(a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 420 430 440 450 460 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There is one outlier. The data is strongly skewed. The data appears to be centered near 428. There are no outliers. The data appears to be centered near 438. There is little or no skew. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) Does the interval suggest that 440 is a plausible value for true average degree of polymerization? Yes No Does the interval suggest that 456 is a plausible value? Yes No

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**Observations on Degree of Polymerization**

An article provided the following observations on the degree of polymerization for paper specimens, where viscosity times concentration fell in a specific middle range:

- Observations: 415, 420, 421, 422, 426, 427, 432, 434, 437, 438, 446, 447, 450, 452, 457, 463, 464

**(a) Boxplot Construction**

A set of four boxplots is depicted, each representing the same data. The boxplots show the distribution of observations in terms of their quartiles, median, and potential outliers.

**Features to Comment On:**
- There is one outlier.
- The data is strongly skewed.
- The data appears to be centered near 428.
- There are no outliers.
- The data appears to be centered near 438.
- There is little or no skew.

**(b) Evaluation of Normal Distribution**

- Is it plausible that the sample observations were selected from a normal distribution? 
  - Options: Yes / No

**(c) Confidence Interval Calculation**

- Task: Calculate a two-sided 95% confidence interval for the true average degree of polymerization. Answers should be rounded to two decimal places.

**Questions:**

1. Does the interval suggest that 440 is a plausible value for the true average degree of polymerization?
   - Options: Yes / No

2. Does the interval suggest that 456 is a plausible value?
   - Options: Yes / No

**Graph and Diagram Explanation:**
The boxplots display the central tendency, variability, and potential outliers within the data set. Each plot visually represents the quartiles and the overall spread of the data, allowing for interpretation of skewness and the presence of any anomalies.
Transcribed Image Text:**Observations on Degree of Polymerization** An article provided the following observations on the degree of polymerization for paper specimens, where viscosity times concentration fell in a specific middle range: - Observations: 415, 420, 421, 422, 426, 427, 432, 434, 437, 438, 446, 447, 450, 452, 457, 463, 464 **(a) Boxplot Construction** A set of four boxplots is depicted, each representing the same data. The boxplots show the distribution of observations in terms of their quartiles, median, and potential outliers. **Features to Comment On:** - There is one outlier. - The data is strongly skewed. - The data appears to be centered near 428. - There are no outliers. - The data appears to be centered near 438. - There is little or no skew. **(b) Evaluation of Normal Distribution** - Is it plausible that the sample observations were selected from a normal distribution? - Options: Yes / No **(c) Confidence Interval Calculation** - Task: Calculate a two-sided 95% confidence interval for the true average degree of polymerization. Answers should be rounded to two decimal places. **Questions:** 1. Does the interval suggest that 440 is a plausible value for the true average degree of polymerization? - Options: Yes / No 2. Does the interval suggest that 456 is a plausible value? - Options: Yes / No **Graph and Diagram Explanation:** The boxplots display the central tendency, variability, and potential outliers within the data set. Each plot visually represents the quartiles and the overall spread of the data, allowing for interpretation of skewness and the presence of any anomalies.
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