To test the value of the mean in a population when only sample mean and sample deviation are known to perform the test then it is appropriate to use z-test procedure.
What is a Z-test?
A statistical method of testing a hypothesis is the z-test where either:
- We are aware of the population variance, which is equal to 2.
- Despite the fact that we are unsure of the population variance, our sample size, n 30, is sizable. In this instance, we estimate the population variance using the sample variance.
- A t-test unlike of z-test must be used if the sample size is less than 30 and the population variance is unknown.
Additional prerequisites for using the z-test include the following:
- Data must follow a normal distribution.
- Independent data points are required.
- The variances for each sample must be equal.
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