Mrs. Crabapple has a class with three students, and she has had four quizzes so far this semester. She has created control charts to determine if the variation in students’ scores from quiz to quiz is exhibiting only natural variation. Each of the quiz scores is shown below. The upper and lower control limits for the x-bar chart are 109.6 and 34.9, respectively. The upper and lower control limits for the R chart are 93.95 and 0, respectively.| Quiz | Bart | Lisa | Nelson ||------|------|------|--------|| 1 | 75 | 100 | 50 || 2 | 62 | 82 | 72 || 3 | 90 | 90 | 90 || 4 | 60 | 86 | 10 |**Is the process in control?**- A. Yes- B. NoIn this context, control charts are used to monitor the variation in student scores. There are no diagrams or graphs provided in the image.

A control chart is a statistical process control tool that is used to monitor and analyze the…

Answered: Mrs. Crabapple has a class with three…

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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29. Riverside Oil Čompany in eastern Kentucky produces regular and supreme gasoline. Each barrel of regular sells for $21 and must have an octane rating of at least 90. Each barrel of supreme sells for $25 and must have an octane rating of at least 97. Each of these types of gasoline are manufactured by mixing different quantities of the following three inputs: Octane Rating Barrels Available (in 1000s) Input Cost per Barrel 1 $17.25 100 150 $15.75 87 350 3 $17.75 110 300 Riverside has orders for 300,000 barrels of regular and 450,000 barrels of supreme. How should the company allocate the available inputs to the production of regular and supreme gasoline to maximize profits? a. Formulate an LP model for this problem. b. Create a spreadsheet model for this problem and solve it using Solver. c. What is the optimal solution?
A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected four packages and weighed each. The raw data (in ounces) from that quality control activity appear below. Weight Day Package 1 Package 2 Package 3 Package 4 Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the average of sample ranges in the random samples? Must compute each value in 2 dec pl.
Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean (u) of 12.00 and a standard deviation (a) of 0.04. Your desired performance is μ = 12.00 +3 standard deviations, where a = 0.045. For the given information, the process capability index (Cpk) - (round your response to three decimal places).
Please answer this question What is the acceptable standard deviation range for running of quality controls?
A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension Sample Air vent opening diameter (in mm 1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61 Determine the central line and control limits for the range and mean charts, and discuss whether or not the process is in statistical control.
Suppose that you are using a p chart to monitor the percentage of times that you fail to get phone numbers at bars. Each day for 30 days you ask 15 different people for their phone number. On average, 6 people declined to give you their phone number each day. What would be the upper control limit for the p chart?
4. 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: UCLx = 5.35, LCLx = 4.93; UCLR = 0.894, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Net Weight Sample Loaf # 1 Loaf # 2 Loaf # 3 Loaf # 4 1 4.9 5.2 5.1 5.0 2 5.3 5.1 5.2 5.3 3 4.9 5.2 4.9 5.2 4 5.5 5.5 5.3 5.5 5 5.3 5.2 5.3 5.0 Part 2 Based on the x-chart, is one or more samples beyond the control limits? ▼ No Yes .
Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 13.7. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows. Use three-sigma control limits. SAMPLE NUMBER 1 H234STO OHN345 5 6 7 8 9 10 11 ΕΕΕΕΕ 12 13 14 15 READINGS (IN OHMS) 1097 1094 978 1013 976 1016 977 986 983 1026 988 1014 991 1030 995 991 1023 1014 982 970 1030 1027 1017 1004 995 982 994 1008 1001 1004 995 1015 1026 978 1017 984 995 1007 988 970 1004 1028 1019 983 990 1026 1017 1010 987 994 1030 974 995 1012 1016 1011 983 1018 981 1020
Cartons of Plaster are supposed to weigh exactly 32 ounces. Inspectors want to develop process control charts. They take five samples of six (5) boxes each and weigh them. Sample means (X-bar) are: 33.8, 34.6, 34.7, 34.1, and 34.2 respectively. Also, the corresponding ranges are: 1.1, 0.3, 0.4, 0.7, and 0.3, respectively. The lower and upper control limits of the R-chart are ,respectively O a. None is correct O b. O and O.15 O c. 0.01 and 1.13 O d. 0.03 and 1.18 O e. O and 1.18
Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits (i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart? Sample 1 Sample 2 Sample 3 Pack 1 452.3 451.6 448.6 Sample 4 454.7 Sample 5 448.9 7.614 9.328 11.653 13.427 Pack 2 452.8 451.2 455.6 451.7 453.4 Pack 3 456 454.6 456.5 451 456.7 Pack 4 457.2 455.3 451.9 452.6 456.3 Pack 5 457.8 452.2 455.6 454.7 452.4 Pack 6 451.8 451.9 448.3 458.4 456
Boxes of Honey-Nut Oatmeal are produced to contain 15.0 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) = | ounces (round your response to two decimal places). Lower Control Limit (LCL;) = ounces (round your response to two decimal places).
An e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control Limit

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