Suppose we artificially categorize populations as approximately normal or not, and samples as large or small. This categorization results in 4 categories:
a) Small samples from an approximately normal population
b) Large samples from an approximately normal population
c) Small samples from a population that is not approximately normal
d) Large samples from a population that is not approximately normal What, if anything, can be said about the shape of the sampling distribution of for each of these 4 situations?

Question

Suppose we artificially categorize populations as approximately normal or not, and samples as large or small. This categorization results in 4 categories: 
a) Small samples from an approximately normal population 
b) Large samples from an approximately normal population 
c) Small samples from a population that is not approximately normal 
d) Large samples from a population that is not approximately normal What, if anything, can be said about the shape of the sampling distribution of  for each of these 4 situations?

Quizplus · Accepted Answer

The Answer of Suppose we artificially categorize populations as approximately normal or not, and samples as large or small. This categorization results in 4 categories: 
a) Small samples from an approximately normal population 
b) Large samples from an approximately normal population 
c) Small samples from a population that is not approximately normal 
d) Large samples from a population that is not approximately normal What, if anything, can be said about the shape of the sampling distribution of  for each of these 4 situations?

Suppose We Artificially Categorize Populations as Approximately Normal or Not