2. A beverage company would like to use a mean chart to monitor how much liquidbeverage it puts into each 500-ml bottle. They know from experience that whenever thisprocess is under control, bottle weight is normally distributed with a mean of 500 ml anda standard deviation of 2 ml. The company plans to measure samples of 30 bottles fromthe production lineevery hour and record the mean weight of liquid beverage in thebottles. If the company uses z = 3 as its standard for establishing the mean chart, wherewill the upper and lower control limits be on the chart? (Noteshaper: Scenario #28)

Given Overall mean (X¯) = 500 ml Standard Deviation (σ)=2 ml Simple Size (n) =30

Answered: A beverage company would like to use a…

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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C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk�� ) for this machine. Note: Round your answer to 3 decimal places. Should C-Spec use this machine to produce this part? multiple choice Yes No
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]
A machine cuts circular filters from large rolls of material. The diameters of the filters are normally distributed with a mean of 2.00 cm and a standard deviation of 0.02 cm. Specifications call for the filters to have diameters between 1.95 cm and 2.03 cm. What percent of production does not meet specifications
A microbrewery tracks its output in gallons over a five hour period for each of seven days. Their data is in the table below, and they went ahead and calculated the averages and ranges for the individual samples and the overall averages Their data and the factors tables can be found below. Calculate the upper (LCL) and lower (UCL) control limits for X bar, and R charts for their process. Day (X values) X̅ R 1 46 49 45 47 48 47.0 4 2 43 52 46 52 44 47.4 9 3 45 55 46 51 43 48.0 12 4 39 44 42 43 40 41.6 5 5 45 50 48 50 42 47.0 8 6 44 48 45 45 40 44.4 8 7 41 44 52 50 47 46.8 11 X̿ = 46.03 R̅ 8.14 Xbar chart - LCL = 40.48, UCL=46.25, R chart LCL=0, UCL=14.01 Xbar chart - LCL = 44.21, UCL=48.41, R chart LCL=0.49, UCL=17.18 Xbar chart - LCL = 42.61, UCL=49.45, R chart LCL=0.65, UCL=15.63 Xbar chart - LCL = 44.21, UCL=51.62, R chart LCL=0, UCL=17.18 Xbar chart - LCL = 41.31, UCL=50.75, R chart LCL=0, UCL=17.18
28. A local contractor manufactures the speakers used in telephones. The phone com- pany requires the speakers to ring at a specified noise level (in decibels). An X chart is being designed to monitor this variable. The process of sampling speakers from the line requires hitting the speakers with a fixed-force clapper and measur- ing the decibel level on a meter designed for that purpose. The cost of sampling is $1.25 per speaker. When the process goes out of control, the thickness of the speakers is incorrect. The cost of searching for an assignable cause is estimated to be $50. The cost of operating the process in an out-of-control state is estimated to be $180 per hour. Out of control corresponds to a shift of 2ơ in the decibel level, and the probability that the process shifts out of control in any hour is .03. a. The company uses an X chart based on 3ơ limits and subgroups of size 4. What is its hourly cost? b. What are the optimal values of n and k for this process and the…
Pepsi makes bottles that need to be between 30 and 32 oz. You do measurements, and you find that a normal distribution describes Pepsi's actual bottling machine performance. Specifically, the mean of the process is 30.5 oz, and the process standard deviation is 0.02 oz. If Pepsi wants to be within the tolerances 99.7% of the time, what is the process capability index? Round your answer to the nearest 2nd decimal point. For example, if your answer is 0.4435, enter 0.44 into the box.
A process screens a certain type of potash granule, resulting in a mean diameter of 0.067 cm and a standard deviation of 0.004 cm. The allowable variation in granule diameter is from 0.048cm to 0.087cm. Is the process capable? a. Cannnot be determined because sample size is not available b. Cannot be determined because USL and LSL information is not available c. Process is NOT capable d. Process is capable
Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. 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: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next
S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index
typing
Which of the following graphical presentations is not appropriate for numerical data? histogram pie chart time-series plot scatter plot
The types of charts that can show three dimensions are: doughnut charts O bubble charts O surface charts column charts Oarea charts

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