CSSBB Six Sigma Black Belt Practice Test Video
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Q1What is the benefit of pairing an X̅ chart with an R-chart?
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✓ Correct answer: It helps assess the stability of the process (X̅) and identify its variation (R)
In summary, an X̅ chart is utilized to monitor the average or mean of the process and track its changes over time. On the other hand, an R-chart is employed to illustrate process variation by using subgroup ranges. It is important to note that the R-chart does not keep the X̅ on track; its purpose is solely to display variation within the subgroups. To graph the standard deviation of the subgroups, an s-chart is utilized
Q2Sarah is collecting data on a new brand of snack chip. One issue with producing the snack chip is its delicate structure, which tends to cause it to break in half during transportation from the dryer to the consumer package. The factory has implemented an automated sorting machine to remove broken chips before packaging. Sarah has developed a program that converts this data into a control chart, which displays the percentage of defective chips in the entire snack chip population. What type of chart has Sarah developed?
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✓ Correct answer: p-chart
This particular chart represents attribute data in the form of a percentage of the total snack chip population. X̄ and R and XmR charts are used for continuous data analysis. A c-chart is employed to monitor expected occurrences based on a Poisson distribution, assuming a constant sample size
Q3Which of the following categories is not considered a standard Cost of Quality (CoQ) category?
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✓ Correct answer: Design costs
The Cost of Quality (CoQ) categories consist of appraisal, prevention, internal failure, and external failure costs. - Appraisal costs involve measurement and inspection activities conducted during operations to assess compliance with quality requirements. - Prevention costs are planned and designed activities implemented before operations to ensure high-quality outcomes and prevent the occurrence of subpar products or services. - Internal Failure costs are incurred to rectify defects identified prior to the delivery of a product or service. - External Failure costs are incurred to address defects discovered by customers after they have received the product or service. Design costs, although significant, do not fall under the category of prevention costs and are considered separate from the standard CoQ categories
Q4Henderson determines that a sample size of 138 is required to determine, with 95% confidence (α = 0.05), the maximum proportion of defective 50 mm copper piping in the population. What is the calculated proportion (p̂)?
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✓ Correct answer: 0.10
To calculate the proportion (p̂), we can use the equation n = (Zα/2/E)2 p̂(1 - p̂), where: α = 0.05 E = 0.05 p̂ = ? n = 138 Referring to a standard normal distribution table, we find that α/2 (0.025) corresponds to Z = 1.96. Plugging in the values, we can solve for p̂: 138 = ((1.96)/0.05))2 (p̂(1-p̂)). After solving the equation, we find that p̂ = 0.10
Q5What fundamental characteristic does a prediction interval possess?
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✓ Correct answer: It is determined by individual observations
The key feature of a prediction interval distinguishes it from a confidence interval, which relies on the average of a set of observations. A prediction interval is not dependent on chi-square or proportional predictions
Q6Tom, a production Vice President, notices a surge in warranty payouts. This is likely to be indicative of which type of waste?
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✓ Correct answer: Defects
Defects necessitate the need for reworking, reprocessing, or replacing originally-produced units, resulting in increased costs associated with warranty payouts. Overproduction refers to the act of producing more or earlier than what is required by demand. Overprocessing encompasses any production activity that does not add value to the customer. Motion refers to non-value added movements performed by people or equipment
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