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Find the critical value z2 that corresponds to the given confidence level. 90%

Find the critical value z2 that corresponds to the given confidence level. 90%

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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Round to two decimal places as needed 

**Finding the Critical Value for a Given Confidence Level** To determine the critical value \( z_{\alpha/2} \) associated with a 90% confidence level: 1. **Confidence Level**: 90% 2. **Critical Value**: \( z_{\alpha/2} \) is the point on the standard normal distribution that separates the most extreme 5% in each tail (since \( \alpha = 1 - 0.90 = 0.10\) and \( \alpha/2 = 0.05 \)). In practice, you can use a standard normal (Z) distribution table or a statistical software package to find that the critical value \( z_{0.05} \approx 1.645 \). This value indicates that for a 90% confidence interval, the middle 90% of the distribution is centered around the mean, and the remaining 10% is split equally between the two tails.
Transcribed Image Text:**Finding the Critical Value for a Given Confidence Level** To determine the critical value \( z_{\alpha/2} \) associated with a 90% confidence level: 1. **Confidence Level**: 90% 2. **Critical Value**: \( z_{\alpha/2} \) is the point on the standard normal distribution that separates the most extreme 5% in each tail (since \( \alpha = 1 - 0.90 = 0.10\) and \( \alpha/2 = 0.05 \)). In practice, you can use a standard normal (Z) distribution table or a statistical software package to find that the critical value \( z_{0.05} \approx 1.645 \). This value indicates that for a 90% confidence interval, the middle 90% of the distribution is centered around the mean, and the remaining 10% is split equally between the two tails.
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