A simple random sample of 39 men from a normally distributed population results in a standard deviation of 8.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. OA. H: 10 beats per minute H₁: #10 beats per minute OC. H: 210 beats per minute H₁: <10 beats per minute b. Compute the test statistic. 2= (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. H₂, because the P-value is the level of significance. There is OB H₂=10 beats per minute H₂: <10 beats per minute OD. H: 10 beats per minute H₁: =10 beats per minute evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
A simple random sample of 39 men from a normally distributed population results in a standard deviation of 8.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. OA. H: 10 beats per minute H₁: #10 beats per minute OC. H: 210 beats per minute H₁: <10 beats per minute b. Compute the test statistic. 2= (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. H₂, because the P-value is the level of significance. There is OB H₂=10 beats per minute H₂: <10 beats per minute OD. H: 10 beats per minute H₁: =10 beats per minute evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
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
9
![### Hypothesis Testing on Pulse Rate Standard Deviation
A simple random sample of 39 men from a normally distributed population results in a standard deviation of 8.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
---
### (a) Identify the null and alternative hypotheses. Choose the correct answer below.
- **A.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma \neq 10 \) beats per minute
- **B.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma < 10 \) beats per minute
- **C.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma > 10 \) beats per minute
- **D.** \( H_0: \sigma \neq 10 \) beats per minute
\( H_1: \sigma = 10 \) beats per minute
---
### (b) Compute the test statistic.
\[ \chi^2 = \ \_\_\_ \]
(Round to three decimal places as needed.)
---
### (c) Find the P-value.
\[ \text{P-value} = \_\_\_ \]
(Round to four decimal places as needed.)
---
### (d) State the conclusion.
\[ H_0 \]
because the P-value is \_\_\_
the level of significance. There is \_\_\_ evidence to warrant rejection of the claim that the standard deviation of men’s pulse rates is equal to 10 beats per minute.
---
### Explanation of Sections
1. **Hypothesis Identification:**
- Identify the correct null and alternative hypothesis statements for the problem. The choices provided must represent possible conditions of the population standard deviation in accordance with the supplied problem statement.
2. **Computing the Test Statistic:**
- Calculate the Chi-square (\(\chi^2\)) test statistic using](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4e5146-969d-4643-8e1a-977cd9815aba%2F6a9620e3-6274-4f37-a623-6621f0e325df%2Ft8i4by_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing on Pulse Rate Standard Deviation
A simple random sample of 39 men from a normally distributed population results in a standard deviation of 8.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
---
### (a) Identify the null and alternative hypotheses. Choose the correct answer below.
- **A.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma \neq 10 \) beats per minute
- **B.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma < 10 \) beats per minute
- **C.** \( H_0: \sigma = 10 \) beats per minute
\( H_1: \sigma > 10 \) beats per minute
- **D.** \( H_0: \sigma \neq 10 \) beats per minute
\( H_1: \sigma = 10 \) beats per minute
---
### (b) Compute the test statistic.
\[ \chi^2 = \ \_\_\_ \]
(Round to three decimal places as needed.)
---
### (c) Find the P-value.
\[ \text{P-value} = \_\_\_ \]
(Round to four decimal places as needed.)
---
### (d) State the conclusion.
\[ H_0 \]
because the P-value is \_\_\_
the level of significance. There is \_\_\_ evidence to warrant rejection of the claim that the standard deviation of men’s pulse rates is equal to 10 beats per minute.
---
### Explanation of Sections
1. **Hypothesis Identification:**
- Identify the correct null and alternative hypothesis statements for the problem. The choices provided must represent possible conditions of the population standard deviation in accordance with the supplied problem statement.
2. **Computing the Test Statistic:**
- Calculate the Chi-square (\(\chi^2\)) test statistic using
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 6 steps with 10 images
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