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Real World Project (grade: 8.6!)

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This is a case study of two analyses. One is about the life expectancy of European countries compared to global life expectancy. The other analysis concerns the proportion of 65+ year old residents in the Netherlands compared to the country of Tuvalu. The analyses both follow a clear structure and a t-test and a z-test are being developed. In addition, the significance level, the p-value and the formulation of the hypotheses are taken into account. The conclusions of both analyses were last explained.

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Real-World Project: Analyses on the Life Expectancy and 65+ Year Old Inhabitants


Department of Management, Nyenrode Business University
MSc32: Business Statistics
Bin Yu
November 2, 2023

, 2


Introduction
For this Real-World Project, two analyses are conducted. One on the basis of the life
expectancy of European countries compared to the global life expectancy rate, and the other on the
proportions of 65+ year inhabitants in The Netherlands and Tuvalu. The life expectancy is defined as
the years that people are expected to live as of people who are less than 1 year old.
The used data consists of the following variables:
- Life expectancy of 30 countries in Europe in 2022 (Eurostat, 2023)
- Life expectancy of 237 countries worldwide in 2022 (Macrotrends, 2023a)
- Number of inhabitants of 65+ years in The Netherlands in 2022 (CBS, n.d.)
- Number of inhabitants of 65+ years in Tuvalu in 2022 (Macrotrends, 2023b)
The conducted tests are therefore:
1. A test on the difference in the average life expectancy in 30 European countries (as a sample)
and the global life expectancy (as the population) in 2022.
2. A test to compare the proportions of 65+ year old inhabitants in The Netherlands and Tuvalu
in 2022.
Testing if there are any significant differences between the global life expectancy against the
life expectancy in Europe is considered as the main purpose of this report. Nevertheless, both tests
provide valuable insights into societal health and demographic trends, making the tests relevant for
social and business purposes.
Both tests are executed with a 95% confidence interval and a significance level of α= 0,05,
meaning there is a willingness to accept a 5% risk of making a Type I error in the hypothesis test.
Proportion Mean Variance
One sample Analysis 1
Two sample Analysis 2
Table 1 – Performed analyses

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Uploaded on
December 10, 2023
Number of pages
9
Written in
2023/2024
Type
Case
Professor(s)
Bin yu
Grade
8-9

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