Practice question · Put in order
Order the stages of a statistical inference from population to conclusion.
- Define the population and the parameter you want to know
- Use the sampling distribution to describe how much that statistic varies
- State a conclusion about the parameter together with its uncertainty
- Compute the sample statistic that estimates the parameter
- Draw a random sample, avoiding systematic bias in selection
Hints
- Randomness has to be built in at collection time; it cannot be added later.
- Uncertainty can only be quantified once the variability of the statistic is known.
Show the answer
- Define the population and the parameter you want to know
- Draw a random sample, avoiding systematic bias in selection
- Compute the sample statistic that estimates the parameter
- Use the sampling distribution to describe how much that statistic varies
- State a conclusion about the parameter together with its uncertainty
Why
Representativeness comes first because no analysis repairs a biased sample. The sampling distribution then converts a single number into a number with an honest margin, which is what the following lessons formalise.
Practise Sampling and the Central Limit Theorem
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