A variable of a population has a mean of 35 and a standard deviation of 42.
a. If the variable is normally distributed, identify the sampling distribution of the sample mean for samples of size 9.
b. Can you answer part a if the distribution of the variable under consideration is unknown?
c. Can you answer part a if the distribution of the variable underconsideration is unknown but the sample size is 36 instead of 9?
I have, for part a, the mean is 35 and standard deviation 14, but I'm not sure about parts b and c. I have only worked with normal distribution, how do you figure when distribution is unknown?