Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

12. The upper and lower control limits for diving ring diameters made by John\'s

ID: 343554 • Letter: 1

Question

12. The upper and lower control limits for diving ring diameters made by John's Swimming are 40 cm and 39 cm, respectively. John took 11 samples from the real production. The samples had the following average diameters: 39, 39.1, 39.2, 39, 39.3, 39.5, 39.2, 39.1, 38.6, 39.2, 39.5 cm. Is the process under statistical control?

No, there is a distinguishable pattern in the sample means.

No, at least one sample mean is outside the control range.

Cannot be determined

Yes, all sample means fall within the control range.

13. Suppose the Earliest Start time of an activity is day 5 and the Earliest Finish time of the activity is day 8 in a CPM network. The Latest Start time of the activity is day 6. Which of the following statements is INCORRECT?

The slack time of the activity is 3 days.

The activity time is 3 days.

The Latest Finish time of the activity is day 9.

The activity is not on the critical path.

14. Which of the following is INCORRECT regarding the process capability index Cpk?

Process capability index is used to measure the long-term performance of a process when it is under statistical control.

For the value of Cpk , it is always the higher the better.

A process with a Cpk value of 1 has higher performance level than a process with a Cpk value of 2.

The Cpk index can be used when the process mean is not equal to the mean of the specification range.

A

No, there is a distinguishable pattern in the sample means.

B

No, at least one sample mean is outside the control range.

C

Cannot be determined

D

Yes, all sample means fall within the control range.

Explanation / Answer

The upper and lower control limits for diving ring diameters made by John's Swimming are 40 cm and 39 cm, respectively. John took 11 samples from the real production. The samples had the following average diameters: 39, 39.1, 39.2, 39, 39.3, 39.5, 39.2, 39.1, 38.6, 39.2, 39.5 cm. Is the process under statistical control?

(A) No, there is a distinguishable pattern in the sample means.

Suppose the Earliest Start time of an activity is day 5 and the Earliest Finish time of the activity is day 8 in a CPM network. The Latest Start time of the activity is day 6. Which of the following statements is INCORRECT?

The Latest Finish time of the activity is day 9.

14. Which of the following is INCORRECT regarding the process capability index Cpk?

Process capability index is used to measure the long-term performance of a process when it is under statistical control.