---
tags: 機率與統計
title: 第十二週活動
---

# 活動二
The article "Measuring and Understanding the Aging of Kraft Insulating Paper in Power Transformers" (IEEE Eectrical Insul. Magazine, 1996:28-34) contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain range:

418 421 421 422 425 427 431 434 437 439 446 447 448 453 454 463 465

(a) Construct a boxplot of the data and comment on any interesting features.

我們可以發現他的上半部較為分散下半部較為集中，中間值並不剛好在中間

(b) Is it possible that the given sample observations were selected from a normal distribution?

從第二張 QQ圖中可以發現樣本的分佈趨近於常態分佈，所以可以用常態分佈表示

(c) Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article). Does the interval suggest that 440 is a possible value for true average degree of polymerization? What about 450?