A teacher started class one day by drawing the names of 10 students out of a hat and asked them to accomplish as much 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?
The following are answer options
a. 2.846
b. 0.900
c. 3.061
d. 4.743