Discuss the below:
Q: Suppose that we will take a random sample of size n from population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean:
(a) µ = 12 , σ = 2.2 , n = 25 (Round your answers of "σ " to 4 decimal places and "σ 2" to 3 decimal places.)
(b) µ = 510 , σ = .5 , n = 110 (Round your answers of "σ " to 4 decimal places and "σ 2" to 3 decimal places.)
(c) µ = 5 , σ = .3 , n = 4
(d) µ = 110 , σ = 1.2 , n = 1,800 (Round your answers of "σ " to 4 decimal places and "σ 2" to 3 decimal places.)