### Problem Statement:Find the P-value for the following values of the test statistic $ t $, sample size $ n $, and alternate hypothesis $ H_1 $. Use the [Critical Values for the Student's t Distribution Table](link-to-table) and specify that $ P $ is between two values.### Problem Details:**Part 0 / 4*****Part 1 of 4***When $ t = -1.331 $, $ n = 21 $, and $ H_1: \mu \neq \mu_0 $\[ \boxed{} < P\text{-value} < \boxed{} \]### Explanation:In this problem, you are required to calculate the P-value for a given t-statistic value and a specified sample size. The test is two-tailed, as indicated by the alternative hypothesis $ H_1 $, which states that the population mean $ \mu $ is not equal to the hypothesized mean $ \mu_0 $.To find the P-value:1. **Identify the Degrees of Freedom (df):** - Degrees of freedom $ df = n - 1 = 21 - 1 = 20 $.2. **Determine the Critical Values:** - Using the t-distribution table, find the critical t-values that correspond to the given $ t $-statistic and the degrees of freedom. As the t-distribution table typically provides cumulative probabilities, you may need to interpolate if the precise value is not listed.Insert the determined critical values into the boxes to specify the range within which the P-value falls.

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Find the P-value for the following values of the test statistic t, sample size n, and alternate hypothesis H,. Use the Critical Values for the Student's t Distribution Table and specify that P is between two values. Part: 0/ 4 Part 1 of 4 When t= – 1.331 , n=21, and H:u#Ho: do < P-value <

Find the P-value for the following values of the test statistic t, sample size n, and alternate hypothesis H,. Use the Critical Values for the Student's t Distribution Table and specify that P is between two values. Part: 0/ 4 Part 1 of 4 When t= – 1.331 , n=21, and H:u#Ho: do < P-value <

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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### Problem Statement:

Find the P-value for the following values of the test statistic $ t $, sample size $ n $, and alternate hypothesis $ H_1 $. Use the [Critical Values for the Student's t Distribution Table](link-to-table) and specify that $ P $ is between two values.

### Problem Details:

**Part 0 / 4**

***Part 1 of 4***

When $ t = -1.331 $, $ n = 21 $, and $ H_1: \mu \neq \mu_0 $

\[ \boxed{} < P\text{-value} < \boxed{} \]

### Explanation:

In this problem, you are required to calculate the P-value for a given t-statistic value and a specified sample size. The test is two-tailed, as indicated by the alternative hypothesis $ H_1 $, which states that the population mean $ \mu $ is not equal to the hypothesized mean $ \mu_0 $.

To find the P-value:

1. **Identify the Degrees of Freedom (df):**
- Degrees of freedom $ df = n - 1 = 21 - 1 = 20 $.

2. **Determine the Critical Values:**
- Using the t-distribution table, find the critical t-values that correspond to the given $ t $-statistic and the degrees of freedom. As the t-distribution table typically provides cumulative probabilities, you may need to interpolate if the precise value is not listed.

Insert the determined critical values into the boxes to specify the range within which the P-value falls.

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