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You manage the customer service operation for a maker of electronic equipment sold to business customers. Traditionally, the most common complaint is that equipment does not operate properly when installed, but attention to manufacturing and installation quality will reduce these complaints. You hire an outside firm to conduct a sample survey of your customers. Here are the percents of customers with each of several kinds of complaints: $$ \begin{array}{lc} \hline \text { Category } & \text { Percent } \\ \hline \text { Accuracy of invoices } & 27 \\ \hline \text { Clarity of operating manual } & 6 \\ \hline \text { Complete invoice } & 25 \\ \hline \text { Complete shipment } & 16 \\ \hline \text { Correct equipment shipped } & 15 \\ \hline \text { Ease of obtaining invoice adjustments/credits } & 34 \\ \hline \text { Equipment operates when installed } & 5 \\ \hline \text { Meeting promised delivery date } & 11 \\ \hline \text { Sales rep returns calls } & 3 \\ \hline \text { Technical competence of sales rep } & 12 \\ \hline \end{array} $$ (a) Why do the percents not add to \(100 \%\) ? (b) Make a Pareto chart. What area would you choose as a target for improvement?

Short Answer

Expert verified
(a) Percentages exceed 100% due to multiple complaints per customer. (b) Target 'Ease of obtaining invoice adjustments/credits' for improvement.

Step by step solution

01

Analyzing Complaint Data

First, examine the given data to ensure that each complaint's reported percentage is accurate. Check the total percentage to understand why it doesn't sum to 100%. Add the percentages: \(27 + 6 + 25 + 16 + 15 + 34 + 5 + 11 + 3 + 12 = 154\). This shows it is possible that customers can have multiple complaints, which is why the total is over 100%.
02

Understanding Multiple Complaints

Realize that the percentages do not sum to 100% because the survey allows respondents to list multiple complaints. This means the data is an incidence rate of each complaint type, not a distribution summing to 100%.
03

Constructing a Pareto Chart

A Pareto chart organizes data in descending order of frequency. Arrange the complaints in descending order of their percentages to determine their order: Ease of obtaining invoice adjustments/credits (34%), Accuracy of invoices (27%), Complete invoice (25%), and so on. Draw bars for each using these percentages, with labels.
04

Identifying the Improvement Target

The Pareto principle suggests focusing on the areas that account for the majority of your issues. Here, the top three complaint categories—Ease of obtaining invoice adjustments/credits, Accuracy of invoices, and Complete invoice—account for the largest shares. Focus on the 'Ease of obtaining invoice adjustments/credits' for the greatest impact.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Pareto Chart
A Pareto chart is a visual tool used in data analysis and quality control. It's particularly helpful in prioritizing problem-solving efforts. The chart is composed of bars and a line graph. The bars represent individual categories of problem, showing them independent of each other in terms of frequency or percentage. These are sorted in descending order, meaning the most significant categories appear first. The cumulative percentage is represented by the line graph.

A key principle behind the Pareto chart is the "80/20 rule" or Pareto Principle, which suggests that 80% of problems often stem from 20% of the potential causes. In our exercise, creating a Pareto chart involved arranging the complaint data in order of descending frequency, where 'Ease of obtaining invoice adjustments/credits' emerges as the leading complaint.

This chart allows businesses to focus on resolving the most pressing issues first, thereby improving overall satisfaction efficiently. Using it, you can make informed decisions about which problems to tackle to achieve the greatest benefit.
Percentages in Surveys
Survey percentages can often seem confusing at first glance, especially when they do not add up to 100%, as in our exercise. The reason is that each percentage signifies the incidence of a particular complaint among surveyed customers. Here, respondents were allowed to list more than one complaint, which naturally results in cumulative percentages exceeding 100%.

This doesn't mean there's an error in the data; it's a common scenario in surveys where multiple responses are possible. Instead of a total distribution, each percentage represents a standalone piece of information about how widespread each issue is among your customers.

Interpreting these figures correctly is essential for accurate data analysis. Recognizing that high percentages on multiple complaints may indicate serious underlying issues across different areas of business operations.
Complaint Data Interpretation
Effective interpretation of complaint data is crucial for businesses aiming to improve customer satisfaction and operational performance. The exercise presented us with a range of complaints from customers of electronic equipment.

The first step in interpreting such data is to understand how each complaint impacts your business. For instance, a high percentage of complaints about 'Ease of obtaining invoice adjustments/credits' suggests the process is cumbersome or unclear, requiring immediate attention.

Instead of merely acknowledging the existence of these complaints, it's beneficial to delve deeper into each category:
  • Are there repeat complaints indicating systemic issues?
  • Do particular complaints correlate, showing a pattern?
  • What changes can be implemented quickly for the biggest impact?
By strategically targeting areas with the highest frequency of complaints, businesses can prioritize actions that lead to a noticeable improvement in customer experience. This approach not only resolves existing issues but also preempts future problems, contributing to long-term business success.

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Most popular questions from this chapter

A manufacturer of consumer electronic equipment makes full use not only of statistical process control, but also of automated testing equipment that efficiently tests all completed products. Data from the testing equipment show that finished products have only \(3.0\) defects per million opportunities. (a) What is \(\mathrm{p}^{-\bar{p}}\) for the manufacturing process? If the process turns out 4000 pieces per day, how many defects do you expect to see per day? In a typical month of 24 working days, how many defects do you expect to see? (b) What are the center line and control limits for a \(p\) chart for plotting daily defect proportions? (c) Explain why a \(p\) chart is of no use at such high levels of quality.

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The hardness of a sample from each lot of tablets is measured to control the compression process. The process has been operating in control with mean at the target value \(\mu=12.3\) kilograms \((\mathrm{kg}\) ) and estimated standard deviation \(\sigma=0.2\) kg. Table \(31.2\) gives three sets of data, each representing \(\mathrm{x}^{-} \bar{x}\) for 20 successive samples of \(n=4\) tablets. One set remains in control at the target value. In a second set, the process mean \(\mu\) shifts suddenly to a new value. In a third, the process mean drifts gradually. (a) What are the center line and control limits for an \(\mathrm{x}^{-} \bar{x}\) chart for this process? (b) Draw a separate \(x^{-} \bar{x}\) chart for each of the three data sets. Mark any points that are beyond the control limits. (c) Based on your work in part (b) and the appearance of the control charts, which set of data comes from a process that is in control? In which case does the process mean shift suddenly, and at about which sample do you think that the mean changed? Finally, in which case does the mean drift gradually?

What type of control chart or charts would you use as part of efforts to improve each of the following performance measures in a college admissions office? Explain your choices. (a) Time to acknowledge receipt of an application (b) Percent of admission offers accepted (c) Student participation in a healthy meal plan

A manager who knows no statistics asks you, "What does it mean to say that a process is in control? Is being in control a guarantee that the quality of the product is good?" Answer these questions in plain language that the manager can understand.

Choose a process that you know well. If you lack experience with actual business or manufacturing processes, choose a personal process such as ordering something over the Internet, paying a bill online, or recording a TV show on a DVR. Make a flowchart of the process. Make a causeand-effect diagram that presents the factors that lead to successful completion of the process.

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