Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 138 adult males, the mean pulse rate is 68.7 bpm and the standard deviation is 10.5 bpm. Find the value of the test statistic. (...) The value of the test statistic is. (Round to two decimal places as needed.)
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 138 adult males, the mean pulse rate is 68.7 bpm and the standard deviation is 10.5 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
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![**Statistical Hypothesis Testing Example**
*Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 138 adult males, the mean pulse rate is 68.7 bpm and the standard deviation is 10.5 bpm. Find the value of the test statistic.*
---
**The value of the test statistic is** [ ]
*(Round to two decimal places as needed.)*
---
In this problem, we are working with a hypothesis test for a population mean. The test statistic can be found using the formula for the z-score in the context of hypothesis testing:
\[ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \]
where:
- \(\bar{x} = 68.7\) (sample mean)
- \(\mu = 69\) (claimed population mean)
- \(\sigma = 10.5\) (population standard deviation)
- \(n = 138\) (sample size)
By plugging these values into the formula, we can compute the value of the test statistic.
**Note:** Ensure to round off the final answer to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96fb4f59-e2d0-4223-b88e-b1f942117eac%2F751429dc-8f89-42aa-89ff-768013cefaa5%2F3dr3ok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Hypothesis Testing Example**
*Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 138 adult males, the mean pulse rate is 68.7 bpm and the standard deviation is 10.5 bpm. Find the value of the test statistic.*
---
**The value of the test statistic is** [ ]
*(Round to two decimal places as needed.)*
---
In this problem, we are working with a hypothesis test for a population mean. The test statistic can be found using the formula for the z-score in the context of hypothesis testing:
\[ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \]
where:
- \(\bar{x} = 68.7\) (sample mean)
- \(\mu = 69\) (claimed population mean)
- \(\sigma = 10.5\) (population standard deviation)
- \(n = 138\) (sample size)
By plugging these values into the formula, we can compute the value of the test statistic.
**Note:** Ensure to round off the final answer to two decimal places.
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