When will a t test be used instead of a Z test? Select one: a. When the population standard deviation is not known b. When the sample size is too large C. When the parameter to be tested is not the mean d. When the population mean is known
When will a t test be used instead of a Z test? Select one: a. When the population standard deviation is not known b. When the sample size is too large C. When the parameter to be tested is not the mean d. When the population mean is known
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:### Question: When will a t test be used instead of a Z test?
#### Options:
- **a.** When the population standard deviation is not known
- **b.** When the sample size is too large
- **c.** When the parameter to be tested is not the mean
- **d.** When the population mean is known
**Correct Answer:** a. When the population standard deviation is not known
### Explanation:
In statistical analysis, a t test is typically used instead of a Z test when the population standard deviation is unknown and the sample size is small (usually less than 30). The t test is more robust in these situations because it accounts for the variability in the sample, providing a more accurate measure of statistical significance.
Expert Solution

Step 1: We know that
We have to determine which statement is true for given situation.
Step by step
Solved in 3 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman