onlineEXERCISE #8Operations department of Express Malam has carefully tracked the length of rail express delays. The most current datax chartk chartare given below.Sample NumberObservations (minutes late)12110.119.38.121.232.120.294.135.843.126.734a) Develop X chart for the process using 35 control limits.b) Develop an R chart for the prrocess using 35 control limits.c) What conclusions can be drawn?Solutions:Stop or what ?ObservationSampleNumber1X-barR.110.120.219.394.135.843.138.1421.232.126.7TotalX-Double BarR-Bar

A control chart is a statistical tool using in decision making to identify whether a process in…

Answered: Develop X chart for the process using…

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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8 A pizza delivery service wants to track their delivery times. They take eight samples of four deliveries and record the following data. What are the upper and lower control limits of their X-bar chart? (Note: Although it looks similar, the data in the table below is different from the data in the table relating to the UCL and LCL for the R chart.) Sample # 1 2 3 4 5 6 7 8 Item #1 21.1 20.2 24.6 22.6 23.7 20.9 22.4 20.7 Item #2 22.2 20.6 20 20.7 24.1 23.9 24.6 24.4 Item #3 23.0 24.5 23.2 23.0 20.7 22.8 23.0 22.8 Item #4 20.0 23.5 25.5 25.0 20.7 23.2 23.3 24.5 Sum 86.3 88.8 93.3 91.3 89.2 90.8 93.3 92.4 Group of answer choices 25.2, 20.0 25.4, 20.0 23.9, 21.3 24.1, 21.1
Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 50. Results are given for the last 10 samples. Sample 1 2 3 4 5 6 7 8 9 10Defectives 5 8 3 5 6 5 5 4 1 11 a) Establish the control limits to include of the random variation in defectives. UCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). LCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). c) If the sample size were 100 instead, how would your limits and conclusions change? UCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). LCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three…
Factors for Computing Control Chart Limits (3 sigma) Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 Part 4 c) What are the (UCLx) and (LCLx) using 3-sigma? (UCLx) = mm (round your response to two decimal places). (LCLx) = mm
9. A pizza delivery service wants to track their delivery times. They take eight samples of four deliveries and record the following data. What are the upper and lower control limits of their R-chart? (Note: Although it looks similar, the data in the table below is different from the data in the table relating to the UCL and LCL for the X-bar chart.) Sample # 1 2 3 4 5 6 7 8 Item #1 21.1 20.2 24.1 22.6 21.2 20.0 22.0 20.2 Item #2 21.7 20.6 21.0 22.1 24.1 24.2 24.6 24.9 Item #3 23.5 24.9 23.2 23.0 20.6 22.8 23.4 22.8 Item #4 20.0 23.5 24.8 25.0 20.7 23.2 23.3 24.5 Group of answer choices 7.0, 0.5 9.3, 0.0 8.5 0.0 10.1, 0.0
Use the data in the Excel file (#1 Data). These data represent seven samples (taken on seven sequential days) each containing eight bags of salt. The weights (in ounces) are shown. Create an X-bar chart and an R-chart for the data provided. Comment on whether each chart indicates the process is in control or not. Sample Observation 1 2 3 4 5 6 7 1 61.20 62.00 60.50 61.20 61.40 59.20 62.10 2 61.00 61.40 63.40 61.00 62.30 61.00 63.00 3 60.80 60.20 60.80 60.80 60.20 60.80 60.20 4 59.10 61.30 58.70 62.10 61.30 60.00 61.30 5 61.40 60.60 61.40 61.40 60.60 61.40 59.30 6 61.70 60.30 62.10 61.70 59.80 62.10 60.30 7 62.40 61.30 62.40 62.40 61.30 62.40 61.30 8 61.10 60.20 60.90 62.30 60.20 60.20 60.50
One of New England Air's top competitive priorities is on-time arrivals. Quality VP Clair Bond decided to personally monitor New England Air's performance. Each week for the past 30 weeks, Bond checked a random sample of 100 flight arrivals for on-time performance. Sample (week) Late Flights Sample (week) Late Flights1 4 16 32 3 17 23 11 18 104 2 19 25 1 20 16 2 21 17 4 22 208 7…
A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X- bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X- bar chart is 7.664, what should be the most appropriate sample size? O a. 3 O b. None is correct O C. 4 O d. 6 O e. 5
Use the three-step process described in the previous section on Using Control Charts and RunsTests Together to decide if the following observations represent a process that is in control.Observation 1 2 3 4 5 6 7 8 9 10 11 12No. of errors 1 0 3 2 0 1 3 2 1 0 2 3
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.51 . 208.24, 112.44 and 123.30 respectively. In the same sample, the corresponding ranges are: 13.1713.3815.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart?
Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?
At Quick Car Wash, the wash process is advertised to take less than 8 minutes. Consequently, management has set a target average of 440 seconds for the wash process. Suppose the average range for a sample of 9 cars is 10 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample (n) Factor for UCL and LCL for x-chart (A2) Factor for LCL for R-Chart (D3) Factor for UCL for R-Chart (D4) 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 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 Part 2 The UCLR equals enter your response here seconds and the LCLR equals enter your response here seconds. (Enter your responses rounded to two decimal places.)
Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 50. Results are given for the last 10 samples. Sample 1 2 3 4 5 6 7 8 9 10 Defectives 5 7 2 5 6 5 5 4 1 11 Part 2 The type of control chart that is best to monitor this process is p minus chartp−chart . Part 3 a) Establish the control limits to include 99.73% of the random variation in defectives. UCLp = enter your response here (enter your response as a number between 0 and 1, rounded to three decimal places).

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Develop X chart for the process using 35 control limits. Develop an R chart for the process using 35 control limits. What conclusions can be drawn?