Performance Metrics and Control Charts

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The data below shows the number of university students who waited more than 48 hours to get results
of a COVID test. The university has stated that 90% of students would get test results within 48 hours.
1. Determine if the process is stable and,
2. If so, determine if the process is capable.
Note that the sample sizes differ in each period, but the interpretation is the same.
Week
Students
> 48 Hrs
Rate
30-Aug
306
15
5%
6-Sep
318
24
8%
13-Sep
244
25
10%
20-Sep
310
27
9%
27-Sep
290
20
7%
4-Oct
297
29
10%
11-Oct
273
17
6%
18-Oct
311
32
10%
25-Oct
252
24
10%
1-Nov
266
23
9%
8-Nov
255
17
7%
15-Nov
297
19
6%
22-Nov
311
23
7%
29-Nov
319
27
8%
6-Dec
250
18
7%
13-Dec
287
20
7%
20-Dec
243
24
10%
27-Dec
206
18
9%

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