Lean Six Sigma Black Belt Sample Paper: Analyze This sample paper will check your knowledge on Analyze phase for LSS Black Belt Click on 'Next' to start 1. Which of the following tools will you use to identify critical Xs?Trend ChartForce Field AnalysisPareto ChartControl Chart2. A tool that can help identify the root causes of a problem is __________Delphi TechniqueHistogram Chart5 WhysMultivoting3. Which of the following is a primary input for VA/NVA Analysis, FMEA, Cycle Time Analysis?Critical XsTop Down ChartProcess MapIshikawa Diagram4. Which measure of central tendency is the most preferred for a data set which has extreme values?ModeMedianMeanRange5. If alpha = 2% and beta = 20%, then what is the acceptable probability of Type I error?2%98%20%80%6. In an FMEA analysis, for a particular process step the customer has rated the severity as 9; occurrence as 5 and detection as 5. What is the Risk Priority Number (RPN) for the process step?1992259557. A pizza outlet collects the data on delivery time of 300 pizzas. It wants to compare if their delivery time is less than the standard delivery time of 30 min. The standard deviation of the population is not known; data is normally distributed. Which statistical test can be used?1 sample sign1 sample Z1 sample TANOVA8. Which of the following tools can help you list all potential Xs?Ishikawa, Process Map, Affinity DiagramBox Plot, Histogram, Scatter DiagramProblem Definition Tree, QFD, Goal Means DiagramControl Chart, PDCA, Mistake Proofing9. The correlation coefficient between Y (effect) and X (cause) is found to be r = - 0.95. What is the appropriate inference?Since r is negative, X is not criticalX is criticalThe variables have positive correlationThe variables have weak correlation10. Noise variables are input variables that impact the output variable Y but are difficult, impossible or we choose not to control. Which of the following is NOT an example of Noise variable?Raw Material for a productHumidity in the atmosphereLegal RegulationsAir Temperature11. Which of the following is INCORRECT in context of an FMEA?Severity of effect on the customer is marked on a scale of 1 to 10 where 10 signifies highest severityThe degree of occurrence is measured on a scale of 1 to 10 where 10 signifies the highest probability of occurrenceThe probability of detection is measured on a scale of 1 to 10 where 10 signifies absolute certainty of detectionNone of the above are incorrect12. Refer to the table below and select the top two defects that you will want to fix for this processDefect E, Defect ADefect C, Defect EDefect D, Defect EDefect A, Defect B13. Perform Normality Test for the data given in the table below and choose the correct inference:Data is normal with a p-value of 0.819Data is not normal with a p-value of 0.819Data is normal with a p-value of 0.189Data is not normal with a p-value of 0.01914. A construction company wants to switch to another similar priced concrete mix if it provides higher strength. Choose the correct hypothesis statements.Ho: Strength (New Mix) >= Strength (Old Mix) AND Ha: Strength (New Mix) < Strength (Old Mix)Ho: Strength (New Mix) > Strength (Old Mix) AND Ha: Strength (New Mix) >= Strength (Old Mix)Ho: Strength (New Mix) <= Strength (Old Mix) AND Ha: Strength (New Mix) > Strength (Old Mix)Ho: Strength (New Mix) < Strength (Old Mix) AND Ha: Strength (New Mix) > Strength (Old Mix)15. Which of the following statements are INCORRECT in context of hypothesis testing?I.Type II error means concluding that there is no difference when one existsII.Type II error means concluding that there is a difference when none exists III.Type I error means concluding that there is a difference when none existsIV.Type I error means concluding that there is no difference when one existsII and IVI, II, III and IVII and IIII and III16. There are five swimming schools in a city that run classes in the morning and evening. The time taken to swim 200m is recorded for a class from each of the schools and timings. The data for all classes is found to be normal. Which test will you use to ascertain that the mean time recorded for at least one class is not the same as the others, if the variances are equal?One way ANOVATwo Way ANOVAANOMMood’s Median Test17. There are two sprinters SS and BS, and only one can be selected for a State level championship of 100 m sprint. Assuming data to be normally distributed, how many samples are required to conclude if their performance is the same if a difference of 0.005 seconds is to be detected with a power of 90%? The sample standard deviation is 0.002.123518. For comparing means for which of the following will you use a Paired T test?Response time of a phone – tested on the same set of 20 phones with 5 applications open and then 10 applications openImpact of an additive on mileage – tested by recording mileage of 10 cars without the additive and another 10 cars with the additiveResolution time of a certain inquiry type – tested by recording the time taken to resolve for the same type of inquiry, 15 calls each, by Caller A and Caller BPerformance of Machine A and Machine B – tested by using different raw material for Machine A and Machine B19. A quality person from a buying company does a random quality check on a production lot. The decision to buy will be based on whether 98% of the products pass the quality check. 100 samples were tested and 96 passed the quality check. Should the company buy the lot?YesNoMore samples are neededCannot be said20. Which of the following statement is INCORRECT?Scatterplot provides a graphical representation of relationship between two variablesScatterplot does not quantify the relationship between two variablesCorrelation coefficient does not indicate anything about the strength of relationship between two variablesA regression equation can give the value of the output variable for a given input value21. Which of the graphs shown in the figure below could represent moderate positive correlation?IIIIIIIV22. Complete the following statement.Correlation ________ causation!ImpliesDoes not implyCan causeConfirms23. Sufficiency Analysis in the Analyze Phase is done to _______________Identify critical XsList all potential XsAscertain if we need additional critical XsAll of the aboveTime is Up!