A health care facility is interested in monitoring the primary C-section rate. Monthly data on the number of C sections collected over the two and half years is shown below.
|
Month
|
C-Sections
|
Number of Deliveries
|
Month
|
C-Sections
|
Number of Deliveries
|
|
1
|
54
|
380
|
16
|
60
|
413
|
|
2
|
50
|
384
|
17
|
62
|
366
|
|
3
|
63
|
415
|
18
|
65
|
405
|
|
4
|
69
|
422
|
19
|
52
|
386
|
|
5
|
55
|
395
|
20
|
55
|
392
|
|
6
|
63
|
412
|
21
|
61
|
408
|
|
7
|
67
|
407
|
22
|
66
|
442
|
|
8
|
67
|
415
|
23
|
53
|
426
|
|
9
|
51
|
377
|
24
|
47
|
385
|
|
10
|
62
|
404
|
25
|
79
|
413
|
|
11
|
64
|
377
|
26
|
60
|
388
|
|
12
|
62
|
382
|
27
|
69
|
411
|
|
13
|
62
|
425
|
28
|
61
|
378
|
|
14
|
55
|
410
|
29
|
70
|
392
|
|
15
|
68
|
426
|
30
|
65
|
420
|
a) Is the process in control?
b) Determine whether or not the control chart can be constructed using an average sample size. If this is possible, construct the control chart using the average sample size rather than the variable sample size. [3]
c) There is pressure to make these data public. Can we conclude that the C-section rates have shifted to a higher level in the last six months relative to the previous six months. Construct a control chart to illustrate the data in the first 24 months relative to the data in the last 6 months. [2]
d) What is your prediction on the C-section rate if no changes are made in current obstetrics practices? [1]
e) Based on benchmarking with comparable facilities in similar metropolitan areas, is it feasible to currently achieve a C-section rate of 10%? Construct the control chart using the 10% as the standard (centerline), rather than having Minitab calculate it from the data. (Use the options tab for this).