1. The manufacturer of a certain brand of light bulbs claim that the variance of the lives of these bulbs in 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The variance of the lives of these bulbs and tested them. The variance 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 standard deviation of the lives of all such bulbs. b) Test at 5% significance level whether the variance of such bulbs is different from 4200 square hours.
1. The manufacturer of a certain brand of light bulbs claim that the variance of the lives of these bulbs in 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them. The variance of the lives of these bulbs and tested them. The variance 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 standard deviation of the lives of all such bulbs. b) Test at 5% significance level whether the variance of such bulbs is different from 4200 square hours.
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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Transcribed Image Text:1. The manufacturer of a certain brand of light bulbs claim that the variance
of the lives of these bulbs in 4200 square hours. A consumer agency
took a random sample of 25 such bulbs and tested them. The variance of
the lives of these bulbs and tested them. The variance 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 standard
deviation of the lives of all such bulbs.
b) Test at 5% significance level whether the variance of such bulbs is
different from 4200 square hours.
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