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Name the sampling method in each made-up plan…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Name the sampling method in each made-up plan.
- A health team numbers the 40 villages of a district, picks 4 villages at random and tests everyone in them.
- A factory tests every 50th phone that comes off the line, starting from the 13th.
- A bank splits its customers into young, middle-aged and older, and picks a simple random sample from each group.
- A teacher puts the numbers 1 to 32 into a program and picks 8 of them with
random.sample.
Need a reminder? The key ideaShow
Systematic: step and a random start. Stratified: a simple random sample inside each stratum; proportional allocation gives stratum the share . Cluster: whole groups chosen at random. An estimate from strata weights each stratum by its share of the population.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, compare your working with the solution.
- Cluster sample. The villages are clusters, chosen at random, and everyone in a chosen village is tested.
- Systematic sample. A random start, then a fixed step of 50.
- Stratified sample. The age groups are strata, and each gets its own simple random sample.
- Simple random sample. Every group of 8 numbers is equally likely.
Watch out. Plans 1 and 3 both use groups. In 1 the groups are chosen whole. In 3 every group gives some members.
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