The standard deviation for two different distributions is 12. The sample size for one of the distributions is 36. Which of the following sample sizes for the other distribution will produce the greatest amount of standard error?
A) 49
B) 64
C) 81
D) Not enough information is provided to make the determination.

Question

Quizplus · Accepted Answer

The standard error is calculated as the standard deviation divided by the square root of the sample size. A smaller sample size results in a larger standard error. Among the given options, 49 is the smallest sample size, thus producing the greatest standard error.

The Standard Deviation for Two Different Distributions Is 12