ETI1622 Concept of Lean 6 Sigma: Assignment 7 Name___________________________ Date____ Q1) A sample data of measured values for length of a bolt was examined to show a mean value of XXXXXXXXXXand...

see attached file. Assignment is for a class called Lean Six Sigma.


ETI1622 Concept of Lean 6 Sigma: Assignment 7Name___________________________ Date____ Q1) A sample data of measured values for length of a bolt was examined to show a mean value of 10.717 and standard deviation of 0.0868. The histogram of the data shows a normal Gaussian distribution curve. What dimensions of the of bolt fall between 3 standard deviations of the mean. If the Upper and Lower specification limit of the bolt 10.9 and 10.55, find the capability indexes of the process Cpu, Cpl, Cp and Cpk of the process. Is the process capable? If not, what proportion meets specs? If the sample size is 20 what level of certainty within 90% of confidence the sample measurements represent. Q2) A car part has specification limit of 6 cm +- 0.001. The mean value of a sample of 6 car parts was found to be 6.0001 and the standard deviation of 0.0004. The process population was normal Gaussian. Is the process capable? If not, what proportions will meet specifications? Within what value of uncertainty that the mean of the process can be estimated within a 68% of confidence? Q3) A Z-score measured, at the USL and LSL, on a bell chart (Gaussian normal distribution) of a +-3-Sigma process, was found to be -1 and +1 respectively. The standard deviation of the process was found to be 1/3. What is the mean of the process? Q4) The sample statistics of a process were found to be: mean = 72.071; std. deviation = 1.268. The upper specification limit is 76 and the lower specification limit is 68. i) Find the process capability measures. ii) Find the percentages that do not meet specifications iii) What recommendation would you make to management concerning the process, based on these findings?