The administrator at Saint Frances Hospital is concerned about the amount of overtime the nursing staff is incurring and wonders whether so much overtime is really necessary. The hospital employs 60 nurses. Following is the number of hours of overtime reported by each nurse last week. These data are the population of interest.

Nurse Overtime Nurse Overtime Nurse Overtime 1 2 21 4 41 3 2 1 22 2 42 3 3 7 23 3 43 2 4 0 24 5 44 1 5 4 25 5 45 3 6 2 26 6 46 3 7 6 27 2 47 3 8 4 28 2 48 3 9 2 29 7 49 4 10 5 30 4 50 6 11 5 31 4 51 0 12 4 32 3 52 3 13 5 33 3 53 4 14 0 34 4 54 6 15 6 35 5 55 0 16 0 36 5 56 3 17 2 37 0 57 3 18 4 38 0 58 7 19 2 39 4 59 5 20 5 40 3 60 7 Devise a method to select a random sample of 6 nurses.
Determine the mean hours of overtime for these 6 nurses and calculate the sampling error associated with this particular sample mean.