Mathematical Methods
Year 12

Sampling and Estimation

approx. 6 hrs

2 topics

14 concepts

Build mastery in statistical inference techniques.

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Available in

NT QLD SA TAS VIC WA

Overview

Sampling and Estimation is the culmination of earlier work on probability and random variables. Statistical inference is one of the most imporant parts of statistics, in which the goal is to estimate an unknown parameter associated with a population using a sample of data drawn from that population. We will explore estimating proportions in two-outcome populations.

Topics & Concepts We Cover

This learning program is made up of the following 2 topics, broken down into 14 concepts.

Random Sampling 9 concepts
1. Use the sampling distribution to find the mean and standard deviation of a small population
2. Determine the population proportion
3. Determine the sample proportion
4. Construct a probability distribution table which summarises a sampling distribution using selections for small populations
5. For large samples, use the normal approximation to the binomial distribution to determine the mean and standard deviation
6. Construct a probability distribution table which summarises a sampling distribution using the binomial distribution for large populations
7. Use the binomial random variable of a sample proportion to find the mean and standard deviation of a large population
8. Use the sampling distribution to calculate probabilities, including conditional probabilities
9. Discuss random sampling
Confidence Intervals 5 concepts
1. Find a point estimate for a population proportion
2. Find an approximate C% confidence interval for a population proportion
3. Find an approximate 95% confidence interval for a population proportion
4. Application of the rule for a margin of error with a 95% confidence interval
5. Compare confidence intervals

What you'll get

Learning Content

A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

We match you to a private, expert tutor who is right for your needs and goals
Our tutors are talented, tested, top ATAR achievers and subject experts
During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Sampling and Estimation

Reporting

Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
You and your parents receive a comprehensive feedback report after every session
Every session is recorded and available for you to watch at any time, allowing you to review what was covered