1. What is the physical significance of process capability index and how does it differ from process capability ratio?

   (6 marks)

2. (b) Three packaging machines at the ABC chips manufacturing company are being evaluated for their process capabilities. The following data are recorded for the machines.

Packaging Machine

A B C

Standard Mean deviation

0.2 97 ? 0.7 99 ? 0.4 100 excellent

If the upper specification limit is equal to 105% of the lower specification limit, calculate the upper and the lower specification limits for all three machines. Determine which of the machines is the most capable.

(6 marks)

(c) The Dreamworld Travel Agency is monitoring the percentage of packaged holiday trips that contain errors. The results of 14 samples are shown below. Each sample contains 70 items.

1586 2693 3 7 10 5 4 5 11 7 5 6 12 2 6 5 13 3 7 5 14 6

What are the UCL and LCL for the process? Draw an approximate control chart and comment on the process.

(a) What is the physical significance of process capability index and how does it differ from process capability ratio? (6 marks) (b) Three packaging machines at the ABC chips manufacturing company are being evaluated for their process capabilities. The following data are recorded for the machines. Packaging Machine Standard Mean deviation A 0.2 97 ? B 0.7 99 ? 0.4 100 excellent If the upper specification limit is equal to 105% of the lower specification limit, calculate the upper and the lower specification limits for all three machines. Determine which of the machines is the most capable. (6 marks) (c) The Dreamworld Travel Agency is monitoring the percentage of packaged holiday trips that contain errors. The results of 14 samples are shown below. Each sample contains 70 items. Sample Sample 2 3 4 5 6 7 Number of Defective Units 5 6 7 5 6 5 5 8 9 10 11 12 13 14 Number of Defective Unit 6 3 5 7 2 3 6 What are the UCL and LCL for the process? Draw an approximate control chart and comment on the process. (a) What is the physical significance of process capability index and how does it differ from process capability ratio? (6 marks) (b) Three packaging machines at the ABC chips manufacturing company are being evaluated for their process capabilities. The following data are recorded for the machines. Packaging Machine Standard Mean deviation A 0.2 97 ? B 0.7 99 ? 0.4 100 excellent If the upper specification limit is equal to 105% of the lower specification limit, calculate the upper and the lower specification limits for all three machines. Determine which of the machines is the most capable. (6 marks) (c) The Dreamworld Travel Agency is monitoring the percentage of packaged holiday trips that contain errors. The results of 14 samples are shown below. Each sample contains 70 items. Sample Sample 2 3 4 5 6 7 Number of Defective Units 5 6 7 5 6 5 5 8 9 10 11 12 13 14 Number of Defective Unit 6 3 5 7 2 3 6 What are the UCL and LCL for the process? Draw an approximate control chart and comment on the process