Suppose that we will take a random sample of size n from a population having mean µ and standard deviation σ. For each o

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Suppose that we will take a random sample ofsize n from a population havingmean µ and standard deviation σ.For each of the following situations, find the mean, variance, andstandard deviation of the sampling distribution of the samplemean
:
(a) µ =18, σ = 2, n =22 (Round your answersof "σ
" and "σ
2" to 4 decimalplaces.)
(b) µ =494, σ = .3, n =125 (Round your answersof "σ
" and "σ
2" to 4 decimalplaces.)
(c) µ =2, σ = .4, n =9 (Round your answersof "σ
" and "σ
2" to 4 decimalplaces.)
(d) µ =144, σ = 8, n =1,159 (Round your answersof "σ
" and "σ
2" to 4 decimalplaces.)