MathTrackX: Statistics

Overview

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This course is part six of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.

This course will build on probability and random variable knowledge gained from previous courses in the MathTrackX XSeries with the study of statistical inference, one of the most important parts of statistics.

Guided by experts from the School of Mathematics and the Maths Learning Centre at the University of Adelaide, this course will cover random sampling, sample means and proportions, confidence intervals for sample means and proportions and one-sample tests of proportions and means.

Join us as we provide opportunities to develop your skills and confidence in applying mathematics to solve real world problems.

Syllabus

Week 1: Sample means

Understand the concept of random samples, sample distributions and sample means
Calculate the mean and standard deviation of sample distributions and sample means
Understand the behaviour of sample distributions and sample means for large sample sizes
Understand, construct and interpret confidence intervals for sample means.

Week 2: Sample proportions

Understand the concept of sample proportions and population proportions
Calculate the mean and standard deviation of sample proportions and population proportions
Understand the behaviour of sample proportions and population proportions for large sample sizes
Understand, construct and interpret confidence intervals for population proportions.

Week 3: Significance tests