Question: A population forms a normal distribution with a mean of µ=75 and a standard deviation of σ=20.

a. Sketch the distribution of sample means for sample means for samples of n=25 from this population.

b. What proportion of the sample means for n=25 have values less than 80? In other words, find p(M<80) for n=25.

c. Sketch the distribution of sample means for samples of n=100.

d. What proportion of the sample means for n=100 have values greater than 79? In other words, find p(M>79) for n=100.