QM670ExamIIJBooi.doc

QM670ExamIIJBooi - xam II Jason Booi 1 ANF produces nonwoven fabric An important measurement is the tensile strength which is the strength of the

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Exam II: Jason Booi One customer has specified that the mean tensile strength must fall between 240 g/si (grams per square inch) and 300 g/si. Based on past data, the 3σ control limits for the mean tensile strength are 249 and 285 g/si. Discuss the ability of the process to meet the customer’s specifications. Also, if the customer seeks Six Sigma compliance, what are your recommendations? UTL = 300 g/si Upper tolerance limit LTL = 240 g/si Lower tolerance limit µ 1= 249 g/si Mean 1 µ 2= 285 g/si Mean 2 Distance from UTL to mean1: =300 -249 = 51 Distance from UTL to mean 2: =300 - 285 = 15 Distance from mean 2 to LTL: 249- 240 = 9 Distance from mean 2 to LTL: 285- 240 = 45 Looking at the numbers it appears that ANF does fal within compliance standards and only need to reduce the strength by 5 g/si ANF has a second customer who requires that the mean basis weight must lie between 19.2 g (grams) and 20.4 g. Random samples of forty pieces of fabric were taken, and the sample means are given. From previous data, the standard deviation is known to be approximately 0.3 g. Determine the 3σ control limits and discuss whether the process is in a state of control. (Note that the observations are ordered by time period, i.e., the basis weight for the first sample is 18.7, 19.3 for the second, etc.) 18.7 19.3 20.1 19.7 19.4 19.2 19 19.3 20.2 20.3 195.2 20.4 20.3 20.1 19.8 19.5 19.4 19.7 19.9 19.4 19.2 197.7 18.9 18.7 19.1 19.6 19.8 20.1 20.3 19.8 19.4 19.3 195 19 19.2 19.5 19.6 19.8 20.2 20.5 20.1 19.7 19.3 196.9 784.8 40 UTL = 20.4 Process sigma(using UTL) = LTL = 19.2 µ = 19.62 = 1.623 δ = 0.4804912 Actual Upper: 22.502947 Actual Lower: 16.737053 0.052294702 Distance from UTL to mean = 0.78 Process sigma(using LTL) =
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This note was uploaded on 12/02/2011 for the course QM 670 taught by Professor Dr.keeney during the Fall '11 term at Jefferson College.

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