The processing times for patients at the walk-in clinic are given in the following table. The target processing time is 20 minutes with upper and lower limits of 30 and 10 minutes. Calculate a capability ratio for the data set. Also, calculate a Taguchi capability index, compare it to the capability ratio, and comment on the similarities or differences.

Patient # Process Time (min.) 1 23.6 35.8 20.5 4 24.5 25.3 20.5 34.8 8 13.0 26.2 10 21.5 11 18.9 12 27.6 13 13.7 14 25.0 15 21.3 16 14.7 17 16.8 18 15.7 19 32.0 20 16.3 21 24.8 22 17.1 23 17.7 24 13.3 25 19.1 26 18.5 27 18.3 28 14.4 29 21.4 30 19.1 3. LO