Discuss, in relative terms, the sample size needed for an application of a normal distribution for the sample mean when sampling is from each of the following populations. (Assume the population standard deviation is known in each case.)
a. A normal population
b. A mound-shaped population, close to normal
c. A discrete population consisting of the values 1,006, 47, and 0, with equal frequencies
d. A slightly skewed population e. A highly skewed population.