Quality Control and Statistical Process Control

Chapter 11
Quality Economics and Managerial Decision-Making

Post Graduate Program in Total Quality Management
Quality Control and Statistical Process Control   •   Post Graduate

11. Quality Economics and Managerial Decision-Making

Introduction: From Statistical Evidence to Economic Choice

Quality control is often presented as a technical discipline concerned with variation, control charts, inspection, sampling, and process capability. Yet the ultimate purpose of quality information is managerial: it supports decisions about where to invest, what to improve, which risks to accept, and how to allocate scarce resources. A process may be statistically stable but economically unattractive; another may be statistically imperfect but commercially acceptable when the cost of improvement exceeds the expected benefit. Quality management therefore requires both statistical reasoning and economic judgment.

Quality economics examines the financial consequences of preventing defects, appraising conformance, allowing failures, and accepting process risk. It also considers the broader effects of quality decisions on productivity, capacity, delivery reliability, customer loyalty, regulatory compliance, and organizational reputation. Managerial decision-making translates this evidence into action. Statistical process control (SPC) identifies signals; economics helps determine their significance; management decides how and when to respond.

This chapter develops an integrated approach to the cost of quality, Taguchi loss functions, inspection economics, process-risk analysis, capacity and productivity trade-offs, quality dashboards, and business cases for improvement. The emphasis is strategic: quality is treated not as a narrow operational expense but as a determinant of long-term organizational performance.

Learning Objectives

After studying this chapter, the learner should be able to:

1. Explain the economic meaning of quality and distinguish prevention, appraisal, internal failure, and external failure costs.

2. Construct and interpret a cost-of-quality model and recognize its limitations.

3. Apply the Taguchi loss concept to decisions involving variation and target performance.

4. Evaluate inspection alternatives using expected-cost and risk-based reasoning.

5. Relate SPC signals, process capability, and process risk to managerial action.

6. Analyse trade-offs among quality, capacity, productivity, delivery, and cost.

7. Design a quality dashboard that supports operational and strategic decisions.

8. Develop a defensible business case for quality improvement.

9. Recognize ethical, governance, technological, and implementation issues in quality economics.

Quality as an Economic Variable

In operational terms, quality is the degree to which a product, service, or process satisfies specified and implied requirements. Economically, quality affects the resources consumed and the value delivered throughout the life cycle. Poor quality may create scrap, rework, warranty claims, customer complaints, returns, lost production time, expedited transportation, legal exposure, and damaged reputation. Good quality may reduce these losses, but achieving it also requires investment in training, process design, equipment, measurement, maintenance, supplier development, and improvement activity.

The relevant question is not simply, “What does quality cost?” Every level of quality involves cost. The more useful question is, “What combination of quality-related expenditure and residual loss produces the best organizational outcome?” This framing avoids two common errors. The first is treating all quality expenditure as waste. The second is assuming that the lowest visible quality cost represents the best decision.

A manager must distinguish between accounting cost and economic cost. Accounting systems may record inspection labour or scrap, but they may not fully capture lost customer trust, management time, delayed innovation, or the opportunity cost of using capacity for rework. Consequently, quality economics requires a combination of financial data, operational measures, customer evidence, and risk analysis.

The Cost of Quality Architecture

The traditional cost-of-quality (COQ) framework classifies quality-related costs into prevention, appraisal, internal failure, and external failure. Prevention and appraisal are often called the cost of conformance; internal and external failure are the cost of non-conformance.

Prevention Costs

Prevention costs are incurred to avoid defects before they occur. Examples include quality planning, process capability studies, design reviews, supplier qualification, preventive maintenance, mistake-proofing, training, standardization, and improvement projects. Prevention expenditure is proactive. Its benefit is usually expressed as a reduction in future failure probability rather than as an immediate revenue increase.

Prevention decisions should be evaluated by asking whether the activity changes the process itself. Training that merely communicates rules may have limited value, whereas training combined with redesigned work instructions, feedback, and verification may reduce variation more reliably. Similarly, preventive maintenance is economically meaningful when it reduces process interruptions and defect generation, not merely because maintenance activity has increased.

Appraisal Costs

Appraisal costs arise from measuring, inspecting, testing, auditing, and verifying conformance. Examples include incoming inspection, in-process inspection, final testing, calibration, laboratory analysis, and quality audits. Appraisal can detect defects before they reach the customer, but it does not necessarily remove the causes of variation.

An organization can therefore become inspection-dependent: resources are spent finding defects that the process continues to create. Appraisal is valuable when detection prevents a substantial downstream loss, when process prevention is not yet feasible, or when regulatory and safety requirements demand independent verification. Its economic value depends on the timing, accuracy, and consequences of detection.

Internal Failure Costs

Internal failure costs are incurred when nonconformance is discovered before delivery. Scrap, rework, retesting, sorting, downtime, yield loss, deviation review, and material disposal are common examples. Internal failure is generally less costly than external failure because correction occurs within organizational control, but it can consume substantial capacity.

The visible cost of rework is often understated. A reworked unit may require labour, materials, machine time, inspection, scheduling changes, and administrative processing. It may also displace conforming production. If a bottleneck resource performs the rework, the opportunity cost can exceed the direct rework cost.

External Failure Costs

External failure costs occur after the product or service reaches the customer. They include warranty repair, returns, complaint handling, field service, recalls, compensation, contractual penalties, regulatory action, and loss of future sales. External failure can also damage a brand and weaken relationships with distributors or strategic customers.

These costs are difficult to estimate because some consequences are uncertain or delayed. A low complaint rate does not prove that external failure cost is low; customers may silently switch suppliers, lack convenient reporting channels, or use defective products without making claims. For this reason, customer retention, repeat business, service data, and market feedback should complement accounting records.

Interpreting the COQ Model

A useful COQ report may show the following relationship:

Total quality-related cost = Prevention cost + Appraisal cost + Internal failure cost + External failure cost.

The model is a classification framework, not a universal law. In mature quality systems, prevention investment may rise while failure costs fall. Total cost may initially decline, reach an economic minimum, and then increase if additional controls produce benefits smaller than their cost. However, the apparent optimum depends on the organization’s risk tolerance. In safety-critical or regulated contexts, a decision that is economically attractive in a narrow financial sense may be unacceptable.

Managers should also examine the ratio of failure costs to total quality cost, trends over time, cost per unit, cost as a percentage of sales, and the distribution of losses by product, process, supplier, and customer. A static percentage can conceal improvement or deterioration if product mix and production volume change.

Beyond Conformance: The Taguchi Loss Perspective

The traditional defect model often treats quality as binary: a unit either conforms to specification or it does not. Genichi Taguchi’s quality loss concept offers a broader view. Loss is assumed to increase as performance departs from the target, even when the result remains within specification.

For a nominal-the-best characteristic, the quadratic loss function is commonly expressed as:

L(y) = k(y − T)²

where y is the observed performance, T is the target, and k converts deviation into monetary loss. The equation captures an important managerial insight: two products may both meet specification limits, yet the one farther from target creates greater expected loss through reduced performance, shorter life, increased adjustment, or greater customer dissatisfaction.

For smaller-the-better or larger-the-better characteristics, alternative loss formulations are used. The practical principle remains the same: variation has economic consequences, and specification limits are not the only meaningful reference points.

The Taguchi perspective supports investment in centering and variation reduction. It is especially relevant for dimensions, energy consumption, response time, strength, dosage, and service performance. Its limitation is that the loss coefficient must be estimated credibly. If the relationship between deviation and customer or operational loss is unknown, the formula can create false precision. It should therefore be combined with reliability data, customer research, engineering knowledge, and process evidence.

Inspection Economics and the Timing of Detection

Inspection is not automatically economical. The decision should compare the cost of inspection with the expected loss avoided. Suppose a batch contains a probability p of a defect, the cost of an undetected defect is C, and an inspection plan detects the defect with probability d. The expected avoided loss is approximately p × C × d, subject to assumptions about sampling and independence. Inspection is attractive when its cost is lower than the expected avoided loss and when no better preventive alternative is available.

A more complete comparison considers several alternatives:

  • no inspection;
  • inspection at the supplier;
  • incoming inspection;
  • in-process inspection;
  • final inspection;
  • automated detection or 100 percent screening;
  • process redesign or mistake-proofing.

Detection earlier in the process is usually less expensive because fewer resources have been added and fewer downstream operations are affected. Nevertheless, inspection at an earlier stage may miss defects introduced later. Inspection also has measurement error, including false acceptance and false rejection. A false acceptance allows a defect to proceed, while a false rejection creates unnecessary sorting, delay, and cost.

The strongest economic solution is often prevention at the point where the cause is created. For example, an interlock that prevents assembly without a required component may be more economical and reliable than a final inspection that attempts to identify missing components. Inspection remains important, but its role should be defined within a layered control strategy rather than used as a substitute for process capability.

Process Risk, Capability, and Decision Rules

SPC provides evidence about process stability. A control chart signal suggests that a special cause may be present; absence of a signal suggests only that the process has been stable over the period observed. Stability does not guarantee conformance. A stable process may consistently produce output outside customer requirements if it is poorly centred or excessively variable.

Process capability compares the natural variation of a stable process with specification requirements. Capability indices such as Cp and Cpk are useful summaries, but they should not be treated as automatic permission to relax attention. A high capability estimate based on insufficient data, changing conditions, or non-normal behaviour may be misleading. Capability analysis must therefore be preceded by an assessment of measurement adequacy and statistical stability.

Managerial action should follow evidence-based rules. A special-cause signal normally calls for investigation rather than adjustment of the process mean. Tampering—making frequent adjustments in response to random common-cause variation—can increase instability. Conversely, a stable but incapable process requires a systemic response, such as redesign, centering, reduction of common-cause variation, or specification review.

Risk prioritization combines probability, consequence, and detectability. Failure Mode and Effects Analysis (FMEA) is one approach. It examines potential failure modes, their effects, causes, existing controls, and recommended actions. Traditional risk priority numbers can support discussion, but they should not be interpreted as precise measures of risk. A low-probability event with catastrophic consequences may deserve priority over a frequent but minor defect. Risk matrices should therefore be supplemented by scenario analysis, legal requirements, safety principles, and expert judgment.

Capacity, Productivity, and Quality Trade-offs

Quality decisions often compete for the same resources as volume, speed, and flexibility. Increasing inspection may reduce available production capacity. A preventive maintenance shutdown may temporarily lower output but prevent extended failure. Slowing a process may improve first-pass yield and reduce rework, resulting in greater effective capacity.

Productivity should therefore be distinguished from gross output. A useful measure is effective output, which accounts for quality and availability. For example, if a line produces 1,000 units, operates at 90 percent availability, and achieves a first-pass yield of 95 percent, the number of conforming units available without rework is materially lower than the gross count. Overall Equipment Effectiveness (OEE) combines availability, performance, and quality, although it should be used as a diagnostic measure rather than an isolated target.

Local optimization can produce system-wide loss. A production department may maximize hourly output by releasing batches with marginal quality, while the service department absorbs complaints and returns. Similarly, purchasing may select a low-price supplier whose variability increases inspection, production disruption, and warranty cost. Total-cost thinking requires decisions to be evaluated across the value stream.

Managers should explicitly assess the opportunity cost of quality failure. If rework occupies a constrained machine, its cost includes the contribution margin of orders displaced. If inspection delays shipment, the cost may include expediting and customer dissatisfaction. If a preventive project consumes engineering resources, its benefit should be compared with alternative uses of those resources.

Building a Quality Dashboard for Decisions

A quality dashboard should be designed around decisions, not data availability. It should show whether the process is performing as intended, whether risk is increasing, and whether corrective action is producing economic benefit. A balanced dashboard may include:

  • first-pass yield and rolled throughput yield;
  • defect rate by process, product, supplier, and customer;
  • scrap and rework cost;
  • cost of external failure and warranty claims;
  • process capability and control-chart status;
  • customer complaints, returns, and response time;
  • audit findings and corrective-action ageing;
  • safety, regulatory, and critical-characteristic indicators;
  • prevention expenditure and improvement-project benefits;
  • delivery reliability and capacity lost to quality problems.

Each measure requires a defined formula, owner, data source, frequency, target, and escalation rule. Financial and operational measures should be linked. For example, a reduction in defect rate should be connected to avoided scrap, recovered capacity, or reduced warranty exposure. Dashboard design should avoid excessive aggregation. A favourable overall defect rate may conceal serious performance in a critical product family.

Trend, variation, and threshold information are more useful than isolated colour codes. A dashboard should distinguish common-cause fluctuation from a meaningful shift and should display confidence or uncertainty when estimates are based on small samples. Governance is essential: definitions must remain stable, data must be traceable, and incentives must not encourage under-reporting.

Constructing a Business Case for Quality Improvement

A quality business case translates a problem into an economically and strategically credible proposal. It normally contains five elements.

First, define the problem using evidence. This may include control-chart signals, capability results, defect Pareto analysis, customer complaints, financial losses, or safety exposure. Second, identify the causal mechanism rather than merely describing the symptom. Third, estimate the baseline cost and risk, including direct cost, opportunity cost, and plausible external consequences. Fourth, compare solution alternatives, including prevention, detection, process redesign, supplier action, and acceptance of residual risk. Fifth, specify implementation cost, expected benefits, timing, assumptions, sensitivity, and measures of success.

Benefits should be separated into hard savings, cost avoidance, capacity release, revenue protection, and intangible or strategic effects. A project that reduces rework may not reduce headcount, but it can release bottleneck capacity and improve delivery. Financial evaluation may use payback period, net present value, internal rate of return, or benefit–cost ratio. These methods should not replace risk judgment, particularly where safety, compliance, or reputation is involved.

A credible business case includes sensitivity analysis. What if the defect rate falls by only half the expected amount? What if demand is lower and released capacity has no immediate value? What if implementation takes twice as long? Such questions prevent overly optimistic projections and strengthen managerial confidence.

Illustrative Case: Reducing Defects in a Medical-Device Assembly Line

Background

The following is an illustrative case. A medical-device manufacturer assembles disposable infusion components. The line is stable according to its control charts for a critical leak-test result, but its first-pass yield has declined from 96 percent to 91 percent over six months. The organization performs final testing on every unit. Failed units are reworked where possible; others are scrapped.

Situation and Problem

Annual production is 240,000 units. Each unit has a selling price of $18. Direct manufacturing cost is $9. The average internal failure cost, including labour, material, retesting, and disposal, is estimated at $4.20 per failed unit. External failure is rare but consequential because field complaints can trigger investigation, replacement, and regulatory reporting. Management is considering either increasing final inspection staff or investing in an automated fixture that controls component alignment during assembly.

At a 91 percent first-pass yield, approximately 21,600 units require rework or are rejected at the first test. If the average internal cost is $4.20, the directly measured annual failure cost is about $90,720, excluding lost capacity and external risk. The proposed automated fixture costs $52,000 for installation and validation, with annual maintenance of $6,000. Engineering estimates that it could raise first-pass yield to 97 percent, reducing affected units to approximately 7,200.

Analysis

The fixture would avoid approximately 14,400 first-pass failures. At $4.20 per failure, the direct annual saving is estimated at $60,480. After annual maintenance, the recurring net direct benefit is approximately $54,480. The first-year net benefit, before considering training and validation effort, is approximately $2,480 after the initial investment and maintenance. This narrow calculation understates the case because it excludes released test capacity, reduced scheduling disruption, lower fatigue, and reduced probability of an escaped defect.

However, the expected benefit is uncertain. If the yield improvement is only to 94 percent, the avoided failures would be 7,200 rather than 14,400, producing direct savings of $30,240. In that scenario, the investment would not be justified solely by internal failure savings in the first year. The team therefore conducts a pilot, verifies the measurement system, and examines whether the fixture affects cycle time and other defect modes.

The SPC evidence is interpreted carefully. Because the process is stable but performance is drifting toward a higher failure level, the team does not simply adjust the process in response to random readings. It investigates the assembly mechanism and discovers that operator-dependent alignment and fixture wear are important causes. The automated fixture addresses the cause, while a maintenance standard and alignment verification provide supporting controls.

Approach and Outcome

The organization conducts a controlled pilot on one shift. It establishes baseline first-pass yield, validates the leak-test measurement system, monitors cycle time, and uses a control chart for the critical assembly characteristic. The pilot produces a sustained yield of 96.8 percent without a material increase in cycle time. The organization approves implementation, adds preventive maintenance to the fixture, and changes the dashboard to show first-pass yield, rework cost, fixture condition, and capability of the alignment characteristic.

The improvement produces direct savings close to the estimated level and releases test capacity. More importantly, the process becomes less dependent on operator adjustment and final detection. The business case is approved not because inspection is unimportant, but because prevention provides a more reliable economic and risk-control mechanism.

Learning Points

The case illustrates that: stable does not mean capable; direct failure cost may understate the value of improvement; prevention should be compared with additional inspection; a pilot can reduce uncertainty; and SPC evidence must be interpreted with process knowledge and economic analysis. It also shows why a dashboard should connect technical indicators to financial and risk outcomes.

Challenges, Risks, and Common Managerial Errors

Quality economics is vulnerable to measurement and behavioural problems. Costs may be hidden in other departments, allocated inconsistently, or omitted because they are difficult to quantify. Benefits may be claimed by several projects simultaneously, creating double counting. Short-term accounting pressure may favour inspection cuts even when failure risk is increasing.

Common errors include treating all defects as equally important, using a single quality index for unlike products, reacting to every control-chart fluctuation, confusing correlation with causation, and selecting projects solely by payback period. Another error is rewarding departments for local metrics that encourage the transfer of work or risk to customers and suppliers.

Data quality is also a major concern. A dashboard based on unstable definitions or poor measurement systems can create false confidence. Before using a defect or capability measure for major decisions, managers should verify operational definitions, sampling methods, measurement-system adequacy, data completeness, and the possibility of reporting bias.

Ethical, Governance, and Regulatory Considerations

Quality decisions have ethical consequences when defects can affect health, safety, privacy, or essential services. Managers must not suppress adverse data, redefine defects to meet targets, delay escalation, or accept known risk without appropriate authority. Regulatory requirements may prescribe validation, traceability, reporting, or independent review; these are not optional costs to be removed merely because they reduce short-term productivity.

Governance requires clear ownership of risk acceptance, documented decision criteria, auditability of data, and separation between production pressure and safety-critical release decisions. Supplier contracts should define quality responsibilities without encouraging concealment or unrealistic targets. Where AI or automated analytics is used, organizations should retain human accountability, examine model bias and false alarms, protect sensitive data, and validate recommendations before operational use.

Digital Quality Economics and Emerging Practice

Digital manufacturing systems increasingly connect shop-floor data, laboratory results, maintenance records, customer complaints, and financial information. Process mining can reveal rework loops and approval delays. Predictive analytics can identify conditions associated with defects, while machine vision and sensor systems can support real-time detection. Digital twins may be used to evaluate process changes before physical implementation.

These technologies create opportunities but do not eliminate the need for statistical and managerial judgment. Predictive models can confuse association with causation, drift when process conditions change, and generate costly false alarms. Automated inspection may increase detection without addressing the underlying cause. The economic value of digital quality systems therefore depends on data governance, measurement validity, integration with corrective action, cybersecurity, and the organization’s ability to act on information.

Emerging quality practice is moving toward prevention by design, closed-loop quality management, real-time risk monitoring, and integration of quality with sustainability. Resource waste, energy consumption, material loss, and product life-cycle performance are increasingly considered alongside conventional defect costs. The strategic direction is clear: quality decisions are becoming more connected to resilience, responsible operations, and long-term value creation.

Best-Practice Principles for Managerial Use

Effective quality-economic decision-making generally follows these principles:

1. Stabilize the process before estimating capability or comparing improvement results.

2. Use total cost and life-cycle consequences rather than departmental cost alone.

3. Prefer prevention and robust process design over repeated dependence on final inspection.

4. Link SPC signals to documented investigation and escalation rules.

5. Combine probability, consequence, detectability, and regulatory context in risk decisions.

6. Treat capacity released by quality improvement as an economic benefit when it can be used productively.

7. Build dashboards around decisions, ownership, trends, and action thresholds.

8. Test business-case assumptions through pilots and sensitivity analysis.

9. Protect the integrity of quality data and avoid incentives that encourage under-reporting.

10. Maintain human accountability for safety, compliance, and high-consequence decisions.

Chapter Summary

Quality economics connects quality activity with organizational value. The cost-of-quality framework classifies prevention, appraisal, internal failure, and external failure costs, but managers must recognize that accounting measures may omit opportunity, reputation, and risk effects. The Taguchi loss perspective extends the analysis by showing that deviation from target can create loss even within specification limits.

Inspection decisions should be based on expected avoided loss, detection effectiveness, measurement error, and the availability of preventive alternatives. SPC identifies process behaviour, while capability and risk analysis help determine whether action should address special causes, common causes, centering, variation, or system design. Quality decisions must also consider capacity, productivity, delivery, and value-stream consequences.

A useful quality dashboard integrates operational, financial, customer, risk, and improvement measures. A strong business case defines the problem, estimates total impact, compares alternatives, tests assumptions, and evaluates both financial and strategic consequences. Ethical governance, reliable data, and responsible use of digital technologies are essential. Ultimately, quality is economically meaningful when statistical evidence is translated into decisions that reduce loss, protect stakeholders, and strengthen long-term performance.

Key Terms

Cost of Quality: The total of prevention, appraisal, internal failure, and external failure costs associated with quality.

Prevention Cost: Expenditure intended to prevent defects and nonconformance.

Appraisal Cost: Cost of measuring, inspecting, testing, or auditing conformance.

Internal Failure Cost: Cost arising from defects discovered before delivery to the customer.

External Failure Cost: Cost arising from defects discovered after delivery or use by the customer.

Cost of Conformance: The combined cost of prevention and appraisal activities.

Cost of Nonconformance: The combined cost of internal and external failures.

Quality Loss Function: A model that relates deviation from target performance to economic loss.

Target Value: The desired nominal level of a measurable quality characteristic.

Inspection Economics: The evaluation of inspection cost against expected loss avoided by detection.

False Acceptance: The incorrect classification of a nonconforming item as conforming.

False Rejection: The incorrect classification of a conforming item as nonconforming.

Process Stability: A condition in which variation is governed primarily by common causes over the period observed.

Process Capability: The ability of a stable process to meet specified performance requirements.

Opportunity Cost: The value of the best alternative use of resources committed to a quality activity.

First-Pass Yield: The percentage of units that meet requirements without rework or repair.

Overall Equipment Effectiveness: A composite measure involving availability, performance, and quality.

Quality Dashboard: A structured visual system for monitoring quality performance and supporting decisions.

Business Case: A reasoned proposal showing the costs, benefits, risks, assumptions, and justification for action.

Risk Acceptance: A formally authorized decision to retain a specified level of residual risk.

Review Questions

Short Answer Questions

1. Distinguish prevention costs from appraisal costs and provide two examples of each.

2. Why can a stable process still be incapable of meeting specifications?

3. What managerial insight is provided by the Taguchi loss function?

4. Identify two limitations of relying solely on final inspection.

5. Why should a quality dashboard include both operational and financial indicators?

Long Answer Questions

1. Explain the cost-of-quality framework and discuss how a manager should interpret changes in prevention, appraisal, and failure costs over time.

2. Compare inspection, process redesign, and mistake-proofing as alternatives for controlling nonconformance.

3. Discuss how quality improvement can affect capacity, productivity, delivery reliability, and total cost.

4. Explain how SPC, process capability, and FMEA can be integrated into a managerial quality decision.

5. Describe the essential elements of a business case for a quality improvement project, including sensitivity analysis.

Analytical / Application Questions

1. A process produces 50,000 units annually and has an internal failure rate of 6 percent. Each failure costs $8. A preventive device costing $14,000 annually is expected to reduce the failure rate to 2 percent. Analyse the direct economic case and identify additional information required before approval.

2. A control chart shows a stable process, but Cpk is below the customer requirement. Recommend a sequence of managerial and technical actions, explaining why routine adjustment would be inappropriate.

3. Design a quality dashboard for a supplier-dependent assembly operation. Select at least six measures, define the decision each measure supports, and identify one risk associated with poor interpretation of each measure.

22. Multiple Choice Questions with Answers

Question 1

Which cost category includes supplier qualification, process design review, and mistake-proofing?

A. Prevention cost

B. Appraisal cost

C. Internal failure cost

D. External failure cost

Correct Answer: A. Prevention cost

Question 2

A process is statistically stable but consistently produces output near or beyond a specification limit. What is the most appropriate interpretation?

A. The process is stable and necessarily capable

B. The process may be stable but incapable

C. The control chart must be replaced immediately

D. All observed variation is due to special causes

Correct Answer: B. The process may be stable but incapable

Question 3

What is the central economic implication of the Taguchi loss perspective?

A. Only defects outside specification create loss

B. Inspection eliminates the cost of variation

C. Deviation from target can create loss even within specifications

D. Every process should be operated at the lowest possible value

Correct Answer: C. Deviation from target can create loss even within specifications

Question 4

A company is considering inspection costing $10,000. The expected loss avoided through effective detection is estimated at $7,000. With no regulatory requirement or strategic benefit, what is the narrow economic conclusion?

A. Inspection is justified because all inspection improves quality

B. Inspection is not justified on the stated direct expected-cost basis

C. Inspection must be expanded to 100 percent coverage

D. The expected loss avoided is irrelevant

Correct Answer: B. Inspection is not justified on the stated direct expected-cost basis

Question 5

Why can rework cost exceed the direct labour and material cost recorded for the reworked unit?

A. Rework always increases selling price

B. Rework may consume bottleneck capacity and displace conforming production

C. Rework automatically reduces inspection requirements

D. Rework eliminates opportunity cost

Correct Answer: B. Rework may consume bottleneck capacity and displace conforming production

Question 6

A manager changes a machine setting after every small random fluctuation on a control chart. What problem is most likely being created?

A. Stratification

B. Tampering with common-cause variation

C. Improved process centering

D. Supplier certification

Correct Answer: B. Tampering with common-cause variation

Question 7

Which dashboard design is most useful for managerial decision-making?

A. A single overall defect percentage with no definitions

B. Only financial measures reported annually

C. Measures linked to owners, trends, thresholds, and actions

D. A dashboard containing every available data field

Correct Answer: C. Measures linked to owners, trends, thresholds, and actions

Question 8

In the illustrative case, why was an automated assembly fixture preferred to simply adding final inspection?

A. It addressed a source of variation and reduced dependence on detection

B. It eliminated the need for process validation

C. It guaranteed zero defects without maintenance

D. It increased cycle time to maximize inspection

Correct Answer: A. It addressed a source of variation and reduced dependence on detection

Question 9

Which statement best describes a sound quality-improvement business case?

A. It relies only on projected savings and ignores uncertainty

B. It compares alternatives, states assumptions, and tests sensitivity

C. It uses payback period as the sole decision rule

D. It excludes capacity and risk effects because they are difficult to measure

Correct Answer: B. It compares alternatives, states assumptions, and tests sensitivity

Question 10

When an AI model predicts an increased defect risk, what governance principle remains essential?

A. Human accountability and validation of the recommendation

B. Automatic action without measurement review

C. Ignoring model drift because the model is digital

D. Replacing all SPC evidence with the prediction

Correct Answer: A. Human accountability and validation of the recommendation

Quality Control and Statistical Process Control
Chapter 11 of 14