George and Charlotte are constructing sampling distributions. George’s parent population is strongly negatively skewed, and he...
George and Charlotte are constructing sampling distributions. George’s parent population is strongly negatively skewed, and he constructs his distribution by using a sample size of n = 500. Charlotte’s parent population is normally distributed, and she constructs her distribution by using a sample size of n = 50.
a. Which sampling distribution (George’s or Charlotte’s) should display a lower value for standard error? Explain your answer.
b. After many samples, will George’s sampling distribution be normal, positively skewed, or negatively skewed? Explain your answer.
Homework Answers
The amount of standard error in a sampling distribution is
denoted by 
that is, grater the sample size less the amount of error
a. George's sampling distribution should display a lower value of standard error.
b. After many samples George's sampling distribution will be Normal.
From the central limit theorem we know that when independent variables are addded their properly normalized sum tends to normal ditribution with the increasing sample size.
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