Use technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c = 0.98, s2 = 11.56, n= 27

Use technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c = 0.98, s2 = 11.56, n= 27

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

Use technology to construct the confidence intervals for the population variance $\sigma^2$ and the population standard deviation $\sigma$. Assume the sample is taken from a normally distributed population.

\[ c = 0.98, \, s^2 = 11.56, \, n = 27 \]

The confidence interval for the population variance is $\boxed{\phantom{00} \quad}$
(Round to two decimal places as needed.)

Expert Solution

Step 1

$Given c = 0.98 s^{2} = 11.56 n = 27 α = 1 - 0.98 = 0.02 \frac{α}{2} = 0.01 1 - \frac{α}{2} = 0.99 Degrees of freedom (df) = n - 1 Degrees of freedom (df) = 27 - 1 Degrees of freedom (df) = 26$

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