The mean of the distribution shown in the follow-ing histogram is 41.5 and the standard deviation is 4.7. Consider taking random samples of size n = 4 from thisdistribution and calculating the sample...

The mean of the distribution shown in the follow-
ing histogram is 41.5 and the standard deviation is 4.7.

Consider taking random samples of size n = 4 from this
distribution and calculating the sample mean, y, for each
sample.

(a) What is the mean of the sampling distribution of Y?
(b) What is the standard deviation of the sampling
distribution of Y?