MATH 1065 – Quantitative Methods in Health

90例患者接受了旧的治疗，110例患者接受了新的治疗。结果，四个星期后

（a）（6个标记）使用表1中的汇总数据构建100％堆叠的柱形图，以说明

（b）（6分）在研究开始时，对每个患者的痤疮严重程度进行了评估和分类

MINITAB的其他说明：图形>条形图

（c）（3分）检查您从（a）和（b）部分获得的结果。是否可以确切地说出哪种治疗方法

3

Happiness.xlsx，可以从课程网站的“数据”选项卡下载。该文件中的变量

CountryCode三字母的国家代码
HappinessScore国家幸福分数来自对盖洛普世界民意测验的主要反应

（GWP）问题‘如果遇到麻烦，您有亲戚或朋友吗？

（a）（3分）使用MINITAB生成变量的直方图，箱形图和描述性统计量
“幸福分数”。
（b）（8分）使用（a）的输出，对幸福分数在整个社区中的分布进行评论

•分布的形状（主峰，对称）；
•是否有异常值（按国家/地区名称标识）；
•集中趋势和分散的适当措施。要获得满分，请确保您有理由

（c）（3分）现在使用MINITAB生成直方图，箱形图和描述性统计

（d）（8分）使用（c）的输出，对周围的社会支持分数分布进行评论

•分布的形状（主峰，对称）；
•是否有异常值（按国家/地区名称标识）；
•集中趋势和分散的适当措施。要获得满分，请确保您有理由

（e）（3分）查找澳大利亚的总体幸福感分数和社会支持分数。多么不寻常

Question 3 (22 marks)
Are we getting enough iron? Iron is an important mineral that is involved in various bodily functions,
including the transport of oxygen in the blood, essential for providing energy for daily life. The average
person needs to absorb just a small amount of iron each day to stay healthy, but to achieve this we need
to consume several times that amount as our bodies absorb only a fraction of the iron contained in the
food we eat. The amount of dietary iron required as well as actual daily intake is different for different age
groups and life stages. In a 2003 report1 based on the data from the National Health and Nutrition
Examination Survey (NHANES) conducted annually in the US, investigators included the following summary
values (in mg) of daily iron intake for the 20-39 age group:
Mean Median Standard deviation
Female 13.7 11.7 8.9
Male 17.9 15.7 10.9
Table 3. Dietary daily intake of iron (mg) in the 20-39 age group by gender
For the following questions, use MINITAB and show your MINITAB output unless instructed
otherwise. Using standard Normal tables is not required.
For full marks, make sure you use correct statistical notation when expressing probabilities,
show all relevant steps and round off each result with a comment.
Not sure how to present your work? The template posted under Week 3 might help.
(a) (2 marks) Based on these summary measures, does it make sense to assume that daily iron intake
levels for males and females in the 20-39 age group are Normally distributed? Explain briefly.
(b) (4 marks) Suppose that we plan to observe the mean daily iron intake for 50 randomly selected
females aged between 20 and 39 years. State the distribution of this mean (given reason). Ensure you
include a justification as well as the values of the mean and standard deviation for this distribution.
(c) (6 marks) Using your answer to part (b), find the probability that a sample of 50 randomly selected
women in the 20-39 age group will have the mean daily iron intake of at least 18 mg, the
recommended daily intake (RDI) for that age group.
(d) (8 marks) Suppose that we plan to observe the mean daily iron intake for 50 randomly selected men
aged between 20 and 39 years. Use MINITAB to find the probability that their mean daily iron intake
is below the RDI for men in that age group of 8 mg. If you are using Normal distribution for this
calculation, clearly state what quantity is assumed to be Normal and why. Also include values of the
mean and standard deviation for this distribution.
(e) (2 marks) Based on your results from parts (c) and (d), what can you conclude about daily iron intake
in the US population? Do Americans in the 20 to 39 age group get enough iron? Explain briefly.
1 Wright, JD, Wang,CY, Kennedy-Stephenson, J, Ervin, RB, Dietary Intake of Ten Key Nutrients for Public Health,
United States: 1999-2000, Advance Data 334, 17 April 2003, 1-4.

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