Question

Population A has a larger standard deviation than Population B. If samples of equal size are taken from both populations, which sample will have a smaller standard error of the mean?

a. Unable to determine with provided information

b. the sample from Population B

c. the sample from Population A

d. The samples will have the same standard error of the mean

Answer 1

Answer:

b. the sample from Population B

Solution:

We are given that the sample sizes will be equal for the given two samples.

So, population with larger standard deviation will have larger standard error and population with smaller standard deviation will have smaller standard error, because we know that the standard error is given as population standard deviation divided by the square root of sample size.