# Applied Management Statistics Task brief

BCO127 Applied Management Statistics
Assignment: The assignment is worth 10% of your marks for this course
Deadline and submission: Your assignment must be submitted via Turnitin on Moodle before 23:59 on Friday 21th February 2020.
Word count: Your work is individual and should be uploaded in Moodle using Turnitin. Avoid any “copy-paste” practice to prevent possible problems of plagiarism.
Title: Built on the acquired theoretical and practical knowledge of the first part of the semester you are required to solve the following problems:

1. (50% of assignment grade) Food oils and health: a combination of inputs
You are the manager of the catering service of a hospital. You know that, fatty acids, despite their unpleasant name, are necessary for human health. Two types of essential fatty acids, called omega-3 and omega-6, are not produced by our bodies and so must be obtained from our food. Food oils, widely used on food processing and cooking, are major sources of these compounds. There is some evidence that a healthy diet should have more omega-3 than omega-6. The following table gives the ratio of omega-3 to omega-6 in some common food oils. Values greater than 1 show that an oil has more omega-3 than omega-6.
A) Make a histogram of these data, using classes bounded by the whole numbers from 0 to 6.
B) What is the shape of the distribution? How many of the 30 food oils have more omega-3 than omega-6? What does this distribution suggest about the possible health effects of modern food oils?
C) The table below contains entries for several fish oils (cod, herring, menhaden, salmon, sardine). How do these values support the ide that eating fish is healthy?

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Source: Moore, David S.; Notz, William; Fligner, Michael A. (2018) The Basic Practice of Statistics. 6e New York: W.H. Freeman

BCO127 Applied Management Statistics Task brief

2. (50% of assignment grade) Maternal age at childbirth is a matter of study in demographic economics because fertility rates have an impact on women’s labour force participation and, hence, on country’s productivity.
How old are women when they have their first child? Here is the distribution of the age of the mother for all first children in the United States in 2014.
a) For comparison with other years and with other countries, we prefer a histogram of the parents in each age class rather than the counts. Explain why.
b) How many babies were there?
c) Make a histogram of the distribution, using percent of the vertical scale. Using this histogram, describe the distribution of the age at which women have their first child.
d) What are the locations of the median and quartiles in the ordered list of all maternal ages? In which age classes do the median and quartiles fall?

Age Count Age Count
10-14 years 2,769 30-34 years 326,391
15-19 years 205,747 35-39 years 114,972
20-24 years 445,523 40-44 years 23,941
25-29 years 428,762 45-49 years 2,169

The number of firstborn children to mothers under 10 or over 50 years of age represent a negligible percentage of all first births and are note included in the table.
Source: Moore, David S.; Notz, William; Fligner, Michael A. (2018) The Basic Practice of Statistics. 6e New York: W.H. Freeman

275 words
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