(c) Construct a 95% confidence interval for the population standard deviation of the number of ounces of peanuts. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) OA. There is a 95% chance that the true population standard deviation is between and OB. There is 95% confidence that the population standard deviation is between and OC. If repeated samples are taken, 95% of them will have the sample standard deviation between and A
(c) Construct a 95% confidence interval for the population standard deviation of the number of ounces of peanuts. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) OA. There is a 95% chance that the true population standard deviation is between and OB. There is 95% confidence that the population standard deviation is between and OC. If repeated samples are taken, 95% of them will have the sample standard deviation between and A
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![**Title: Quality Control Analysis of Peanut Jar Filling**
**Introduction:**
A jar of peanuts is expected to have 20 ounces of content. Due to inherent fluctuations during the filling process, a quality control manager samples 12 jars randomly from the storage facility to assess the contents. Below is an analysis derived from the sample data using statistical methods.
**Peanut Jar Data:**
| Measurements (ounces) |
|------------------------|
| 19.94, 19.71, 20.22 |
| 19.85, 19.86, 19.45 |
| 20.14, 19.78, 19.47 |
| 20.26, 20.54 |
**Analytical Steps:**
a) **Normality Check:**
- The graphical plots provided check for normality distribution around the mean value of 20 ounces. The plots appear symmetrical around the average line with data ranging from 19.2 to 20.6 ounces.
- **Conclusion**:
- Are the data normally distributed?
- Yes ☑️
- No
b) **Sample Standard Deviation:**
- **Calculation**:
- The sample standard deviation \( s \) is calculated as 0.376. (Rounded to three decimal places.)
c) **Confidence Interval for Population Standard Deviation:**
- 95% Confidence Interval:
- Three options are presented for calculating the population standard deviation based on ascending order:
A. \[\text{0.304, 0.474}\]
B. \[\text{0.278, 0.525}\]
C. \[\text{0.317, 0.468}\]
- **Conclusion**:
- Correct choice selected with calculated intervals in the answer boxes.
**Graphs and Diagrams:**
Two small graphs show the observed distribution of peanut weights for a sample of jars against standard normal distribution scale, indicating whether data points are centered and symmetrical about the mean.
**Conclusion:**
The analysis offers insights into the variability of peanut filling and provides a statistical foundation for ensuring quality control through standard deviation and confidence interval assessment. This helps in identifying whether the filling process is consistently meeting the 20-ounce expectation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fc56f30-5cf6-404c-bdfa-a7af8b096408%2F80d9e336-fb0a-4b39-8670-9c11019b5035%2Fekvmqq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Quality Control Analysis of Peanut Jar Filling**
**Introduction:**
A jar of peanuts is expected to have 20 ounces of content. Due to inherent fluctuations during the filling process, a quality control manager samples 12 jars randomly from the storage facility to assess the contents. Below is an analysis derived from the sample data using statistical methods.
**Peanut Jar Data:**
| Measurements (ounces) |
|------------------------|
| 19.94, 19.71, 20.22 |
| 19.85, 19.86, 19.45 |
| 20.14, 19.78, 19.47 |
| 20.26, 20.54 |
**Analytical Steps:**
a) **Normality Check:**
- The graphical plots provided check for normality distribution around the mean value of 20 ounces. The plots appear symmetrical around the average line with data ranging from 19.2 to 20.6 ounces.
- **Conclusion**:
- Are the data normally distributed?
- Yes ☑️
- No
b) **Sample Standard Deviation:**
- **Calculation**:
- The sample standard deviation \( s \) is calculated as 0.376. (Rounded to three decimal places.)
c) **Confidence Interval for Population Standard Deviation:**
- 95% Confidence Interval:
- Three options are presented for calculating the population standard deviation based on ascending order:
A. \[\text{0.304, 0.474}\]
B. \[\text{0.278, 0.525}\]
C. \[\text{0.317, 0.468}\]
- **Conclusion**:
- Correct choice selected with calculated intervals in the answer boxes.
**Graphs and Diagrams:**
Two small graphs show the observed distribution of peanut weights for a sample of jars against standard normal distribution scale, indicating whether data points are centered and symmetrical about the mean.
**Conclusion:**
The analysis offers insights into the variability of peanut filling and provides a statistical foundation for ensuring quality control through standard deviation and confidence interval assessment. This helps in identifying whether the filling process is consistently meeting the 20-ounce expectation.
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