A variable (X) of a population has a mean of 35 and a standard deviation of 42. a. If the variable is normally distributed, describe (shape, center, spread) the sampling distribution of the sample...

A variable (X) of a population has a mean of 35 and a standard deviation of 42.

a. If the variable is normally distributed, describe (shape, center, spread) 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? Explain.

c. Can you answer part (a) if the distribution of the variable under consideration is unknown, but the sample size is 36 instead of 9? Explain.