The z-test is appropriate under the following conditions:
- The study involves a single sample mean and the parameters µ and of the null hypothesis population are known
- The sampling distribution of the mean is normally distributed
- The size of the sample is N ≥ 30
We use the z-test when the mean of the population is known. In the z-test, we ask the question of whether the population mean, µ, is different from a hypothesized value. The null hypothesis in the case of the z-test is as follows:
Here, µ is the population mean and is ...