Engineering Board Exam Reviewer · Engineering Management · hard
For an x chart with subgroups of 5, the grand mean is 50.0 and the average range is 4.0. What are the control limits? (A2 = 0.577)
- UCL = 62.00, LCL = 38.00
- UCL = 52.31, LCL = 47.69
- UCL = 54.00, LCL = 46.00
- UCL = 54.62, LCL = 45.38
Answer
B. UCL = 52.31, LCL = 47.69
Solution
UCL = x + A2 R = 50 + 0.577(4) = 52.31; LCL = 50 - 2.308 = 47.69.
More Engineering Management questions
- A process with specification limits of 9.4 and 10.6 mm has a mean of 10.2 mm and a standard deviation of 0.15 mm. What is its Cpk?
- A process has specification limits of 9.4 mm and 10.6 mm and a standard deviation of 0.15 mm. What is its process capability index Cp?
- A machine breaks down 3 times a month, each time stopping a 50-worker line for 8 hours. How many labor-hours are lost per month?
- An equipment investment of ₱500,000 yields net annual savings of ₱180,000. What is its simple payback period?
- Project A yields ₱500,000 profit with 60% probability or a ₱200,000 loss with 40% probability. Project B yields ₱300,000 (60%) or ₱50,000…
- Maximize Z = 2x + 5y subject to x + y ≤ 4, x + 3y ≤ 6, x ≥ 0, y ≥ 0. What is the maximum value of Z?
- Maximize Z = 3x + 2y subject to x + y ≤ 4, x + 3y ≤ 6, x ≥ 0, y ≥ 0. What is the maximum value of Z?
- According to Little's law, if 20 customers per hour arrive and each spends an average of 0.25 hour in the system, the average number in…
- In an M/M/1 queue with arrival rate 8/hr and service rate 10/hr, what is the average number of customers waiting in line?
- In a single-server queue (M/M/1) with arrival rate 8/hr and service rate 10/hr, what is the average time a customer spends in the system?