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
icon
Related questions
Topic Video
Question
### 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.
Transcribed Image Text:### 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman