Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing itscustomers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found:View an exampleSample123Get more help.4Tubes77851567Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control.The UCL, equals1Sample8891011121314Tubes724869MacBook Pro3Sample151617181920TotalTubes8335and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.)36104Clear allCheck answerO

Find the Calculations below: Central line: Sum of Fraction Defectsn A central line is 0.0385…

Answered: Management at Webster Chemical Company…

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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concernedas to whether caulking tubes are being properly capped. Ifa significant proportion of the tubes are not being sealed,Webster is placing its customers in a messy situation.Tubes are packaged in large boxes of 144. Several boxes areinspected, and the following numbers of leaking tubes arefound: Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.
The Minnow County Highway Safety Department monitors accidents at the intersection of Routes 123and 14. Accidents at the intersection have averaged three per month.a. Which type of control chart should be used? Construct a control chart with three-sigma controllimits.b. Last month, seven accidents occurred at the intersection. Is this sufficient evidence to justify aclaim that something has changed at the intersection?
In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot of tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha hasa consumer’s risk of 10 percent and Zenon has a producer’s risk of 5 percent.a. When a shipment of product X is received from Zenon Corporation, what sample size should the receiving department test?b. What is the allowable number of defects in order to accept the shipment?
For 50 consecutive days, a process engineer has measured the weight of acomponent after it has been coated with a special paint. Each day, she takes a sampleof 10 components. The average across all 500 components (50 days, 10 componentsper day) is 45.343018 grams. The standard deviation across all parts is 0.0076382 gram.When constructing an X-bar chart, what would be the center line and what would be thelines for the upper and lower control limits?
In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha has a consumer's risk of 10 percent and Zenon has a producer's risk of 5 percent. When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test? Use Exhibit 10.16. Note: if the exact value of the computed LTPD ÷ AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. Note: Round up your answer to the next whole number. What is the allowable number of defects in…
. You are working in a small, student-run company that sends out merchandise withuniversity branding to alumni around the world. Every day, you take a sample of 50shipments that are ready to be shipped to the alumni and inspect them for correctness.Across all days, the average percentage of incorrect shipments is 5 percent. What wouldbe the upper control limit for a p-chart?a. 0b. 0.05c. 0.03082207d. 0.142466
The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. Day 1 2 3 4 5 6 7 8 9 10 Defectives 7 9 9 11 7 8 0 11 13 2 a) The upper and lower 3-sigma control chart limits are: Part 2 UCLp = enter your response here (enter your response as a number between 0 and 1, rounded to three decimal places). LCLx (enter your response as a number 4 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 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…
A shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5 Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show work
Five data entry operators work at the data process-ing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 250 records typedby these operators has been noted, as follows: a) Establish 3s upper and lower control limits.b) Why can the lower control limit not be a negative number? c) The industry standards for the upper and lower control lim-its are 0.10 and 0.01, respectively. What does this imply about Birmingham Bank’s own standards?
At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 140 milliliters (ml) of steroid solution per container. The average range for a sample of 3 containers is 4 ml. use the accompanying table to establish control limits for sample means and ranges for the filling process. 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 1.777 The UCLR equals to what ml and the LCLR equals to what ml. (Enter your responses rounded to two decimal places.) The UCLx equals to what ml and the LCLx is what ml. (Enter your responses rounded to two decimal places.)
You work for Raider Data Systems where thousands of insurance records are entered by clerks each day for a variety of client firms. You are in charge of setting control limits to include 99.73% of the random variation in the data entry process when it is in control. Samples that you collected from 20 employees are shown below. You carefully examine 100 records entered by each employee and count the number of errors entered by each clerk. You also compute the proportion defective in each sample. Using a p-chart, what are the upper and lower control limits? Sample Errors Made Proportion Defective 1 4 0.04 2 5 0.05 3 6 0.06 4 3 0.03 5 8 0.08

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