**Educational Content: Constructing Confidence Intervals for Population Variance**In this example, we are tasked with constructing confidence intervals for the population variance (σ²) and the population standard deviation (σ) using technology. It is important to assume that the sample is drawn from a normally distributed population.**Given Information:**- Confidence level (c): 0.99- Sample variance (s²): 8.41- Sample size (n): 30To construct the confidence interval for the population variance, follow these steps:1. **Identify the Chi-Square Distribution:** The degrees of freedom (df) are calculated as n - 1. In this case, df = 30 - 1 = 29. 2. **Determine the Chi-Square Critical Values:** Using a chi-square distribution table or technology, find the chi-square values that correspond to the confidence level of 0.99 with 29 degrees of freedom. These values represent the lower (χ²L) and upper (χ²U) critical points.3. **Calculate the Confidence Interval:** The confidence interval for the population variance is calculated using the formula: \[ \left(\frac{(n-1) \cdot s²}{χ²U}, \frac{(n-1) \cdot s²}{χ²L}\right) \]**Task:**Complete the calculation and fill in the blanks for the confidence interval, rounding to two decimal places as needed.The result will provide an interval within which we are 99% confident the true population variance lies.**Note:** This procedure assumes the sample data comes from a population that follows a normal distribution, a critical assumption when using chi-square distribution-based methods.

Given,sample size(n)=30sample variance(s2)=8.41degrees of…

Answered: Use technology to construct the…

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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Use technology to construct the confidence intervals for the population variance o2 and the population standard deviation o. Assume the sample is taken from a normally distributed population.