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 Using the random numbers table in Appendix A with a starting point in column (digit) 14 and row 10, select a random sample of 6 nurses. Go down the table from the starting point. Determine the mean hours of overtime for these 6 nurses and calculate the sampling error associated with this particular sample mean.