I have a homework question in which data is taken from three months of hospital admission data. It is then split into six 4-hour groups (0000–400, 0400–0800, etc.). The data are given with just the hour group and one column containing a number of admits. We are to draw a conclusion about how nurses should be scheduled based on this data. Is there any statistical or graphical method that would result in a significant conclusion, or is this a trick question, and the answer is that there isn't enough data to make a suggestion with any certainty?
Update: the values for the 4 hour window are for the entire 3 month period. So if the value that corresponded to 00:00-04:00 was 80 that would be 80 patients admitted between 00:00 and 04:00 over the last 3 months. If I did a single sample t-test using the values of column 2 and any values that were outside the CI, could I say that more nurses should be allocated to that hour group?