Which combination of factors will produce the largest value for the standard error?
A)A large sample and a large standard deviation
B)A small sample and a large standard deviation
C)A large sample and a small standard deviation
D)A small sample and a small standard deviation

Question

Quizplus · Accepted Answer

Standard error is calculated as the standard deviation of the sample divided by the square root of the sample size. Thus, a smaller sample size will lead to a larger standard error. Additionally, a larger standard deviation means that the data points are more spread out from the mean, which can lead to a larger standard error as well. Therefore, option B (a small sample and a large standard deviation) will produce the largest value for the standard error.

Which Combination of Factors Will Produce the Largest Value for the Standard