7.13 Shapes of distributions

a. With random sampling, does the shape of the data distribution tend to resemble more closely the sampling distribution or the population distribution?

Explain.

b. Is the sampling distribution of the sample proportion always bell shaped? Investigate with the Sampling Distribution app by setting n = 30 and increasing the population proportion p from 0.5 to 0.95. (You can do this by clicking the box for p.) What do you observe?

c. Why is it inappropriate to assume a bell shape for the sampling distribution of the sample proportion when p = 0.95 and n = 30?