e following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals. Hospital A waiting Times (Minutes) Frequency of Patients Hospital B waiting Times (Minutes) Frequency of Patients 6-10 2 6-10 4 11-15 10 11-15 17 16-20 25 16-20 35 21-25 37 21-25 27 26-30 26 26-30 20 31-35 20 31-35 17 36-40 18 36-40 9 41-45 12 41-45 6 46-50 10 46-50 5 Total 160 Total 140 a) Determine the mean and standard deviation of waiting times for each hospital; b) Determine the coefficient of variation for each hospital’s waiting times; c) Determine the coefficient of skewness for each hospital’s waiting times; d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals.
The following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals.
|
Hospital A waiting Times (Minutes) |
Frequency of Patients |
Hospital B waiting Times (Minutes) |
Frequency of Patients |
|
6-10 |
2 |
6-10 |
4 |
|
11-15 |
10 |
11-15 |
17 |
|
16-20 |
25 |
16-20 |
35 |
|
21-25 |
37 |
21-25 |
27 |
|
26-30 |
26 |
26-30 |
20 |
|
31-35 |
20 |
31-35 |
17 |
|
36-40 |
18 |
36-40 |
9 |
|
41-45 |
12 |
41-45 |
6 |
|
46-50 |
10 |
46-50 |
5 |
|
Total |
160 |
Total |
140 |
- a) Determine the mean and standard deviation of waiting times for each hospital;
- b) Determine the coefficient of variation for each hospital’s waiting times;
- c) Determine the coefficient of skewness for each hospital’s waiting times;
- d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals.
Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
The data given for hospital A is shown below
| Class | Frequency |
| 6 - 10 | 2 |
| 11 - 15 | 10 |
| 16 - 20 | 25 |
| 21 - 25 | 37 |
| 26 - 30 | 26 |
| 31 - 35 | 20 |
| 36 - 40 | 18 |
| 41 - 45 | 12 |
| 46 - 50 | 10 |
For Hospital B
| Class | Frequency |
| 6 - 10 | 4 |
| 11 - 15 | 17 |
| 16 - 20 | 35 |
| 21 - 25 | 27 |
| 26 - 30 | 20 |
| 31 - 35 | 17 |
| 36 - 40 | 9 |
| 41 - 45 | 6 |
| 46 - 50 | 5 |
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