- Mathematical Methods
- Year 12
Sampling and Estimation
approx. 6 hrs
2 topics
14 concepts
Build mastery in statistical inference techniques.
approx. 6 hrs
2 topics
14 concepts
Build mastery in statistical inference techniques.
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.
This learning program is made up of the following 2 topics, broken down into 14 concepts.
Determine the population proportion
Use the binomial random variable of a sample proportion to find the mean and standard deviation of a large population
Use the sampling distribution to calculate probabilities, including conditional probabilities
Use the sampling distribution to find the mean and standard deviation of a small population
Construct a probability distribution table which summarises a sampling distribution using selections for small populations
Determine the sample proportion
Construct a probability distribution table which summarises a sampling distribution using the binomial distribution for large populations
For large samples, use the normal approximation to the binomial distribution to determine the mean and standard deviation
Discuss random sampling
Find an approximate C% confidence interval for a population proportion
Application of the rule for a margin of error with a 95% confidence interval
Compare confidence intervals
Find an approximate 95% confidence interval for a population proportion
Find a point estimate for a population proportion
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