Question

what is the lowest valeu of the sample mean in this sampling distribution

Answer 1

We have population size N and sample size n.

Select a random sample of size $n$ with replacement.

The lowest value of the sample mean in this sampling distribution is equal to the lowest number in given population.

Arrange the numbers of population in ascending order. 

Select a random sample of size $n$ without replacement.

The lowest value of the sample mean in this sampling distribution is equal to the mean of the $n$ smallest numbers of population.