A variable of a population has a mean of =83 and a standard deviation of =12. a. Identify the sampling distribution of the sample mean for samples of size 36 . b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 36 ? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed bimodal.