A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. What is the standard error of the mean?
A)0.900
B)2.876
C)3.061
D)4.743

Question

Quizplus · Accepted Answer

The standard error of the mean (SEM) is calculated by dividing the standard deviation by the square root of the sample size. Here, the standard deviation is 9 pushups, and the sample size is 10 students. Thus, SEM = 9 / sqrt(10) = 9 / 3.162 = 2.846, which rounds to approximately 2.876.

A Statistics Teacher Started Class One Day by Drawing the Names