**Using the Student's t Distribution Table for Critical Values****Objective:**To find the critical value or values for the given values of the significance level $\alpha$, sample size $n$, and alternate hypothesis $H_1$.**Step-by-Step Solution:**---**Part 1 of 4: [Content Redacted]**---**Part 2 of 4:**Given:- Significance level ($\alpha$) = 0.10- Sample size ($n$) = 22- Alternate hypothesis ($H_1$): $\mu < \mu_0$To find the critical t-value:Locate the corresponding t-value from the Student's t Distribution Table.- Calculated t-value: $ t = -1.323 $A progress bar showing the current completion status of the task is:- Part 1/4 is 25% complete.This basic indication assists users in tracking their progress through the parts of the task.---**How to Read Critical t-Values:**For further details on extracting t-values from the table, you may follow these steps:1. Determine degrees of freedom (df). For sample size ($n$) = 22, degrees of freedom (df) = ($n - 1$) = 21.2. Identify the appropriate significance level ($\alpha$) for a one-tailed test since $ H_1 $ specifies direction ($\mu < \mu_0$).3. Use the Student's t Distribution Table to find the corresponding t-value by matching df=21 and $\alpha = 0.10$.By completing these steps, we understand the statistical significance and the critical points related to our hypothesis testing.**Additional Notes:**Use this guide to interpret values and ensure accurate application in hypothesis testing scenarios. For complex cases, reference textbooks or consult tutorials for detailed methodologies.

Answered: Image /qna-images/answer/49134127-752b-45df-a987-57ebce313f6c.jpg

Answered: When a-0.10 , n=22, and H:u

Math

Statistics

When a-0.10 , n=22, and H:u

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

**Using the Student's t Distribution Table for Critical Values**

**Objective:**
To find the critical value or values for the given values of the significance level $\alpha$, sample size $n$, and alternate hypothesis $H_1$.

**Step-by-Step Solution:**

---

**Part 1 of 4: [Content Redacted]**

---

**Part 2 of 4:**

Given:

- Significance level ($\alpha$) = 0.10
- Sample size ($n$) = 22
- Alternate hypothesis ($H_1$): $\mu < \mu_0$

To find the critical t-value:

Locate the corresponding t-value from the Student's t Distribution Table.

- Calculated t-value: $ t = -1.323 $

A progress bar showing the current completion status of the task is:

- Part 1/4 is 25% complete.

This basic indication assists users in tracking their progress through the parts of the task.

---

**How to Read Critical t-Values:**

For further details on extracting t-values from the table, you may follow these steps:

1. Determine degrees of freedom (df). For sample size ($n$) = 22, degrees of freedom (df) = ($n - 1$) = 21.
2. Identify the appropriate significance level ($\alpha$) for a one-tailed test since $ H_1 $ specifies direction ($\mu < \mu_0$).
3. Use the Student's t Distribution Table to find the corresponding t-value by matching df=21 and $\alpha = 0.10$.

By completing these steps, we understand the statistical significance and the critical points related to our hypothesis testing.

**Additional Notes:**

Use this guide to interpret values and ensure accurate application in hypothesis testing scenarios. For complex cases, reference textbooks or consult tutorials for detailed methodologies.

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