CSSBB

Which of the following best describes the strategic role of Six Sigma in an organization?

• ASix Sigma focuses exclusively on manufacturing process improvements
• BSix Sigma aligns improvement projects with business goals and strategic objectives
• CSix Sigma is only applicable to quality control departments
• DSix Sigma eliminates the need for performance metrics

A Black Belt is evaluating whether to pursue a project that would save $500,000 annually but requires significant resources. Which project selection criterion should be prioritized?

• AProject complexity alone
• BAlignment with organizational strategic goals and expected ROI
• CThe project manager's personal preference
• DThe size of the project team

In the context of organizational metrics, which of the following represents a balanced scorecard perspective?

• AFinancial, Customer, Internal Processes, and Learning & Growth
• BSales, Marketing, Production, and Finance only
• CProfit, Revenue, Expenses, and Tax implications
• DEmployee satisfaction only

What is the primary purpose of a project charter in Six Sigma?

• ATo document the detailed statistical analysis plan
• BTo formally authorize the project, define scope, and establish objectives
• CTo replace the need for stakeholder buy-in
• DTo assign blame for process failures

Which technique is used to translate customer requirements into technical specifications?

• ADesign of Experiments
• BQuality Function Deployment (QFD)
• CStatistical Process Control
• DGauge R&R Study

In a SIPOC diagram, what does the "P" stand for?

• AProduct
• BProcess
• CPlan
• DPerformance

A stakeholder analysis matrix typically evaluates stakeholders based on which two dimensions?

• AAge and education level
• BPower/authority and interest/involvement
• CDepartment and years of service
• DSalary level and job title

Which of the following is NOT a typical component of a well-defined problem statement?

• AMeasurable impact on the business
• BSpecific process or area affected
• CPre-identified root cause of the problem
• DTimeframe over which the problem has occurred

What is the primary purpose of a Measurement System Analysis (MSA)?

• ATo determine the root causes of process variation
• BTo evaluate the capability of the measurement system itself
• CTo calculate process capability indices
• DTo identify customer requirements

In a Gauge R&R study, what does the "R&R" stand for?

• ARange and Reliability
• BRepeatability and Reproducibility
• CRegression and Residuals
• DRisk and Return

A process has a specification limit of 10±2. The process mean is 10.5 and standard deviation is 0.4. What is the Cpk value?

• A1.25
• B1.17
• C0.83
• D1.67

Which probability distribution is most appropriate for modeling the number of defects per unit in a Poisson process?

• ANormal distribution
• BBinomial distribution
• CPoisson distribution
• DExponential distribution

What does a Cp value of 1.33 indicate about a process?

• AThe process is not capable
• BThe process is marginally capable
• CThe process is capable (4σ level)
• DThe process is at the 6σ level

A data set has a mean of 50, median of 48, and mode of 45. What does this indicate about the distribution?

• AThe distribution is symmetric
• BThe distribution is positively skewed (right-skewed)
• CThe distribution is negatively skewed (left-skewed)
• DThe distribution is bimodal

In sampling theory, what is the relationship between sample size and sampling error?

• AAs sample size increases, sampling error increases
• BAs sample size increases, sampling error decreases
• CSampling error is independent of sample size
• DSampling error is always zero

Which of the following best describes precision in a measurement system?

• AThe closeness of measurements to the true value
• BThe closeness of repeated measurements to each other
• CThe ability to detect small changes
• DThe calibration frequency of the instrument

What is the purpose of rational subgrouping in control charts?

• ATo maximize the variation within subgroups
• BTo minimize the variation within subgroups while maximizing variation between subgroups
• CTo eliminate all variation from the process
• DTo increase the sample size

For a binomial distribution with n=100 and p=0.05, what is the expected number of successes?

• A5
• B10
• C0.5
• D95

In a hypothesis test, what is a Type I error?

• AFailing to reject a false null hypothesis
• BRejecting a true null hypothesis
• CAccepting the alternative hypothesis when it is false
• DUsing the wrong test statistic

What is the primary purpose of Analysis of Variance (ANOVA)?

• ATo compare the means of two groups
• BTo compare the means of three or more groups
• CTo analyze the variance within a single group
• DTo calculate correlation coefficients

In regression analysis, what does the R-squared value represent?

• AThe correlation coefficient between two variables
• BThe proportion of variance in the dependent variable explained by the independent variabl…
• CThe slope of the regression line
• DThe standard error of the estimate

Which of the following is the appropriate hypothesis test when comparing two population variances?

• At-test
• BChi-square test
• CF-test
• Dz-test

A correlation coefficient of -0.85 between two variables indicates:

• AA strong positive linear relationship
• BA strong negative linear relationship
• CNo linear relationship
• DA causal relationship

What is the purpose of a fishbone (Ishikawa) diagram?

• ATo display data distributions
• BTo identify and categorize potential root causes
• CTo calculate process capability
• DTo monitor process stability over time

In Failure Mode and Effects Analysis (FMEA), how is the Risk Priority Number (RPN) calculated?

• ARPN = Severity + Occurrence + Detection
• BRPN = Severity × Occurrence × Detection
• CRPN = Severity × (Occurrence + Detection)
• DRPN = (Severity + Occurrence) × Detection

What does a p-value less than 0.05 typically indicate in hypothesis testing?

• AThe null hypothesis should be accepted
• BThere is sufficient evidence to reject the null hypothesis at α=0.05
• CThe sample size was inadequate
• DThe test statistic was calculated incorrectly

Which tool would be most appropriate for analyzing the relationship between three continuous input variables and one continuous output variable?

• ASimple linear regression
• BMultiple linear regression
• COne-way ANOVA
• DChi-square test

What is multicollinearity in regression analysis?

• AWhen the dependent variable has high variance
• BWhen independent variables are highly correlated with each other
• CWhen the residuals are not normally distributed
• DWhen the sample size is too small

What is the primary purpose of Design of Experiments (DOE)?

• ATo collect data for process capability studies
• BTo systematically identify factors that affect process output and optimize settings
• CTo create control charts for process monitoring
• DTo conduct measurement system analysis

In a 2³ full factorial design, how many experimental runs are required?

• A6
• B8
• C9
• D16

What is the main advantage of fractional factorial designs over full factorial designs?

• AThey provide more accurate results
• BThey require fewer experimental runs while estimating main effects
• CThey eliminate the need for replication
• DThey can handle more than two levels per factor

In the 5S methodology, what does "Seiton" refer to?

• ASort
• BSet in order
• CShine
• DStandardize

What is the purpose of a pilot run in the Improve phase?

• ATo finalize the project charter
• BTo test process changes on a small scale before full implementation
• CTo conduct measurement system analysis
• DTo document the current process

What type of interaction effect occurs when the effect of one factor depends on the level of another factor?

• AMain effect
• BTwo-way interaction
• CCurvature effect
• DRandom effect

What is poka-yoke?

• AA statistical test for normality
• BA mistake-proofing technique to prevent errors
• CA type of control chart
• DA project management methodology

In Response Surface Methodology (RSM), what is the primary purpose of moving from a factorial design to a central composite design?

• ATo reduce the number of experimental runs
• BTo detect curvature and find optimal factor settings
• CTo eliminate confounding
• DTo increase the number of factors studied