Answered: Find the 90% confidence interval for…

Find the 90% confidence interval for the standard deviation of the lengths of pipes if a sample of 22 pipes has a standard deviation of 10.6 inches.

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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Question

Find the 90% confidence interval for the standard deviation of the lengths of pipes if a sample of 22 pipes has a standard deviation of 10.6 inches.

Expert Solution

Step 1

given data

s = 10.2

n = 22

90% CI for $σ$ = ?

$α = 1 - 0.90 = 0.10 df = n - 1 = 21 {χ^{2}}_{L} = {χ^{2}}_{1 - \frac{α}{2}, n - 1} = 11.5913 {χ^{2}}_{R} = {χ^{2}}_{\frac{α}{2}, n - 1} = 32.6706$

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