How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 65 102 135 120 60 64 n USE SALT Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to four decimal places.) Ib Ib (b) Find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region. (Round your answers to one decimal place.)
How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains gave the following weights (pounds): 65 102 135 120 60 64 n USE SALT Assume that the population of x values has an approximately normal distribution. (a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s. (Round your answers to four decimal places.) Ib Ib (b) Find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region. (Round your answers to one decimal place.)
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: Estimating the Weight of Wild Mountain Lions**
**Introduction:**
How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following recorded weights (in pounds):
- 65
- 102
- 135
- 120
- 60
- 64
**Activity Objective:**
This exercise aims to calculate the sample mean weight and sample standard deviation of mountain lions and to determine a 75% confidence interval for the population average weight.
---
**Instructions:**
**(a) Calculating Mean and Standard Deviation:**
1. Use a calculator equipped with mean and sample standard deviation functionalities.
2. Find the sample mean weight (\(\bar{x}\)) and sample standard deviation (\(s\)).
3. Round your answers to four decimal places.
\[
\bar{x} = \_\_\_\_\_ \text{ lb}
\]
\[
s = \_\_\_\_\_ \text{ lb}
\]
**(b) Finding a 75% Confidence Interval:**
1. Calculate the 75% confidence interval for the population average weight (\(\mu\)) of all adult mountain lions in the specified region.
2. Round your answers to one decimal place.
\[
\text{Lower limit: } \_\_\_\_ \text{ lb}
\]
\[
\text{Upper limit: } \_\_\_\_ \text{ lb}
\]
---
**Assumptions:**
- Assume that the population of \(x\) values has an approximately normal distribution.
**Interactive Feature:**
Use the “USE SALT” tool to aid in your calculations and verify results.
**Conclusion:**
Completing this activity will provide insights into statistical methods used to analyze animal weights, helping in ecological and conservation efforts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a8d585f-99dd-4e5d-b593-c7eaddfe8ce4%2Fe26cf039-c5f6-44ca-b4d3-13fee0207711%2F5iae537g_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Estimating the Weight of Wild Mountain Lions**
**Introduction:**
How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following recorded weights (in pounds):
- 65
- 102
- 135
- 120
- 60
- 64
**Activity Objective:**
This exercise aims to calculate the sample mean weight and sample standard deviation of mountain lions and to determine a 75% confidence interval for the population average weight.
---
**Instructions:**
**(a) Calculating Mean and Standard Deviation:**
1. Use a calculator equipped with mean and sample standard deviation functionalities.
2. Find the sample mean weight (\(\bar{x}\)) and sample standard deviation (\(s\)).
3. Round your answers to four decimal places.
\[
\bar{x} = \_\_\_\_\_ \text{ lb}
\]
\[
s = \_\_\_\_\_ \text{ lb}
\]
**(b) Finding a 75% Confidence Interval:**
1. Calculate the 75% confidence interval for the population average weight (\(\mu\)) of all adult mountain lions in the specified region.
2. Round your answers to one decimal place.
\[
\text{Lower limit: } \_\_\_\_ \text{ lb}
\]
\[
\text{Upper limit: } \_\_\_\_ \text{ lb}
\]
---
**Assumptions:**
- Assume that the population of \(x\) values has an approximately normal distribution.
**Interactive Feature:**
Use the “USE SALT” tool to aid in your calculations and verify results.
**Conclusion:**
Completing this activity will provide insights into statistical methods used to analyze animal weights, helping in ecological and conservation efforts.
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