MathTrackX: Statistics
Understand fundamental concepts relating to statistical inference and how they can be applied to solve real world problems.
Monthly Subscription Starting at AED 99 + VAT
- Level Foundation
- Ratings
- المدة 30 hours
- الطبع بواسطة University of Adelaide
- Total students 6,309 enrolled
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Offered by
عن
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.
What you will learn
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The concept of a random sample, sources of bias in samples, and procedures to ensure randomness
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The concept of the sample proportion as a random variable
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The approximate normality of the distribution of proportions for large samples
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The concept of an interval estimates for a parameter associated with a random variable
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How to define the approximate margin of error for proportions.
Skills you learn
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
- Understand the concept of significance testing
- Estimate p-values and understand their role in hypothesis testing
- Understand and apply z-tests for population proportions
- Understand and apply t-tests for sample means.
Week 4: Assessment
There is a timed exam.
Dr Melissa Humphries
Dr David Butler
Dr Brendan Harding
Dr Danny Stevenson
Nicholas Crouch