For a confidence level of 99% with a sample size of 19, find the criticalt 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
**Question:**

For a confidence level of 99% with a sample size of 19, find the critical t value.

**Explanation:**

To find the critical t value for a given confidence level and sample size, you need to refer to the t-distribution table or use statistical software. The degrees of freedom (df) in this case would be the sample size minus one, which is 18 (19 - 1 = 18).

A confidence level of 99% corresponds to an alpha level of 0.01. The critical t value is the value that separates the most extreme 1% of the data from the rest. For greater accuracy, a two-tailed t-distribution should be used, since a confidence interval is typically two-tailed. 

Using a t-distribution table or statistical software with df = 18 and alpha = 0.01 (two-tailed), you would find the critical t value.
Transcribed Image Text:**Question:** For a confidence level of 99% with a sample size of 19, find the critical t value. **Explanation:** To find the critical t value for a given confidence level and sample size, you need to refer to the t-distribution table or use statistical software. The degrees of freedom (df) in this case would be the sample size minus one, which is 18 (19 - 1 = 18). A confidence level of 99% corresponds to an alpha level of 0.01. The critical t value is the value that separates the most extreme 1% of the data from the rest. For greater accuracy, a two-tailed t-distribution should be used, since a confidence interval is typically two-tailed. Using a t-distribution table or statistical software with df = 18 and alpha = 0.01 (two-tailed), you would find the critical t value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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.
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