For the process shown below, suppose the each of the inventory buffers (shown as a “V”) can hold an infinite number of items and that no blocking occurs. **Use this information to answer the following 2 questions.**Numbers in parentheses reflect throughput capacities.

Task 1 (12) ———–> V (Buffer) —————–> Task 2 (8) ————>

Suppose buffer 1 is empty to start. After 4 hours, how many units will be in Buffer 1?

0

4

8

12

16

What would the utilization for task 1 be? Pick the closest answer.

0%

20%

40%

60%

80%

100%

Inspections of finished products are typically categorized as which of the four costs of quality?

Internal failure

External failure

Prevention

Appraisal

Conformance

A woodcutting operation has a target value of 96 inches and consistently averages 95.8 inches with a standard deviation of .05 inches. The design engineers have established an upper specification limit of 96.25 and a lower specification limit of 95.75 inches. **Use this information to answer the next four questions.**

The process capability ratio, Cp, of the operation is? Pick the closest answer.

.33

.67

1

1.33

1.67

2

The process capability index, Cpk, of the operation is? Pick the closest answer.

.33

.67

1

1.33

1.67

2

Suppose the company wants to improve its capability to a 3-sigma level by reducing the variability of its process. Which of the following standard deviations would meet a 3-sigma capablity for Cpk? Check all that apply, and assume the process mean remains unchanged from the original problem.

.005

.010

.015

.020

.025

.030

Suppose a customer requires 3-sigma capability, and you found C_{p}= 1.33 and C_{pk}= 0.33. Which of the following can you conclude?

The process is not capable of meeting the customerâ€™s spec; Process centeredness needs to be addressed

The process is not capable of meeting the customerâ€™s spec; Process variability needs to be addressed

The process is capable of meeting the customerâ€™s spec; Neither centeredness nor variability need to be addressed

The process is capable of meeting the customerâ€™s spec, centeredness needs to be addressed

The process is not capable of meeting the customerâ€™s spec, but further investigation is needed to determine whether centeredness or variability need to be addressed

Suppose you are analyzing processing times for a machining operation. In your analysis, you found C_{p}= 2.1 and C_{pk} = 1.28. Given this information, which of the following sigma levels is the highest that you could claim your process is capable of meeting?

1 sigma

2 sigma

3 sigma

4 sigma

5 sigma

6 sigma