Test of Hypotheses, Simplified Engineering Approach

Friendly guide to formulate and test statistical hypotheses. Engineering approach is adopted with lots of examples.
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  • Lectures 41
  • Length 6 hours
  • Skill Level Intermediate Level
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 9/2014 English

Course Description

In this course, students will be introduced to main aspects of statistical hypotheses. A simple engineering approach is adopted with several of examples to explain ideas. The course explains and develop skills toward proper hypotheses formulation and testing methodologies. Major points about hypotheses on the mean and variance of a population are covered.

Finally, we make the use of both Minitab and Matlab software to help us quickly perform our tests. Friendly tutorials are given with examples for both software.

What are the requirements?

  • Pre-knowledge in elementary probabilities and/or statistics
  • Understanding probability distributions, specially normal distribution

What am I going to get from this course?

  • Proper hypotheses formulation
  • Understanding the test statistics
  • Utilizing confidence intervals and P-Values
  • Understanding of concerns about type I and type II errors
  • Make usage of Minitab software to check hypotheses
  • Use Matlab coding to check for hypotheses

What is the target audience?

  • Students with concerns to statistics field
  • Engineers doing experiments related to statistical measures

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Introduction to Hypotheses Testing

You will get refreshing information about probabilities, statistics distribution. The focus is given to understand normal probability distribution.

What is a hypothesis?
Formulation of hypotheses
Sampling distribution
Quiz set 1
1 page
Section 2: Tests on Population Mean, Population Variance is Known
Performing the test on the mean
Confidence intervals
Quick summary
One sided tests
More on one sided tests
Quiz set 2
1 page
Section 3: Tests on Population Mean, Population Variance is Unknown
Performing the test
Using confidence interval and P-Value
Example: large sample size
Quiz set 3
1 page
Section 4: Errors in Hypotheses Testing
Type I and type II errors
Choosing the sample size
Quiz set 4
1 page
Section 5: Tests on Population Variance

Learn how to use Chi-2 test on a population variance.

One sided tests on the variance
Confidence interval and P-Value
Quiz set 5
1 page
Section 6: Minitab Software Tutorial

Introduce to Minitab software environment. Basic issues are covered.

Performing the Z-tet
Performing the t-test
Tests on variance
Quiz set 6
1 page
Section 7: Using Matlab for Hypothesis Testing
Introduction to Matlab 1
Introduction to Matlab 2
Using M-Files in Matlab
One sample Z test using Matlab
Confidence Interval in Matlab for Z test
P-Value in Matlab for Z test
Matlab code files
2 pages
Performing t and chi^2 tests in Matlab
1 page
Example: One sided test on variance using Matlab
3 pages
Section 8: Appendices
114 pages

This is the full course material in a single pdf file, total of 114 slides.

Main probability distributions tables (Ref: Montgomery and Runger)
4 pages
Operating Characteristic Curves (OCC) (Ref: Montgomery and Runger)
7 pages

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Instructor Biography

Misbah Aiad, Engineer, Tutor

A PhD candidate in the school of Electrical and Electronic Engineering at Nanyang Technological University in Singapore. My research interests are in areas of energy management, applied statistics, optimization engineering and machine learning. I have done my MSc degree at University of Jordan, Jordan in 2013 with study and research focus on Energy Management, my thesis was about hybrid renewable energy systems optimization and selection for different local conditions.

Previously, I have done my BSc degree at the Islamic University of Gaza, Palestine in 2009 in Electrical Engineering.

After graduation of BSc degree, I have worked as a teaching assistant in my university for one semester. Then, I have worked in Projects and Research Lab at same university as a Lab technician and supervisor (from Dec 2009 to Dec 2010).

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