Problem 9: The Following Information Applies To The Question

Problem 9 1the Following Information Applies To The Questions Display

The following are the car repair shop data: Ticket No. Work Ticket No. Work Ticket No. Work 1 Brakes 11 Lube & oil 21 Transmission 2 Brakes 12 Battery 22 Lube & oil 3 Tires 13 Tires 23 Tires 4 Brakes 14 Lube & oil 24 Lube & oil 5 Lube & oil 15 Brakes 25 Brakes 6 Lube & oil 16 Tires 26 Brakes 7 Battery 17 Lube & oil 27 Brakes 8 Lube & oil 18 Lube & oil 28 Lube & oil 9 Brakes 19 Brakes 29 Tires 10 Lube & oil 20 Tires 30 Battery

Prepare a check sheet for the above car repair shop data, tabulating the frequency of each work type: Lube & oil, Brakes, Tires, Battery, Transmission. Then, select an appropriate Pareto diagram based on this data.

Paper For Above instruction

The provided data from the car repair shop details various work types performed across multiple tickets, offering an opportunity to analyze the frequency of each work type and visualize their relative importance through Pareto analysis. This analysis will assist in identifying the most common issues, thereby guiding process improvements and resource allocation.

Data Organization: Constructing the Check Sheet

The initial step involves compiling the data into a check sheet that categorizes each work ticket according to the work type. The work types identified include Brakes, Lube & oil, Tires, Battery, and Transmission. The purpose is to count the number of occurrences for each type across all 30 tickets.

After reviewing the data, the counts are as follows:

  • Brakes: Tickets 1, 2, 4, 9, 15, 16, 18, 19, 26, 27 — totaling 10 occurrences.
  • Lube & oil: Tickets 11, 14, 24, 5, 6, 8, 17, 18, 20 — totaling 9 occurrences.
  • Tires: Tickets 3, 13, 16, 20, 23, 29, 10, 22 — totaling 8 occurrences.
  • Battery: Tickets 12, 7, 30 — totaling 3 occurrences.
  • Transmission: Ticket 21 — totaling 1 occurrence.

This frequency distribution clearly highlights that Brakes are the most common work type, followed by Lube & oil and Tires, with Battery and Transmission being less frequent.

Creating the Pareto Chart

Using these frequencies, the Pareto diagram can be constructed by sorting the work types in descending order of their occurrence:

  1. Brakes (10)
  2. Lube & oil (9)
  3. Tires (8)
  4. Battery (3)
  5. Transmission (1)

The chart would plot these work types along the x-axis, with their corresponding frequencies on the y-axis, and a cumulative percentage line to illustrate the cumulative contribution of each work type.

The Pareto principle (80/20 rule) suggests that focusing on the top few causes — in this case, Brake, Lube & oil, and Tires — can significantly reduce the total number of repairs or improve efficiency.

Implications and Recommendations

The analysis indicates that operational improvements should prioritize the most frequent issues, especially Brakes, which account for one-third of the work orders. Implementing targeted training, inventory management for brake parts, and preventive maintenance protocols can lead to better workflow and customer satisfaction.

Further, continual data collection and regular Pareto analysis enable the shop to monitor trends, identify emerging issues, and adjust strategies accordingly.

References

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  • Pyzdek, T., & Keller, P. (2014). The Six Sigma Handbook. McGraw-Hill Education.
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