Question

g Suppose you wish to perform a hypothesis test for a population mean. Suppose that the population standard deviation is known, the population distribution is Normal, and the sample is small. Would you perform a z-test or t-test?

Answer 1

z-test.

Explanation:

We want to perform an hypothesis test for a population mean.

In the case that the standard deviation of the population is known and the population distribution is normal, even if the sample is small, we will use a z-test.

The usual case is to not know the standard deviation of the population, in which case a t-test is adequate instead of a z-test, taking into account the degrees of freedom of the sample.