---
# System prepended metadata

title: 第十三週活動
tags: [機率與統計]

---

---
tags: 機率與統計
title: 第十三週活動
---

## 活動一
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


Now,  the cited article also gave the following observations on degree of polymerization for specimens having viscosity  times concentration in a higher range:

429 430 430 431 436 437 440 441 445 446 447

(d). Construct a comparative box product for the two samples, and comment on any interesting  features.
>兩個樣本的盒方圖一個分部比較集中一個比較散，但兩個的分佈都趨近常態分佈。

(e) Calculate a 95% confidence interval for the difference between true average degree of polymerization for the middle range and that for the high range. Does the interval suggest that μ1 and μ2 may in fact be different? Explain your reasoning.
>![](https://i.imgur.com/FRjD3LJ.jpg)

[08360912簡子軒](https://drive.google.com/file/d/1yI316oqiM7qVnqgiHsVOtNVhcB9z_dYy/view?usp=sharing)
[08360105邱怡涵](https://drive.google.com/file/d/18Q2GqA2Ul68XHMa7gbhTDZdVL_-7jHPi/view?usp=sharing)

## 活動二

Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper "Bone Mass Is Recovered From Lactation to Postweaning in Adolescent Mothers with Low Calcium Intakes" (American Journal of Clinical Nutrition 2004: 1322–1326) gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation and in the post-weaning period.

Subject       	L	P
1	1928 	2126
2	2549	2885 
3	2825	2895 
4	1924 	1942
5	1628 	1750
6	2175 	3284 
7	2114 	2164
8	2621 	2626 
9	1843	2006 
10	2541 	2627

(a) Construct a comparative boxplot  of TBBMC for the lactation and post weaning periods and comment on anything interesting features.
>資料量過少，無法看出是否為常態分佈，所以假設母體為常態分佈做計算

(b) Estimate the difference between true average of TBBMC for the two periods of concrete in a way that conveys information about precision and reliability (using 95% confidence interval) : Does it appear plausible that the true average TBBMC  for the two periods are identical? Why or why not?
>![](https://i.imgur.com/bsiTAYB.png)
>![](https://i.imgur.com/s3q2FpK.jpg)
所以在斷奶後改喝牛奶可以有效地增加鈣質比例

[08360912簡子軒](https://drive.google.com/file/d/1AGnjwDC-LnygxYi3u_PG76iGd6aIT5AH/view?usp=sharing)

[08360105邱怡涵](https://drive.google.com/file/d/18Q2GqA2Ul68XHMa7gbhTDZdVL_-7jHPi/view?usp=sharing)