Given a set of scores in a normal distribution with a mean of 80, standard deviation of 4, and sample size of 100.
-If the sample were increased to 200 participants would we expect to happen to the standard error?
A) The standard error would be unaffected
B) The standard error would decrease
C) The standard error would increase
D) The standard error would double

Question

Quizplus · Accepted Answer

The standard error is calculated by dividing the standard deviation by the square root of the sample size. As the sample size increases, the standard error decreases. In this case, doubling the sample size from 100 to 200 would result in the square root of 2 (approximately 1.41) times decrease in the standard error, leading to a decrease in choice B.

Given a Set of Scores in a Normal Distribution with a Mean