5. The administrators at General Hospital are attempting to determine if more staff is needed on the eighth floor of the hospital at night. Suppose a random sample of 30 nights was selected to estimate the night workload for nurses on the eighth floor at General Hospital.For each night in the sample, the total number of room calls to the nurse station floor was recorded.The administrators found that the mean number of calls is 25.5 calls per night. The data that resulted from the study have been summarized in the stem-and-leaf display below. (19 points)

Number of Room Calls

1 : 5789

2 : 0000011122234

2 : 556788

3 : 0123

3 : 57

4 :

4 :

5 :

5 :

6 : 2key:1|7 = 17 room calls to the 8^th floor nurses station

a) What is the median number of calls for the 30 nights in the sample? (4 points)

b) What is the mode for this sample? (4 points)

c) What percent of the room calls exceed the mean number of calls the administrators found in the sample? (4 points)

d) Describe the distribution of room calls based upon the sample data. Identify any unusual or distinctive features, including the shape of the distribution. (3 points)

e) Assume you are an administrator for General Hospital. Should you hire more nurses to work the night shift on the 8^th floor of the hospital? Explain completely and use the shape of the distribution to support your answer. (4 points)