**Finding the Positive Critical Value in Hypothesis Testing****Problem Statement:**Find the positive critical value for testing \( H_0: \mu = 14.22 \) versus \( H_a: \mu \neq 14.22 \) at a significance level of 0.1 for a sample of size 26. Round your final answer to three decimal places.**Solution Overview:**To find the critical value for this two-tailed test, we need to determine the t-value that corresponds to the significance level (alpha) of 0.1 with a sample size of 26.**Steps to Calculate:**1. **Determine Degrees of Freedom:** - Degrees of Freedom (df) = Sample Size - 1 = 26 - 1 = 252. **Identify Significance Level:** - Since this is a two-tailed test, the significance level is divided into two tails: - Alpha (\(\alpha\)) = 0.1, so each tail has an area of 0.05.3. **Use a t-Distribution Table or Calculator:** - Look up the critical t-value for df = 25 at 0.05 in the upper tail.4. **Round the Critical Value:** - Round the calculated critical value to three decimal places.This process will give the positive critical value needed to compare against the test statistic in hypothesis testing to determine whether to reject the null hypothesis \( H_0 \).

we have to find critical value H0 : μ = 14.22Ha : μ ≠ 14.22α = 0.1n = 26

Answered: Find the positive critical value for…

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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Find the positive critical value for testing Ho: = 14.22 versus Ha: 14.22 at significance level 0.1 for a sample of size 26. Round your final answer to three decimal places.