In ZTR Industries it is known for a variable quality control process that the upper and lower limits, in an appropriate graph, are 13.7 and 9.2 respectively. By design, the process specifications are...

In ZTR Industries it is known for a variable quality control process that the upper and lower limits, in an appropriate graph, are 13.7 and 9.2 respectively. By design, the process specifications are known to be 9.5 ± 2.8. Which of the following statements are not true? I. If, due to potential capacity, the process is expected to fail by more than 36.81%, the number of elements sampled per group is less than 5. II. If the process is expected to fail by more than 0.0967%, the number of elements sampled should be approximately 10. III. The process is under statistical control. Please justify the answers.