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 are normally distributed with stated mean and standard deviation p‐value is 0.533 and data are not normally distributed with stated mean and standard deviation p‐value is 0.533 and data are not normally distributed with stated mean and standard deviation p value is 0.2533 and data are exponentially distributed with stated mean and standard d deviation 2. What % 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=74 4. For the data provided in table 4, which of the following measures is a robust measure of central tendency? Arithmetic mean Median Mode Range 5. Assuming the data follows perfect normal distribution, what % of the values fall +‐ 2 sigma of the mean? 68.27% 95.46% 99.73% 90% 6. If Sample Variance is 24.01, Range=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‐Production 8. A box plot displays: Median Range Inter‐Quartile Range All of the above 9. Which of the following is a discrete distribution? F‐distribution Normal t‐ distribution Poisson 10. 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 be any number12. 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 Communication 13. Which graphical plot plots quartiles? Histogram Dot plot Normal Plot Box plot 14. A good Six Sigma DMAIC project is one, for which Cause and solution are unknown at approval stage Causes are unknown however Solutions can be found with good brainstorming techniques Causes are known but solution is unknown Some people (subject matter experts) know solution however solution needs to validated