Suppose that we will take a random sample of size n from a population having mean and standard deviation . For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean :

(a) = 16, = 6, n = 44 (Round your answers of"" and "²" to 4 decimal places.)

2

(b) = 570, = .3, n = 112 (Round your answers of"" and "²" to 4 decimal places.)

2

(c) = 7, = .6, n = 6 (Round your answers of"" and "²" to 4 decimal places.)

2

(d) = 109, = 2, n = 1,003 (Round your answers of"" and "²" to 4 decimal places.)

2