CSSBB Exam Dumps - Certified Six Sigma Black Belt

The correct answer is B. 0.061 . In the CSSBB probability material, the Poisson distribution is used for the number of occurrences per unit interval, and its probability mass function is given as P(X = x) = λˣe^-λ / x! , where λ is the average number of occurrences in the interval. In this question, the average number of failures is 1 batch per day , so λ = 1 , and the probability of exactly 3 failures in one day is:

P(X = 3) = (1³ × e^-1) / 3! = e^-1 / 6 ≈ 0.3679 / 6 ≈ 0.0613

Rounded to three decimal places, this is 0.061 . This is directly consistent with the CSSBB treatment of Poisson distributions for events such as failures, defects, or breakdowns occurring over time.

The other options are not correct because they either substantially understate or overstate the exact probability. Since Poisson models count data over a fixed interval and the average rate is known, this is the appropriate Six Sigma method for solving the problem. Therefore, the verified answer is B .

The correct answer is B. contributes a form or a feature to a product or service . In Lean Six Sigma, value-added work is defined by whether it transforms the product or service in a way the customer recognizes as valuable and would be willing to pay for. The CSSBB supplemental material explains that value-added activities are the portion of the cycle time that actually adds something of value to the output, while non-value-added time is waste. It further notes that a value-added task is one that contributes a form, feature, or function to a product or service.

This definition is customer-centered, not management-centered. A task does not become value-added merely because it supports compliance or because a skilled employee performs it. Those activities may be necessary, but they do not necessarily add value in the Lean sense. The key question is whether the task changes the product or service in a way that matters to the customer. Therefore, the verified CSSBB answer is B .

The correct answer is B. critical-to-quality factors . In the CSSBB materials, the voice of the customer (VOC) may come from both internal and external customers , and this input is used to identify what is critical to the process, product, or service. The CTQ process specifically says to capture the VOC, then translate VOC to CTQs , prioritize them, and set requirements. The stakeholder and VOC material also states that customer input is used to “translate the needs into product, service, and process characteristics and metrics.”

That makes critical-to-quality (CTQ) the correct term for the characteristics derived from customer input and used to shape design and improvement efforts. SIPOC elements are suppliers, inputs, process, outputs, and customers; they are process-map categories, not customer-derived design characteristics. Key performance indicators are measures used to track performance, and initial-design concepts are not the standard CSSBB term here. Therefore, the verified answer is B. critical-to-quality factors .

The correct answer is B. In a chi-square test of independence, the null hypothesis states that the variables are independent, while the alternative states that they are dependent or associated. The decision is made by comparing the calculated chi-square statistic to the critical value for the appropriate degrees of freedom and significance level. If the test statistic exceeds the critical value, the null hypothesis is rejected, indicating evidence of dependence between the variables. In this problem, the critical value shown is 11.07, and the correct conclusion is to reject the null hypothesis and conclude that the variables are dependent. This type of analysis is important in the Six Sigma Analyze Phase when Black Belts are examining whether categorical variables are related, such as defect category by machine, shift by outcome, or supplier by conformance result. A correct interpretation helps the team identify meaningful associations that may guide root-cause investigation. Therefore, the correct answer is B, because the test results support rejecting independence and concluding that the variables are dependent.

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The correct answer is D. kanban . The CSSBB source defines kanban as a method of material control intended to provide product with short lead times while reducing inventory and controlling replenishment through pull signals. It describes the system as one in which parts are supplied to the next operation based on a kanban instruction , rather than being sent whenever upstream operations happen to finish.

That fits this question exactly. The problem is that subassemblies are being pushed into final assembly as they are completed, creating confusion and disorder. A kanban system would convert that push behavior into a pull system , so final assembly receives material when it is actually needed and in the right quantity. Standard work helps define the best method, 5S improves workplace organization, and poka-yoke helps prevent errors, but none of those is primarily a material-replenishment control method. Since the root issue is uncontrolled flow of containers into final assembly, the Lean tool designed to address it is kanban . Therefore, the verified answer is D .

Customer referrals are the strongest loyalty metric among the listed choices because they indicate that customers are willing not only to continue doing business with the organization, but also to recommend it to others. That behavior reflects trust, satisfaction, and confidence, all of which are strong indicators of loyalty. Order size and order frequency may be influenced by purchasing cycles, budget limits, or operational need, so they do not always reflect true loyalty by themselves. Customer call time length is even less reliable, since longer calls may indicate confusion, complaints, or service inefficiency rather than attachment to the company. In CSSBB customer-focused measurement, loyalty metrics should capture enduring customer commitment and the likelihood of repeat advocacy. Referrals provide a meaningful signal because they involve reputational risk on the part of the customer; people generally recommend organizations only when they believe the value delivered is consistently strong. This makes referrals a high-value indicator in organizational process management and customer-measurement systems. Therefore, the correct answer is Customer referrals, because it best represents genuine customer loyalty rather than simple transaction behavior.

In line balancing, takt time represents the pace required to meet customer demand. To find the work content of a station as a percentage of takt time, divide the station’s cycle time by the takt time and multiply by 100. From the chart, takt time is 30 units and Station 3 has a cycle time of 20 units. Therefore, the percentage is 20 ÷ 30 × 100 = 66.67%, which rounds to 67%.

This is an Improve Phase concept because line balancing is used to redesign work allocation so that stations are better aligned with demand and flow. A station operating at 67% of takt time has unused capacity relative to customer demand, meaning it is not a bottleneck. In contrast, stations above takt time would constrain throughput and require balancing action. Black Belts use this kind of analysis to identify imbalance, redistribute work, reduce waiting, and improve flow efficiency. The chart shows that Station 3 is below takt and therefore has capacity available. Therefore, the correct answer is C, 67%, because Station 3’s work content is two-thirds of the takt requirement.

A process must be stable before its capability and performance can be meaningfully assessed. Stability means the process is operating under statistical control, with only common-cause variation present and no unresolved special causes distorting the output. This is essential in the Measure Phase because capability indices and performance measures assume that the underlying process behavior is reasonably predictable. If a process is unstable, the calculated capability may be misleading because the variation and centering observed today may not represent what the process will do tomorrow. A process does not need to be perfectly centered or exactly on target before capability is calculated, although those factors affect the resulting indices. It also does not have to be measured only with variables data, since capability concepts can be addressed in broader ways depending on the context. The first requirement, however, is process stability. In Six Sigma, this is why control-chart evaluation and understanding of variation come before formal capability interpretation. Therefore, the correct answer is D, stable, because predictability is the foundation for valid capability and performance assessment.