Question

What are real-world examples of when to use the one-sample z-test?

Answer 1

we can use z test for population mean in real world as follows. for example:-

A researcher thinks a hypothesis about surgery that if knee surgery patients go to physical therapy twice a week (instead of 3 times), their recovery period will be longer. Average recovery times for knee surgery patients is 8.2 weeks.

The hypothesis statement in this question is that the researcher believes the average recovery time is more than 8.2 weeks. It can be written in mathematical terms as:

H1: μ > 8.2

H0 μ ≤ 8.2

when we can easily use z test in this case

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