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“The one who has the most
data wins.” A modification of that quip may be more accurate.
“The one who has the most data—made easily understood
for others, particularly decision makers—wins!” Being
able to properly gather and understand data—and subsequently
make it clearly understandable to others—is a major key to
success in a variety of career fields.
Statistics is the mathematical science of data gathering, analysis,
and interpretation. The operative word is science. Although it is
a discipline of mathematics and is always taught as part of the
math curriculum, statistics is more than math. It is the portion
of math for which the scientific method is the guiding principle.
Since all modern science relies on data, wherever and whenever good
science is found, there will also be sound statistics. The two are
inseparable.
Probability, Sampling, and Hypothesis Testing demonstrates
some very powerful and key statistical ideas using everyday data.
This module introduces you to: modern exploratory data analysis,
randomized sampling, a working understanding of the Central Limit
Theorem, a working understanding of error and risk, confidence interval
building/interpretation, and hypothesis testing/interpretation.
This module also helps you develop a new sense of appreciation for
the sheer power of statistics and the major role it plays in science
and technology.
After completing this module, you should be able to demonstrate
the following competencies:
- Use summary techniques such as box plots, stem and leaf plots,
and percentiles to analyze and interpret data sets (Comp. 1).
- Use the techniques of sampling and recognize the nature of variability
in sample data, including the use of computer analysis tools (Comp.
2).
- Using sample data, make predictions based on the foundational
principles of the Central Limit Theorem (Comp. 3).
- Using normal distribution, analyze error and determine a significance
level based upon risk with which the user is comfortable (Comp.
4).
- Analyze variability in a process using hypothesis testing
(Comp. 5).
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