A Sampling Distribution of Sample Means, In Exercise 10, a population and sample size are given. (a) Find the mean and standard deviation of the population. (b) List all samples (with replacement) of the given size from the population and find the mean of each. (c) Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population.

10. The annual snowfall (in feet) for a central New York state county 1 = 58 0.12 6 - 23 Relative frequency 0.08 0.04 2 Snowfall (in feet) (a) U= =0.58 (b) (c) 41 = 5.8 OF = 0.23 U = = 5.8 OF = 2.3 O= = 0.23 -0.5 0 0.5 1.0 1.5 2 4 6 8 10 -2 0 2 4 6 8 10 12 Snowfall (in feet) Snowfall (in feet) Snowfall (in feet)