Answer to Question #300606 in Statistics and Probability for Shaaz

Question

1.     i.  What happens to the margin of error when sample size increases? Does it increase, decrease, or stay the same?

ii.    How does this affect the size of the resulting confidence interval?

Answer 1

Solution:

(i):

As the sample size increases, the margin of error decreases.

(ii):

Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error