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What is the critical value for a right-tailed t-test with a significance level of 5% and 10 degrees of freedom? -3.169 2.228 1.645 1.812 -1.812

What is the critical value for a right-tailed t-test with a significance level of 5% and 10 degrees of freedom? -3.169 2.228 1.645 1.812 -1.812

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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**Understanding Critical Values in t-Tests** In hypothesis testing, the critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis. For a t-test, the critical value depends on the significance level (α), degrees of freedom (df), and whether the test is one-tailed or two-tailed. ### Question What is the critical value for a right-tailed t-test with a significance level (α) of 5% and 10 degrees of freedom? ### Options 1. -3.169 2. 2.228 3. 1.645 4. 1.812 5. -1.812 ### Explanation To determine the correct critical value, follow these steps: 1. **Identify the significance level**: Here, the significance level (α) is 0.05, or 5%. 2. **Determine the degrees of freedom**: There are 10 degrees of freedom in this example. 3. **Use a t-distribution table**: You look up the critical value corresponding to a right-tail test with df = 10 and α = 0.05. From the t-distribution table, the critical value for a t-test with 10 degrees of freedom and a right-tail significance level of 0.05 is 1.812. ### Answer The correct critical value for the given right-tailed t-test is: 4. 1.812
Transcribed Image Text:**Understanding Critical Values in t-Tests** In hypothesis testing, the critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis. For a t-test, the critical value depends on the significance level (α), degrees of freedom (df), and whether the test is one-tailed or two-tailed. ### Question What is the critical value for a right-tailed t-test with a significance level (α) of 5% and 10 degrees of freedom? ### Options 1. -3.169 2. 2.228 3. 1.645 4. 1.812 5. -1.812 ### Explanation To determine the correct critical value, follow these steps: 1. **Identify the significance level**: Here, the significance level (α) is 0.05, or 5%. 2. **Determine the degrees of freedom**: There are 10 degrees of freedom in this example. 3. **Use a t-distribution table**: You look up the critical value corresponding to a right-tail test with df = 10 and α = 0.05. From the t-distribution table, the critical value for a t-test with 10 degrees of freedom and a right-tail significance level of 0.05 is 1.812. ### Answer The correct critical value for the given right-tailed t-test is: 4. 1.812
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