Which set of characteristics will produce the smallest value for the estimated standard error?
A)A large sample size and a small sample variance
B)A large sample size and a large sample variance
C)A small sample size and a small sample variance
D)A small sample size and a large sample variance

Question

Which set of characteristics will produce the smallest value for the estimated standard error?​
A)​A large sample size and a small sample variance
B)​A large sample size and a large sample variance
C)​A small sample size and a small sample variance
D)​A small sample size and a large sample variance

Quizplus · Accepted Answer

The standard error is inversely proportional to the sample size and directly proportional to the sample variance. Therefore, a large sample size and small sample variance will produce the smallest value for the estimated standard error.

Which Set of Characteristics Will Produce the Smallest Value for the Estimated