Question
The Delaware Door Corporation (DDC) manufactures steel and aluminum exterior doors for commercial and residential applications. DDC landed a major contract as a supplier to
The Delaware Door Corporation (DDC) manufactures steel and aluminum exterior doors for commercial and residential applications. DDC landed a major contract as a supplier to Walker Homes, a builder of residential communities in several major cities throughout the upper Midwest. Because of the large volume of demand, DDC had to expand its manufacturing operations to three shifts and hire additional workers.
Not long after DDC began shipping doors to Walker Homes, it began receiving some complaints about excessive gaps between the door and frame. This problem was somewhat alarming to DDC, because its reputation as a high-quality manufacturer was the principal reason that it was selected as a supplier to Walker Homes. DDC placed a great deal of confidence in its manufacturing capability because of its well-trained and dedicated employees, and it never felt the need to consider formal process control approaches. In view of the recent complaints, Jim Dean, the company president, suspected that the expansion to a three-shift operation and the pressures to produce higher volumes and meet just-in-time delivery requests was causing a breakdown in their quality. On the recommendation of the plant manager, DDC hired a quality consultant to train the shift supervisors and selected line workers in statistical process control methods. As a trial project, the plant manager wants to evaluate the capability of a critical cutting operation that he suspects might be the source of the gap problem. The nominal specification for this cutting operation is 30 inches with a tolerance of 0.125 inch.
A.
The consultant suggested inspecting five consecutive door panels in the middle of each shift over a 10-day period and recording the length of each cut. The cutting is done on a highly specialized machine operated by a trained operator. Table 1 shows the data collected over 10 days for each shift.
Shift | Operator | Sample | 1 | 2 | 3 | 4 | 5 |
1 | Terry | 1 | 29.989 | 29.952 | 29.941 | 30.012 | 29.984 |
2 | Jordan | 2 | 29.972 | 29.966 | 29.964 | 29.942 | 30.025 |
3 | Dana | 3 | 30.046 | 30.004 | 30.028 | 29.986 | 30.027 |
1 | Terry | 4 | 29.997 | 29.997 | 29.98 | 30 | 30.034 |
2 | Jordan | 5 | 29.969 | 30 | 29.968 | 29.976 | 29.973 |
3 | Dana | 6 | 29.973 | 29.99 | 29.985 | 29.991 | 30.004 |
1 | Terry | 7 | 30.046 | 29.978 | 30.026 | 29.986 | 29.961 |
2 | Jordan | 8 | 30.018 | 29.922 | 29.992 | 30.008 | 30.053 |
3 | Cameron | 9 | 29.852 | 29.978 | 29.864 | 29.896 | 29.676 |
1 | Terry | 10 | 30.042 | 29.976 | 30.021 | 29.996 | 30.042 |
2 | Jordan | 11 | 30.028 | 29.999 | 30.022 | 29.942 | 29.998 |
3 | Dana | 12 | 29.955 | 29.984 | 29.977 | 30.008 | 30.033 |
1 | Terry | 13 | 30.04 | 29.994 | 30.001 | 29.975 | 29.97 |
2 | Jordan | 14 | 30.007 | 30.024 | 29.987 | 29.951 | 29.994 |
3 | Dana | 15 | 29.979 | 30.007 | 30 | 30.042 | 30 |
1 | Terry | 16 | 30.073 | 29.998 | 30.027 | 29.986 | 30.011 |
2 | Jordan | 17 | 29.995 | 29.966 | 29.996 | 30.039 | 29.976 |
3 | Dana | 18 | 29.994 | 29.982 | 29.998 | 30.04 | 30.017 |
1 | Terry | 19 | 29.977 | 30.013 | 30.042 | 30.001 | 29.962 |
2 | Jordan | 20 | 30.021 | 30.048 | 30.037 | 29.985 | 30.005 |
3 | Cameron | 21 | 29.879 | 29.682 | 29.79 | 29.971 | 29.953 |
1 | Terry | 22 | 30.043 | 30.021 | 29.963 | 29.993 | 30.006 |
2 | Jordan | 23 | 30.065 | 30.012 | 30.021 | 30.024 | 30.037 |
3 | Cameron | 24 | 29.899 | 29.875 | 29.98 | 29.878 | 29.777 |
1 | Terry | 25 | 30.029 | 30.011 | 30.017 | 30 | 30 |
2 | Jordan | 26 | 30.046 | 30.006 | 30.039 | 29.991 | 29.97 |
3 | Dana | 27 | 29.693 | 29.991 | 29.784 | 30.022 | 30.01 |
1 | Terry | 28 | 30.057 | 30.032 | 29.979 | 30.027 | 30.033 |
2 | Jordan | 29 | 30.004 | 30.049 | 29.98 | 30 | 29.986 |
3 | Dana | 30 | 29.995 | 30 | 29.922 | 29.984 | 29.968 |
QUESTION:
- Interpret the data in Table 1....... is the cutting process in control? Is the highly specialized cutting tool capable of meeting the strict product specifications?
- If the process is not in control, what might be the likely causes based on the available information.
- Establish a state of statistical control and evaluate the capability of the process to meet specifications.
- How might the company ensure that the problems that Walker Homes found be eliminated? What do you recommend?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started