Hi, I need help solving this practice problem. Thank you! (Note: for the last box, options are 'Some' or 'No'.) The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in eachelementary school yielded the following data:SchoolABCDFschools out of control.No. of Test Errors443444524384145For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is:nerrors (round your response to two decimal places).UCL =LCLc =errors (round your response to two decimal places and if your answer is negative, enter this value as 0).According to the c-chart, there are

SchoolNo. of test Errors A45B24C38D41E45Sum193

The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School A B C D E For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: UCLC = errors (round your response to two decimal places). LCLc = errors (round your response to two decimal places and if your answer is negative, enter this value as 0). According to the c-chart, there are schools out of control. No. of Test Errors 45 24 38 41 45

The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School A B C D E For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: UCLC = errors (round your response to two decimal places). LCLc = errors (round your response to two decimal places and if your answer is negative, enter this value as 0). According to the c-chart, there are schools out of control. No. of Test Errors 45 24 38 41 45

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...

See similar textbooks

Similar questions

K The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School A 4 C E No. of Test Errors 48 21 32 40 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: UCL = errors (round your response to two decimal places).
1. The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School No. of Test ErrorsA 78B 24C 45D 44E 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: UCLc = ___ errors 2. LCLc = ___ errors 3. The process is in control when the number of errors is within the limits. According to the c-chart, there are ___ schools out of control.
A medical facility does MRIs for sports injuries. Occasionally a test yields inconclusive results andmust be repeated. Using the following sample data and n = 200, determine the upper and lowercontrol limits for the fraction of retests using two-sigma limits. Is the process in control?SAMPLE1 2 3 4 5 6 7 8 9 10 11 12 13Number of retests 1 2 2 0 2 1 2 0 2 7 3 2 1
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 .
In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above. Calculate p-bar based on the samples above. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%? Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.
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 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.
Ettlie Engineering has a new catalyst injection system for your countertop production line. Your process engineering departmenthas conducted experiments and determined that the mean is 8.01 grams with a standard deviation of .03. Your specificationsare: m = 8.0 and s = .04, which means an upper specification limit of 8.12 [ = 8.0 + 3(.04)] and a lower specification limit of7.88 [= 8.0 - 3(.04)].What is the Cpk performance of the injection system?
Distinguish between a sampling error and a nonsampling error.How can each be reduced?
2) The specification for a Lindemann’s stainless steel chimney liner requires a thickness of 7.1 mm ± 0.1 mm. The firm’s quality analyst determines that the liner process operates at a mean thickness of 7.13 mm with the standard deviation of the process being 0.02 mm. a) Calculate the upper and the lower limits for the stainless steel chimney liner. b) Calculate the Cpand Cpkfor this process. Hint: Cp = (Upper Specification Limit – Lower Specification Limit)/6sigma Cpk = minimum of [(Upper Specification Limit – Xbar)/3sigma], [(Xbar – Lower Specification Limit)/3sigma]
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…
Telephone inquiries of 100 IRS "customers" aremonitored daily at random by Xiangling Hu. Incidents of incorrectinformation or other nonconformities (such as impolitenessto customers) are recorded. The data for last week follow: a) Construct a 3-standard deviation c-chart of nonconformities.b) What does the control chart tell you about the IRS telephoneoperators?
Using samples of 200 credit card statements, an auditor found the following: Sample 1 2 3 4 Number with errors 4 2 5 9 a. Determine the fraction defective in each sample. b. If the true fraction defective for this process is unknown, what is your estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? Page 457 e. What alpha risk would control limits of .047 and .003 provide? f. Using control limits of .047 and .003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control? Can you show me the steps and formulas using excel