Small boxes of Caesar salad croutons are labeled "net weight 3.5 ounces." To construct control charts, random samples of 4 boxes were weighed. Five hours of observation yielded: Sample mean 3.5 1 2 3 4 5 3.7 4.6 3.4 3.5 range 1.4 1.3 1.4 1.6 1.5 a. Calculate the upper and lower control limits for the x chart? Draw the control chart. b. Calculate the upper and lower limits for the Range chart? Draw the control chart. c. Is this process in control? Explain-a simple yes or no answer is insufficient. d. What type of variation is present in each control chart?

Small boxes of Caesar salad croutons are labeled "net weight 3.5 ounces." To construct control charts, random samples of 4 boxes were weighed. Five hours of observation yielded: Sample mean 3.5 1 2 3 4 5 3.7 4.6 3.4 3.5 range 1.4 1.3 1.4 1.6 1.5 a. Calculate the upper and lower control limits for the x chart? Draw the control chart. b. Calculate the upper and lower limits for the Range chart? Draw the control chart. c. Is this process in control? Explain-a simple yes or no answer is insufficient. d. What type of variation is present in each control chart?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6
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1. Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 64, the 3-sigma x chart control limits are: Upper Control Limit (UCLx) = 14.0414.04 ounces (round your response to two decimal places). Lower Control Limit (LCLx) =?ounces (round your response to two decimal places). 2. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=? units (round your response to two decimal places). 3. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd.…
Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 64, the 3-sigma x chart control limits are: Upper Control Limit (UCLx) = nothing ounces (round your response to two decimal places).
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Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma x chart control limits are: Upper Control Limit (UCL) = Lower Control Limit (LCL) = ounces (round your response to two decimal places). ounces (round your response to two decimal places).