Lean Six Sigma Black Belt Sample Paper: Analyze 1. Which of the following tools will you use to identify critical Xs? Trend Chart Force Field Analysis Pareto Chart Control Chart2. A tool that can help identify the root causes of a problem is __________ Delphi Technique Histogram Chart 5 Whys Multivoting3. Which of the following is a primary input for VA/NVA Analysis, FMEA, Cycle Time Analysis? Critical Xs Top Down Chart Process Map Ishikawa Diagram4. Which measure of central tendency is the most preferred for a data set which has extreme values? Mode Median Mean Range5. 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? 19 9 225 9557. 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 sign 1 sample Z 1 sample T ANOVA8. Which of the following tools can help you list all potential Xs? Ishikawa, Process Map, Affinity Diagram Box Plot, Histogram, Scatter Diagram Problem Definition Tree, QFD, Goal Means Diagram Control 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 critical X is critical The variables have positive correlation The 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 product Humidity in the atmosphere Legal Regulations Air 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 severity The degree of occurrence is measured on a scale of 1 to 10 where 10 signifies the highest probability of occurrence The probability of detection is measured on a scale of 1 to 10 where 10 signifies absolute certainty of detection None of the above are incorrect12. Refer to the table below and select the top two defects that you will want to fix for this process Defect E, Defect A Defect C, Defect E Defect D, Defect E Defect 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 0.819 Data is not normal with a p-value of 0.819 Data is normal with a p-value of 0.189 Data 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 exists II and IV I, II, III and IV II and III I and III 16. 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 ANOVA Two Way ANOVA ANOM Mood’s Median Test 17. There are two sprinters SS and BS, and only one can be selected for a State level championship of 100 m sprint. 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. 1 2 3 518. 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 open Impact of an additive on mileage – tested by recording mileage of 10 cars without the additive and another 10 cars with the additive Resolution 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 B Performance 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? Yes No More samples are needed Cannot be said20. Which of the following statement is INCORRECT? Scatterplot provides a graphical representation of relationship between two variables Scatterplot does not quantify the relationship between two variables Correlation coefficient does not indicate anything about the strength of relationship between two variables A 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? I II III IV22. Complete the following statement.Correlation ________ causation! Implies Does not imply Can cause Confirms23. Sufficiency Analysis in the Analyze Phase is done to _______________ Identify critical Xs List all potential Xs Ascertain if we need additional critical Xs All of the above