MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### 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 160 adult males, the mean pulse rate is 69.4 bpm and the standard deviation is 10.8 bpm. 

**Task:** Find the value of the test statistic.

**Answer Box:** 
- [  ]

*(Round to two decimal places as needed.)*

### Explanation

To test this claim, we will use the formula for the test statistic for a sample mean:

\[ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \]

Where:  
- \(\bar{x}\) is the sample mean (69.4 bpm)  
- \(\mu\) is the population mean as stated in the claim (69 bpm)  
- \(\sigma\) is the standard deviation of the sample (10.8 bpm)  
- \(n\) is the sample size (160)  

Use this formula to calculate the test statistic to assess the validity of the claim.
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Transcribed Image Text:### 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 160 adult males, the mean pulse rate is 69.4 bpm and the standard deviation is 10.8 bpm. **Task:** Find the value of the test statistic. **Answer Box:** - [ ] *(Round to two decimal places as needed.)* ### Explanation To test this claim, we will use the formula for the test statistic for a sample mean: \[ z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \] Where: - \(\bar{x}\) is the sample mean (69.4 bpm) - \(\mu\) is the population mean as stated in the claim (69 bpm) - \(\sigma\) is the standard deviation of the sample (10.8 bpm) - \(n\) is the sample size (160) Use this formula to calculate the test statistic to assess the validity of the claim.
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