A variable of a population has a mean of μ = 100 and a standard deviation of σ = 28.​ Describe (tell us about its shape, mean and standard deviation) the sampling distribution of the sample mean for...

A variable of a population has a mean of μ = 100 and a standard deviation of σ = 28.​

1. 
   Describe (tell us about its shape, mean and standard deviation) the sampling distribution of the sample mean for samples of size 49​


2. In answering part (1), what assumptions did you make about the distribution of the variable?​


3. Can you answer part (1) if the sample size is 16 instead of 49? Why or why not?​