Homework Help is Here – Start Your Trial Now!
Math
Statistics
(d) Find the critical t-value that corresponds to 50% confidence. Assume 10 degrees of freedom. |(Round to three decimal places as needed.)

(d) Find the critical t-value that corresponds to 50% confidence. Assume 10 degrees of freedom. |(Round to three decimal places as needed.)

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
See similar textbooks
icon
Related questions
Question

Question #1 Part D

# t-Distribution Area in Right Tail **Table VI:** This table shows the critical values of the t-distribution for various degrees of freedom (df) and significance levels representing the area in the right tail. - **Degrees of Freedom (df):** Vertical column labeled from 1 to 80. - **Significance Levels:** Horizontal row labeled with values: 0.25, 0.20, 0.15, 0.10, 0.05, 0.025, 0.02, 0.01, 0.005, 0.0025, 0.001, 0.0005. ### Example: For 10 degrees of freedom and a significance level of 0.05, the critical value is 1.812. ### Graph Explanation: - **Graph Description:** A normal distribution curve with a shaded right tail. - **Label:** "Area in right tail." - **x-axis:** Denotes the t-value. - **Interpretation:** The shaded area represents the probability corresponding to the t-value in the tail of the distribution. This table is essential for conducting hypothesis tests and constructing confidence intervals when the sample size is small, and the data distribution is approximately normal.
Transcribed Image Text:# t-Distribution Area in Right Tail **Table VI:** This table shows the critical values of the t-distribution for various degrees of freedom (df) and significance levels representing the area in the right tail. - **Degrees of Freedom (df):** Vertical column labeled from 1 to 80. - **Significance Levels:** Horizontal row labeled with values: 0.25, 0.20, 0.15, 0.10, 0.05, 0.025, 0.02, 0.01, 0.005, 0.0025, 0.001, 0.0005. ### Example: For 10 degrees of freedom and a significance level of 0.05, the critical value is 1.812. ### Graph Explanation: - **Graph Description:** A normal distribution curve with a shaded right tail. - **Label:** "Area in right tail." - **x-axis:** Denotes the t-value. - **Interpretation:** The shaded area represents the probability corresponding to the t-value in the tail of the distribution. This table is essential for conducting hypothesis tests and constructing confidence intervals when the sample size is small, and the data distribution is approximately normal.
**Determine the t-value in each of the cases.** *Click the icon to view the table of areas under the t-distribution.* --- **(a)** Find the t-value such that the area in the right tail is 0.05 with 11 degrees of freedom. **1.796** (Round to three decimal places as needed.) **(b)** Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. **3.499** (Round to three decimal places as needed.) **(c)** Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [Hint: Use symmetry.] **-0.858** (Round to three decimal places as needed.) **(d)** Find the critical t-value that corresponds to 50% confidence. Assume 10 degrees of freedom. *(Round to three decimal places as needed.)*
Transcribed Image Text:**Determine the t-value in each of the cases.** *Click the icon to view the table of areas under the t-distribution.* --- **(a)** Find the t-value such that the area in the right tail is 0.05 with 11 degrees of freedom. **1.796** (Round to three decimal places as needed.) **(b)** Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. **3.499** (Round to three decimal places as needed.) **(c)** Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [Hint: Use symmetry.] **-0.858** (Round to three decimal places as needed.) **(d)** Find the critical t-value that corresponds to 50% confidence. Assume 10 degrees of freedom. *(Round to three decimal places as needed.)*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS