Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 148 adult males, the pulse rates have a standard deviation of 12.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Ho: bpm
Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 148 adult males, the pulse rates have a standard deviation of 12.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Ho: bpm
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
Topic Video
Question
![**Claim:** The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 148 adult males, the pulse rates have a standard deviation of 12.9 bpm. Complete parts (a) and (b) below.
**a. Express the original claim in symbolic form.**
(There is a dropdown menu to select symbols and a text box to enter values)
- The input box contains "bpm" and the instruction "Type an integer or a decimal. Do not round."
**b. Identify the null and alternative hypotheses.**
\[ H_0: \]
(There is a dropdown menu to select symbols and a text box to enter values)
- The input box contains "bpm"
---
### Detailed Explanation
**Part (a): Express the original claim in symbolic form**
To express the original claim symbolically, we need to translate the statement "The standard deviation of pulse rates of adult males is more than 12 bpm" into a formal mathematical expression. Usually, the standard deviation is represented by the symbol \( \sigma \). Therefore, the claim can be expressed as:
\[ \sigma > 12 \text{ bpm} \]
**Part (b): Identify the null and alternative hypotheses**
In hypothesis testing, the null hypothesis (\( H_0 \)) typically represents the statement of no effect or no difference. It is the hypothesis that the researcher attempts to disprove. On the other hand, the alternative hypothesis (\( H_a \)) represents the statement that there is an effect or a difference. In this case:
- The null hypothesis \( H_0 \) would state that the standard deviation of pulse rates of adult males is less than or equal to 12 bpm:
\[ H_0: \sigma \leq 12 \text{ bpm} \]
- The alternative hypothesis \( H_a \) would state that the standard deviation of pulse rates of adult males is more than 12 bpm (this is the original claim):
\[ H_a: \sigma > 12 \text{ bpm} \]
This setup of hypotheses allows for a one-tailed test to determine if the standard deviation is significantly greater than 12 bpm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27937a9a-6c56-4023-8617-cb9097cc0b1e%2F1a015dfc-a556-4ad2-bca1-2dfae29f6192%2F8sksjsf_processed.png&w=3840&q=75)
Transcribed Image Text:**Claim:** The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 148 adult males, the pulse rates have a standard deviation of 12.9 bpm. Complete parts (a) and (b) below.
**a. Express the original claim in symbolic form.**
(There is a dropdown menu to select symbols and a text box to enter values)
- The input box contains "bpm" and the instruction "Type an integer or a decimal. Do not round."
**b. Identify the null and alternative hypotheses.**
\[ H_0: \]
(There is a dropdown menu to select symbols and a text box to enter values)
- The input box contains "bpm"
---
### Detailed Explanation
**Part (a): Express the original claim in symbolic form**
To express the original claim symbolically, we need to translate the statement "The standard deviation of pulse rates of adult males is more than 12 bpm" into a formal mathematical expression. Usually, the standard deviation is represented by the symbol \( \sigma \). Therefore, the claim can be expressed as:
\[ \sigma > 12 \text{ bpm} \]
**Part (b): Identify the null and alternative hypotheses**
In hypothesis testing, the null hypothesis (\( H_0 \)) typically represents the statement of no effect or no difference. It is the hypothesis that the researcher attempts to disprove. On the other hand, the alternative hypothesis (\( H_a \)) represents the statement that there is an effect or a difference. In this case:
- The null hypothesis \( H_0 \) would state that the standard deviation of pulse rates of adult males is less than or equal to 12 bpm:
\[ H_0: \sigma \leq 12 \text{ bpm} \]
- The alternative hypothesis \( H_a \) would state that the standard deviation of pulse rates of adult males is more than 12 bpm (this is the original claim):
\[ H_a: \sigma > 12 \text{ bpm} \]
This setup of hypotheses allows for a one-tailed test to determine if the standard deviation is significantly greater than 12 bpm.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
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
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