Homework Help is Here – Start Your Trial Now!
Math
Statistics
Find the critical value to for the confidence level c = 0.98 and sample size n = 16. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.) t-Distribution Tab d.f. Level of confidence, c One tail, a Two tails, a 0.8 0.1 0.2

Find the critical value to for the confidence level c = 0.98 and sample size n = 16. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.) t-Distribution Tab d.f. Level of confidence, c One tail, a Two tails, a 0.8 0.1 0.2

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
**Instructions:** Find the critical value \( t_c \) for the confidence level \( c = 0.98 \) and sample size \( n = 16 \). **Step-by-step guide:** 1. Determine the degrees of freedom (d.f.): - The degrees of freedom are calculated as \( n - 1 \). - For a sample size \( n = 16 \), the degrees of freedom is \( 16 - 1 = 15 \). 2. Locate the appropriate value in the t-distribution table: - Find the row corresponding to d.f. = 15. - Move along this row to the column under the confidence level \( c = 0.98 \). 3. Extract the critical value: - The critical value \( t_c \) for d.f. = 15 and \( c = 0.98 \) is 2.602. Finally, round the critical value to the nearest thousandth if necessary. **Explanation of the t-Distribution Table:** The table is structured with degrees of freedom (d.f.) listed in the leftmost column, ranging from 1 to 25. The top row indicates the level of confidence \( c \) for two-tailed tests. For each combination of d.f. and confidence level, a specific critical value is listed. This value indicates the t-score threshold for statistical analysis under a given confidence interval. **Solution:** \( t_c = 2.602 \)
Transcribed Image Text:**Instructions:** Find the critical value \( t_c \) for the confidence level \( c = 0.98 \) and sample size \( n = 16 \). **Step-by-step guide:** 1. Determine the degrees of freedom (d.f.): - The degrees of freedom are calculated as \( n - 1 \). - For a sample size \( n = 16 \), the degrees of freedom is \( 16 - 1 = 15 \). 2. Locate the appropriate value in the t-distribution table: - Find the row corresponding to d.f. = 15. - Move along this row to the column under the confidence level \( c = 0.98 \). 3. Extract the critical value: - The critical value \( t_c \) for d.f. = 15 and \( c = 0.98 \) is 2.602. Finally, round the critical value to the nearest thousandth if necessary. **Explanation of the t-Distribution Table:** The table is structured with degrees of freedom (d.f.) listed in the leftmost column, ranging from 1 to 25. The top row indicates the level of confidence \( c \) for two-tailed tests. For each combination of d.f. and confidence level, a specific critical value is listed. This value indicates the t-score threshold for statistical analysis under a given confidence interval. **Solution:** \( t_c = 2.602 \)
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
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
SEE MORE TEXTBOOKS