**Finding the Critical Value \( t_c \) for Confidence Level \( c = 0.90 \) and Sample Size \( n = 21 \)**To calculate the critical value \( t_c \), use the t-distribution table provided. **Steps to Follow:**1. **Identify the Degrees of Freedom (d.f.):** - The degrees of freedom (d.f.) is calculated as the sample size minus one. For a sample size \( n = 21 \): \[ \text{d.f.} = n - 1 = 21 - 1 = 20 \]2. **Locate the Confidence Level Column:** - Use the t-distribution table and find the column for the confidence level \( c = 0.90 \). This corresponds to "Two tails, \( \alpha = 0.10 \)."3. **Find the Critical Value:** - With \( \text{d.f.} = 20 \) and \( \alpha = 0.10 \), locate the intersection of the correct row and column. - The critical value \( t_c \) is 1.325.4. **Round as Needed:** - Round \( t_c \) to the nearest thousandth as instructed.**t-Distribution Table Overview:**- The table lists degrees of freedom (d.f.) from 1 to 25 on the far left column.- It includes columns corresponding to different confidence levels and tail probabilities (\( \alpha \)).- Each cell in the table provides the critical value of \( t \) for the given d.f. and confidence level.This information is essential for conducting hypothesis tests and creating confidence intervals in statistics.

Given that, Sample size n = 21 Degree of freedom df = n-1 =21-1 = 20 Confidence level c = 0.90From the given table, If we observe for df = 20 and c = 0.90 the critical value tc = 1.725 So the answer is 1.725

Answered: Find the critical value to for 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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Need help on a and finding the t and p value
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Please answer all subparts. I will really upvote

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