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## Lean Six Sigma Black Belt Sample Paper: Analyze

1. Which of the following tools will you use to identify critical Xs?
2. A tool that can help identify the root causes of a problem is __________
3. Which of the following is a primary input for VA/NVA Analysis, FMEA, Cycle Time Analysis?
4. Which measure of central tendency is the most preferred for a data set which has extreme values?
5. If alpha = 2% and beta = 20%, then what is the acceptable probability of Type I error?
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?
7. 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?
8. Which of the following tools can help you list all potential Xs?
9. The correlation coefficient between Y (effect) and X (cause) is found to be r = - 0.95. What is the appropriate inference?
10. 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?
11. Which of the following is INCORRECT in context of an FMEA?
12. Refer to the table below and select the top two defects that you will want to fix for this process 13. Perform Normality Test for the data given in the table below and choose the correct inference: 14. A construction company wants to switch to another similar priced concrete mix if it provides higher strength. Choose the correct hypothesis statements.
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 exists
II.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 exists
IV.Type I error means concluding that there is no difference when one exists
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?
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.
18. For comparing means for which of the following will you use a Paired T test?
19. 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?
20. Which of the following statement is INCORRECT?
21. Which of the graphs shown in the figure below could represent moderate positive correlation? 22. Complete the following statement.

Correlation ________ causation!
23. Sufficiency Analysis in the Analyze Phase is done to _______________