Find the critical value t, for the confidence level c = 0.80 and sample size n=26. Click the icon to view the t-distribution table. t-Distribution Table - X (Round to the nearest thousandth as needed.) a.T. TWO tais, a U.20 U.1U U.03 U.U2 U.UT 63657 a.1. 3.078 6.314 12.706 31.821

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
icon
Concept explainers
Question
**Transcription for Educational Website:**

---

**Exercise 6.2.1:**

Find the critical value \( t_c \) for the confidence level \( c = 0.80 \) and sample size \( n = 26 \).

To find the critical value, use the t-distribution table provided. 

**Instructions:**
1. Click the icon to view the t-distribution table.
2. Insert the value \( t_c \) in the provided box. 
3. Round to the nearest thousandth as needed.

---

**Explanation of t-Distribution Table:**

The table displayed is a t-distribution table, which is used to find the critical values for different confidence levels and degrees of freedom. Degrees of freedom (df) are calculated as the sample size minus one (n-1). In this example, for a sample size of \( n = 26 \), the degrees of freedom would be \( 26 - 1 = 25 \).

The table shows different columns for various alpha levels (significance) for one-tail and two-tail tests (e.g., 0.20, 0.10, 0.05, etc.). 

- **Degrees of Freedom (df):** The first column lists the degrees of freedom.
- **Critical Values for Two Tails:** Subsequent columns list critical values corresponding to different alpha levels.

To find the critical value for 80% confidence level:
1. Locate the row for df = 25.
2. Follow the row across to the column under two-tail, \( \alpha = 0.20 \) (since 80% confidence leaves 20% in the tails, 10% in each tail for a two-tailed test).

For df = 25 and \( \alpha = 0.20 \), the critical value \( t_c \approx 1.316 \).

Enter your answer in the provided box and click "Check Answer" to proceed.

**End of Exercise.**
Transcribed Image Text:**Transcription for Educational Website:** --- **Exercise 6.2.1:** Find the critical value \( t_c \) for the confidence level \( c = 0.80 \) and sample size \( n = 26 \). To find the critical value, use the t-distribution table provided. **Instructions:** 1. Click the icon to view the t-distribution table. 2. Insert the value \( t_c \) in the provided box. 3. Round to the nearest thousandth as needed. --- **Explanation of t-Distribution Table:** The table displayed is a t-distribution table, which is used to find the critical values for different confidence levels and degrees of freedom. Degrees of freedom (df) are calculated as the sample size minus one (n-1). In this example, for a sample size of \( n = 26 \), the degrees of freedom would be \( 26 - 1 = 25 \). The table shows different columns for various alpha levels (significance) for one-tail and two-tail tests (e.g., 0.20, 0.10, 0.05, etc.). - **Degrees of Freedom (df):** The first column lists the degrees of freedom. - **Critical Values for Two Tails:** Subsequent columns list critical values corresponding to different alpha levels. To find the critical value for 80% confidence level: 1. Locate the row for df = 25. 2. Follow the row across to the column under two-tail, \( \alpha = 0.20 \) (since 80% confidence leaves 20% in the tails, 10% in each tail for a two-tailed test). For df = 25 and \( \alpha = 0.20 \), the critical value \( t_c \approx 1.316 \). Enter your answer in the provided box and click "Check Answer" to proceed. **End of Exercise.**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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
  • SEE MORE 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