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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:

  1. 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?
  2. If the process is not in control, what might be the likely causes based on the available information.
  3. Establish a state of statistical control and evaluate the capability of the process to meet specifications.
  4. How might the company ensure that the problems that Walker Homes found be eliminated? What do you recommend?

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