If X is a normal random variable with mean 10 and standard deviation 2, i.e. X ~ N (10, 4). Define and compare the sampling distribution for samples of size: (a) 2, (b) 4, and (c) 16. If X is any...

If X is a normal random variable with mean 10 and standard deviation 2, i.e. X ~ N (10, 4). Define and compare the sampling distribution for samples of size: (a) 2, (b) 4, and (c) 16.

If X is any random variable with mean = 63 and standard deviation = 10. Define and compare the sampling distribution for samples of size: (a) 40, (b) 60, and (c) 100.