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2 Find the critical values, x ī - a/2 and x a2 , for 99% confidence and n 10. 2.15 and 25.188 1.73 and 23.590 2.08 and 21.666 2.55 and 23.209

2 Find the critical values, x ī - a/2 and x a2 , for 99% confidence and n 10. 2.15 and 25.188 1.73 and 23.590 2.08 and 21.666 2.55 and 23.209

MATLAB: An Introduction with Applications
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 critical values, \( \chi^2_{1-\alpha/2} \) and \( \chi^2_{\alpha/2} \), for 99% confidence and \( n = 10 \). **Options:** - \( \bigcirc \) 2.15 and 25.188 - \( \bigcirc \) 1.73 and 23.590 - \( \bigcirc \) 2.08 and 21.666 - \( \bigcirc \) 2.55 and 23.209 **Explanation:** The question requires determining the critical values from the chi-square distribution for a given confidence level and sample size. The critical values correspond to the points in the distribution beyond which lie 0.5% of the data in each tail (since \( \alpha = 0.01 \)). These values are used in statistical hypothesis testing or constructing confidence intervals, specifically when dealing with variance and standard deviation using chi-square tests.
Transcribed Image Text:**Question:** Find the critical values, \( \chi^2_{1-\alpha/2} \) and \( \chi^2_{\alpha/2} \), for 99% confidence and \( n = 10 \). **Options:** - \( \bigcirc \) 2.15 and 25.188 - \( \bigcirc \) 1.73 and 23.590 - \( \bigcirc \) 2.08 and 21.666 - \( \bigcirc \) 2.55 and 23.209 **Explanation:** The question requires determining the critical values from the chi-square distribution for a given confidence level and sample size. The critical values correspond to the points in the distribution beyond which lie 0.5% of the data in each tail (since \( \alpha = 0.01 \)). These values are used in statistical hypothesis testing or constructing confidence intervals, specifically when dealing with variance and standard deviation using chi-square tests.
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