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.

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