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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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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