The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juvenile common lizards were exposed to the chemical cues of the viper snake. Their responses, in number of tongue flicks per 20 minutes, are presented below. 557, 200, 353, 472, 438, 693, 268, 336, 744, 795, 540, 727, 676, 336, 217, 370, 523 a) Preliminary data analyses indicate that you can reasonably apply the z-interval procedure. Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. Note: The sum of the data is 8245. Give your answers to at least 2 decimal places. Confidence interval: ( b) Which of the following is the correct interpretation for your answer in part (a)? OA. We.can be 90% confident that the mean number of tongue flicks per 20 minutes for this sample of 17 lizards lies in the interval OB. There is a 90% chance that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval C. We can be 90% confident that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval D. None of the above
The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juvenile common lizards were exposed to the chemical cues of the viper snake. Their responses, in number of tongue flicks per 20 minutes, are presented below. 557, 200, 353, 472, 438, 693, 268, 336, 744, 795, 540, 727, 676, 336, 217, 370, 523 a) Preliminary data analyses indicate that you can reasonably apply the z-interval procedure. Find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. Assume a population standard deviation of 190.0. Note: The sum of the data is 8245. Give your answers to at least 2 decimal places. Confidence interval: ( b) Which of the following is the correct interpretation for your answer in part (a)? OA. We.can be 90% confident that the mean number of tongue flicks per 20 minutes for this sample of 17 lizards lies in the interval OB. There is a 90% chance that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval C. We can be 90% confident that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval D. None of the above
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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![**Title: Analyzing Lizards' Response to Predator Cues**
**Introduction**
Research has shown that lizards can recognize their predators by detecting chemical cues, often using tongue flicks to sense danger. This study focuses on juvenile common lizards exposed to the chemical cues of the viper snake. Their responses, measured in the number of tongue flicks per 20 minutes, are recorded below:
**Data**
- Tongue flicks: 557, 200, 353, 472, 438, 693, 268, 336, 744, 795, 540, 727, 676, 336, 217, 370, 523
- Sum of the data: 8245
**Statistical Analysis**
**a) Confidence Interval**
Using the preliminary data, we can apply the z-interval procedure to calculate a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. The population standard deviation is given as 190.0.
**Confidence interval formula:**
\[ \bar{x} \pm z \times \left(\frac{\sigma}{\sqrt{n}}\right) \]
where:
- \(\bar{x}\) = sample mean
- \(z\) = z-score for 90% confidence
- \(\sigma\) = population standard deviation (190.0)
- \(n\) = sample size (17)
**b) Interpretation**
Which of the following is the correct interpretation for the confidence interval?
- **A.** We can be 90% confident that the mean number of tongue flicks per 20 minutes for this sample of 17 lizards lies in the interval.
- **B.** There is a 90% chance that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval.
- **C.** We can be 90% confident that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval.
- **D.** None of the above.
**Conclusion**
This study helps in understanding the behavioral adaptations of lizards to potential threats and provides insights into their survival mechanisms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa70a12d4-88d2-4e1f-8545-6de24188f77d%2Fa2f9cf24-0cba-4f69-812d-02a0db00f850%2F5qazt17_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing Lizards' Response to Predator Cues**
**Introduction**
Research has shown that lizards can recognize their predators by detecting chemical cues, often using tongue flicks to sense danger. This study focuses on juvenile common lizards exposed to the chemical cues of the viper snake. Their responses, measured in the number of tongue flicks per 20 minutes, are recorded below:
**Data**
- Tongue flicks: 557, 200, 353, 472, 438, 693, 268, 336, 744, 795, 540, 727, 676, 336, 217, 370, 523
- Sum of the data: 8245
**Statistical Analysis**
**a) Confidence Interval**
Using the preliminary data, we can apply the z-interval procedure to calculate a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. The population standard deviation is given as 190.0.
**Confidence interval formula:**
\[ \bar{x} \pm z \times \left(\frac{\sigma}{\sqrt{n}}\right) \]
where:
- \(\bar{x}\) = sample mean
- \(z\) = z-score for 90% confidence
- \(\sigma\) = population standard deviation (190.0)
- \(n\) = sample size (17)
**b) Interpretation**
Which of the following is the correct interpretation for the confidence interval?
- **A.** We can be 90% confident that the mean number of tongue flicks per 20 minutes for this sample of 17 lizards lies in the interval.
- **B.** There is a 90% chance that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval.
- **C.** We can be 90% confident that the mean number of tongue flicks per 20 minutes for all juvenile common lizards lies in the interval.
- **D.** None of the above.
**Conclusion**
This study helps in understanding the behavioral adaptations of lizards to potential threats and provides insights into their survival mechanisms.
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