Claim: The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) -.-
Claim: The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) -.-
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
![**Problem Description:**
**Claim:** The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic.
---
**Solution Approach:**
To determine the test statistic, we will use the chi-square test for standard deviation, as it allows us to test hypotheses about population standard deviations.
The test statistic for the chi-square test for standard deviation is calculated using the formula:
\[
\chi^2 = \frac{(n-1)s^2}{\sigma_0^2}
\]
Where:
- \( n \) is the sample size (173 in this case).
- \( s \) is the sample standard deviation (10.4 bpm).
- \( \sigma_0 \) is the claimed population standard deviation (10 bpm).
**Note:** The result should be rounded to two decimal places as needed. The value will be filled in a box provided in the solution space.
This process enables us to verify the claim regarding the population standard deviation of pulse rates among adult males.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c582252-6541-4096-9706-b4f3b52fcf1c%2F5ae0209c-34b7-4188-b367-7ac5d5808c1f%2Fbxz7c2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
**Claim:** The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample of 173 adult males, the pulse rates have a standard deviation of 10.4 bpm. Find the value of the test statistic.
---
**Solution Approach:**
To determine the test statistic, we will use the chi-square test for standard deviation, as it allows us to test hypotheses about population standard deviations.
The test statistic for the chi-square test for standard deviation is calculated using the formula:
\[
\chi^2 = \frac{(n-1)s^2}{\sigma_0^2}
\]
Where:
- \( n \) is the sample size (173 in this case).
- \( s \) is the sample standard deviation (10.4 bpm).
- \( \sigma_0 \) is the claimed population standard deviation (10 bpm).
**Note:** The result should be rounded to two decimal places as needed. The value will be filled in a box provided in the solution space.
This process enables us to verify the claim regarding the population standard deviation of pulse rates among adult males.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 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