A teacher would like to estimate the mean amount of time it takes for students taking this statistics class to complete this multiple-choice assessment item. To do so, she selects a random sample of 50 students enrolled in
this statistics class and records the amount of time (in minutes) it takes them to complete this question. The
standard error of the mean is 0.27 minutes. What is the interpretation of the standard error of the mean?
In the random sample of 50 students, the mean amount of time needed to complete this question is about 0.27
minutes.
If we select many random samples of students enrolled in this statistics class, the mean amount of time needed to
complete this question is about 0.27 minutes.
In the random sample of 50 students, the sample mean amount of time needed to complete this question varied
by about 0.27 minutes from the population mean.
If we select many random samples of students enrolled in this statistics class, the sample mean amount of time
needed to complete this question would typically vary by about 0.27 minutes from the population mean.