Lean Six Sigma Green Belt Sample Paper: Background 1. Please carry out Anderson‐ Darling normality test for the data provided in Table 1. What is the p‐value and inference at 5% significance level? p‐value is 0.533 and data is normally distributed p‐value is 0.533 and data is not normally distributed p‐value is 0.0533 and data is not normally distributed p value is 0.2533 and data are exponentially distributed2. What percentage of points fall between 70 and 90 in the box plot shown in figure? 25% 50% 75% 20%3. For the data provided in table 3, please compute Arithmetic Mean, sample standard deviation and median Mean=69.43, stdev=6.4, Median=70 Mean=69.13, stdev=5.4, Median=70 Mean=68.43, stdev=5.7, Median=72 Mean=68.13, stdev=4.9, Median=744. For the data provided in table 4, which of the following measures is a robust measure of central tendency? Arithmetic mean Median Mode Range5. Assuming the data follows perfect normal distribution, what percentage of the values fall within ± 2 sigma of the mean? 68.27% 95.46% 99.73% 90%6. If Sample Variance is 24.01, Range is 10, Sample standard deviation is equal to 4.4 5.1 4.9 576.487. What is sometimes called the 8th waste in Lean? Inventory Under‐utilisation of talent and skills Waiting Over‐Production8. A box plot displays: Median Range Inter‐Quartile Range All of the above9. Which of the following is a discrete distribution? F‐distribution Normal distribution t‐distribution Poisson distribution10. Radical Re‐engineering is commonly associated with DMAIC Lean DMADV ISO11. In a normal standard distribution, Mean =1, standard deviation =0 Mean =0, standard deviation =1 Mean =1, standard deviation =1 Mean and standard deviation can take any values12. According to John Kotter, what is the most common reason for project failure? Inability to create urgency Inability to form a team Lack of Agreement amongst Top Management Lack of Communication13. Which graphical tool plots quartiles? Histogram Dot plot Normal plot Box plot14. A good Six Sigma DMAIC project is one, for which Causes and solutions are unknown at approval stage Causes are unknown however, Solutions can be found with good brainstorming techniques Causes are known but solutions are unknown Some people (subject matter experts) know the solutions however, solutions needs to validatedTime is Up!