Jse the given information to find the number of degrees of freedom, the critical values x and x. and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a ormal distribution. Nicotine in menthol cigarettes 98% confidence; n=21, s= 0.26 mg. E Click the icon to view the table of Chi-Square critical values. If= Type a whole number.)
Jse the given information to find the number of degrees of freedom, the critical values x and x. and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a ormal distribution. Nicotine in menthol cigarettes 98% confidence; n=21, s= 0.26 mg. E Click the icon to view the table of Chi-Square critical values. If= Type a whole number.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Chi-Square Distribution in Estimating Confidence Intervals**
**Objective:**
Use the given information to find the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \). It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.
**Given:**
- Sample context: Nicotine in menthol cigarettes
- Confidence level: 98%
- Sample size (\( n \)): 21
- Sample standard deviation (\( s \)): 0.26 mg
**Instructions:**
1. Click the icon to view the table of Chi-Square critical values.
2. Calculate the degrees of freedom: \( df = n - 1 \).
---
**Input Field:**
- \( df = \) [Type a whole number.]
**Explanation:**
To estimate the population variance and standard deviation, find the degrees of freedom and the corresponding critical values from the Chi-Square distribution table for the given confidence level. This will allow us to calculate the confidence interval for the population standard deviation \( \sigma \).
**Note:**
The critical values \( \chi^2_L \) and \( \chi^2_R \) are essential in determining the bounds of the confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf958a25-a444-4f4f-be9e-407bc875887f%2Fffa0f1ef-3ec9-40da-bbb0-562abc3b359d%2Fv9y1pxo_processed.png&w=3840&q=75)
Transcribed Image Text:**Chi-Square Distribution in Estimating Confidence Intervals**
**Objective:**
Use the given information to find the number of degrees of freedom, the critical values \( \chi^2_L \) and \( \chi^2_R \), and the confidence interval estimate of \( \sigma \). It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.
**Given:**
- Sample context: Nicotine in menthol cigarettes
- Confidence level: 98%
- Sample size (\( n \)): 21
- Sample standard deviation (\( s \)): 0.26 mg
**Instructions:**
1. Click the icon to view the table of Chi-Square critical values.
2. Calculate the degrees of freedom: \( df = n - 1 \).
---
**Input Field:**
- \( df = \) [Type a whole number.]
**Explanation:**
To estimate the population variance and standard deviation, find the degrees of freedom and the corresponding critical values from the Chi-Square distribution table for the given confidence level. This will allow us to calculate the confidence interval for the population standard deviation \( \sigma \).
**Note:**
The critical values \( \chi^2_L \) and \( \chi^2_R \) are essential in determining the bounds of the confidence interval.
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