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. VA/NVA Analysis, FMEA, Cycle Time Analysis use ______ as a primary input:
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 probability of Type I error is:
6. In an FMEA analysis, the customer have rated the severity as 9; occurrence is 5 and detection is 5. The measured Risk Priority Number (RPN) is:
7. A pizza outlet wants to compare if their delivery time is less than the standard delivery time of 30 min. The standard deviation 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. Choose the INCORRECT statement in context to FMEA:
12. Refer to the table below and select the critical reasons of 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. Choose the INCORRECT statements from the options below 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. Choose the INCORRECT statement:
21. Which of the graphs shown in the figure below could represent moderate positive correlation

22. Correlation ________ causation
23. Sufficiency Analysis in the Analyze Phase is done to: