Across Canada, a mean number of 1936.9 students from each University consider registering for evening classes (with a standard deviation equal to 3.13). At the beginning of the new academic term, McMaster University samples 4468 of its students to find out their opinion on evening classes. What is the standard deviation of the sampling distribution for the mean number of students considering registering for evening classes based on this sample size?

Note:

1- Round any intermediate numbers to 4 decimal places.

2- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places.