A simple random sample from a population with a normal distribution of 102 body temperatures has x = 98.40°F and s= 0.65°F. Construct a 95% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. °F
A simple random sample from a population with a normal distribution of 102 body temperatures has x = 98.40°F and s= 0.65°F. Construct a 95% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. °F
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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![**Constructing a 95% Confidence Interval for Standard Deviation**
A simple random sample from a population with a normal distribution of 102 body temperatures has a sample mean (\(\bar{x}\)) of 98.4°F and a sample standard deviation (\(s\)) of 0.65°F. The task is to construct a 95% confidence interval estimate of the standard deviation of body temperature for all healthy humans.
To proceed:
- **Click the icon** to view the table of Chi-Square critical values.
**Confidence Interval Calculation**
\[
\sqrt{\frac{(n-1)s^2}{\chi^2_{\text{right}}}} < \sigma < \sqrt{\frac{(n-1)s^2}{\chi^2_{\text{left}}}}
\]
- **Degrees of Freedom (df)**: \( n - 1 = 102 - 1 = 101 \)
**Enter the Interval:**
\[ \_\_^\circ F < \sigma < \_\_^\circ F \]
*(Round to two decimal places as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F042a8735-5c88-4898-a930-fc7b8d4f9458%2F498bc3b0-d4f0-4de6-83ea-a3348555547f%2Fn3snaur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Constructing a 95% Confidence Interval for Standard Deviation**
A simple random sample from a population with a normal distribution of 102 body temperatures has a sample mean (\(\bar{x}\)) of 98.4°F and a sample standard deviation (\(s\)) of 0.65°F. The task is to construct a 95% confidence interval estimate of the standard deviation of body temperature for all healthy humans.
To proceed:
- **Click the icon** to view the table of Chi-Square critical values.
**Confidence Interval Calculation**
\[
\sqrt{\frac{(n-1)s^2}{\chi^2_{\text{right}}}} < \sigma < \sqrt{\frac{(n-1)s^2}{\chi^2_{\text{left}}}}
\]
- **Degrees of Freedom (df)**: \( n - 1 = 102 - 1 = 101 \)
**Enter the Interval:**
\[ \_\_^\circ F < \sigma < \_\_^\circ F \]
*(Round to two decimal places as needed.)*
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