Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- In a research on weight of cereal dispersed into a box of cereal, a company collected m=12 sets of inside ring diameter samples with a subgroup size of n=6 , the grand mean =17.8 ounces and the average range =1.02 ounces. Determine the upper control limit for an R chart. Enter your answer to 2 decimal places.arrow_forward54 Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.20 ounce. For a sample size of 64, the 3-sigma X chart control limits are: Upper Control Limit (UCL) = ounces (round your response to two decimal places).arrow_forwardA manager wishes to build a control chart for a process. A total of five (05) samples are collected with five (05) observations within each sample. The sample means (X-bar) are; 15.36, 14.61. 16.36, 20.28, and 15.77 respectively. Also, the corresponding ranges are; 10.79,8.37,4.81, 8.17, and 3.31 respectively. The lower and upper control limits of the x-bar chart are ,respectively O a. 16.55, 11.47 Ob. 12.40, 19.72 Oc. 12.36, 20.59 Od. 18.55, 13.47 De. None is correctarrow_forward
- Please show all workarrow_forwardJus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Six samples were taken during the first week of production. The OM team wants to check if the dispersion of the process is in control. What will be the 3-sigma upper and lower control limits, respectively? Sample Bottle 1 Bottle 2 Bottle 3 Bottle 4 1 16.5 16.3 15.7 16.2 2 16.1 16 15.5 16.1 3 16.3 16.5 15.8 15.7 4 15.6 16 16.3 16.2 5 16 15.9 16.2 15.8 6 15.9 16.3 16.1 15.5arrow_forwardThe results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. LCLp Day Defectives = 1 5 2 7 3 7 4 9 5 5 6 6 a) The upper and lower 3-sigma control chart limits are: UCL = 0.127 (enter your response as a number between 0 and 1, rounded to three decimal places). (enter your response as a number between 0 and 1, rounded to three decimal places). 7 1 8 6 9 10 10 1arrow_forward
- An X-bar chart has the following control limits UCL=251.5 and LCL=248.5. The sample size is n=4, the process mean is equal to 250 and the process standard deviation is sigma = 1.0. What is the Cp value ? 0.500 not enough information 0.316 0.408 0.447 0.353arrow_forwardSample size (n) is 9, average of the sample ranges (R¯)is 4. Calculate the UCL and LCL of the range chart for this process. n A2 D3 D4 2 1.880 0.000 3.267 3 1.023 0.000 2.575 4 0.729 0.000 2.282 5 0.577 0.000 2.114 6 0.483 0.000 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 UCL = 3.82, LCL = 2.18 Cannot be calculated UCL=7.26, LCL=0.74 UCL = 2.18, LCL = 3.82 UCL=0.74, LCL=7.26arrow_forwardA manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 40.75, and the average range is 10.30. From Table S6.1, the appropriate value of D3 is 0, and D4 is 2.115. What are the UCL and LCL, respectively, for this range chart? A.8.37 and 0.00 B.71.65 and 9.85 C.12.42 and 8.19 D.21.78 and 0.00 E.51.05 and 30.45arrow_forward
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