Introduction with Applications
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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11.37 The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The vari- ance of the lives of these bulbs was found to be 5200 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. a. Make the 99% confidence intervals for the variance and stand- ard deviation of the lives of all such bulbs. b. Test at a 5% significance level whether the variance of such bulbs is different from 4200 square hours
Transcribed Image Text:11.37 The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The vari- ance of the lives of these bulbs was found to be 5200 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. a. Make the 99% confidence intervals for the variance and stand- ard deviation of the lives of all such bulbs. b. Test at a 5% significance level whether the variance of such bulbs is different from 4200 square hours
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