(c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)
(c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.)
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![**Analysis of Polymerization Data**
An article presented the following observations on the degree of polymerization for paper specimens, where viscosity times concentration fell within a specified middle range:
**Data Observations:**
415, 420, 422, 423, 425, 426, 431, 435, 436, 439, 446, 447, 450, 452, 458, 462, 464
---
**(a) Boxplot Construction:**
The diagram shows two boxplots, with the correct one highlighted:
- The selected boxplot accurately represents the data distribution.
- Key features include:
- **No Outliers:** The data does not show any extreme values beyond the whiskers.
- **Centering of Data:** The data appears to be centered around 438.
- **Skewness:** There is little or no skew, indicating a relatively symmetrical distribution.
**Comments on Features (Selected):**
- [x] There are no outliers.
- [x] The data appears to be centered near 438.
- [ ] The data is strongly skewed.
- [ ] The data appears to be centered near 428.
- [x] There is little or no skew.
- [ ] There is one outlier.
**(b) Normal Distribution Plausibility:**
The data plausibly follows a normal distribution based on its symmetrical appearance and lack of outliers.
- [x] Yes
- [ ] No
**(c) Calculation of 95% Confidence Interval:**
Compute a two-sided 95% confidence interval for the true average degree of polymerization. Inputs for the interval are left blank for calculation.
\[ \text{Confidence Interval: (_______ , _______)} \]
This data analysis provides valuable insights into the normality and spread of polymerization degrees for the given specimen range.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56945fae-aeca-4f60-8c3d-a266c334f238%2F7a1a593b-fe71-4c94-b8b4-b85a3de2a4e3%2Fiwldb2_processed.png&w=3840&q=75)
Transcribed Image Text:**Analysis of Polymerization Data**
An article presented the following observations on the degree of polymerization for paper specimens, where viscosity times concentration fell within a specified middle range:
**Data Observations:**
415, 420, 422, 423, 425, 426, 431, 435, 436, 439, 446, 447, 450, 452, 458, 462, 464
---
**(a) Boxplot Construction:**
The diagram shows two boxplots, with the correct one highlighted:
- The selected boxplot accurately represents the data distribution.
- Key features include:
- **No Outliers:** The data does not show any extreme values beyond the whiskers.
- **Centering of Data:** The data appears to be centered around 438.
- **Skewness:** There is little or no skew, indicating a relatively symmetrical distribution.
**Comments on Features (Selected):**
- [x] There are no outliers.
- [x] The data appears to be centered near 438.
- [ ] The data is strongly skewed.
- [ ] The data appears to be centered near 428.
- [x] There is little or no skew.
- [ ] There is one outlier.
**(b) Normal Distribution Plausibility:**
The data plausibly follows a normal distribution based on its symmetrical appearance and lack of outliers.
- [x] Yes
- [ ] No
**(c) Calculation of 95% Confidence Interval:**
Compute a two-sided 95% confidence interval for the true average degree of polymerization. Inputs for the interval are left blank for calculation.
\[ \text{Confidence Interval: (_______ , _______)} \]
This data analysis provides valuable insights into the normality and spread of polymerization degrees for the given specimen range.
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