A soft drink bottling machine exhibits thefollowing production behavior:HourProductionDefects(Xi - u) 28:001010199:009802310:0010362411:009801712:009951813:0010302314:0010402515:0010051716:0010102117:0099018Z(Xi - µ)² =Calculate the control limits, determine thecontrol state and define if the process iscapable of operating at a maximum effectpercentage of 2%

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Answered: A soft drink bottling machine exhibits…

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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7.96 An insulated piston/cylinder contains 0.1 m³ air at 250 kPa, 300 K and it maintains constant pressure. More air flows in through a valve from a line at 300 kPa, 400 K, so the volume increases 60%. Use constant specific heats to solve for the final temper- ature and the total entropy generation.
1. Twenty samples, each consisting of 100 admission applications at a university, resulted in a total of 80 applications that had some type of error. Compute the control limits for a p-chart. What would be the impact on the final results if each sample contained 200 loan applications rather than 100 and all other data remained the same? Please show in detail these impacts quantitatively in your answers.
3
4. For a certain drilling machine of the Putnam Manufacturing Company, control limits foran x−Chart have been determined as: UCLx = 86.8 and LCLx = 83.3 (a) Sample averages for the most recent six samples, in sequential order, are 83.2, 83.9,84.7, 85.4, 85.9, and 86.7. What should be concluded about the process average?Should some action be taken? Why or why not? (b) What would you conclude (and why) about the process average if the sample averagesfor the most recent six samples, in sequential order, were 85.6, 84.9, 86.2, 85.2, 85.5,and 85.1?
56. The construction of the p chart described in this chapter requires specification of both UCL and LCL levels. Is the LCL meaningful in this context? In particular, what does it mean when an observed value of p is less than the LCL? If only the UCL is used to signal an out-of-control condition, should the calculation of the UCL be modified in any way? (Hint: The definition of the Type 1 error probability, a, will be different. The hypothesis test for determining if the process is in control is one-sided rather than two-sided.)
3/4 roller chain is to transmit power from a 17-tooth drive sprocket to 34-tooth sprocket. Centers of the sprockets are 13 inches apart. Estimate the number of teeth in contact with the chain for the larger sprocket.
60 pt 1 plz help
Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan Hsing, Taiwan, is plastic golf tees. The injector molder produces golf tees that are designed to have an average height of 66 mm. To determine if this specification is met, random samples are taken from the production floor. One sample is contained in the file labeled THeight. a. Determine if the process is not producing the tees to specification. Use a significance level of 0.01. b. If the hypothesis test determines the specification is not being met, the production process will be shut down while causes and remedies are determined. At times, this occurs even though the process is functioning to specification. What type of statistical error is this?
J 1
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…
Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440+40. After 25 samples of size n=10 are analyzed, we find that: 25 25 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the R chart? UCL=65.54 and LCL=2.56 UCL=74.97 and LCL=9.41 UCL=79.96 and LCL=10.03 UCL=95.96 and LCL=12.04 UCL=72.82 and LCL=2.85
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

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