Question

Below are statements about standard error. State exactly two that are true.

As long as sample size is at least 2, standard error is smaller than standard deviation

If sample size is increased, standard error is also decreased.

standard error measures the variability in the sample data.

in a confidence interval, when standard error is increased, the margin of error is increased.

Answer 1

Correct answers:

1) As long as sample size is at least 2, standard error is smaller than standard deviation

2) If sample size is increased, standard error is also decreased.

Explanation;

1) Standard error = Standard deviation / square root (n)

Thus, as long as sample size is at least 2, standard error is smaller than standard deviation

2) The standard error is inversely proportional to sample size. Hence if the sample size (n) increases then standard error decreases.