EBK OM
6th Edition
ISBN: 9781305888210
Author: Collier
Publisher: YUZU
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Question
Chapter 5, Problem 5PA
(a)
Summary Introduction
Interpretation: The estimated loss for a production order is to be calculated if the quality characteristics under study takes on a value of 10.04 and 100 parts are produced.
Concept Introduction:
T’s loss functionis used to represent thelossaffecting the value of products produced by a company graphically.
(b)
Summary Introduction
Interpretation: The action required in this situation is to be explained.
Concept Introduction:
Project
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The Blitz Ltd.,an oil manufacturer. In their QA plan, It was mentioned that the the pouring temperature is very critical characteristic, thus required monitoring of Cp and Cpk. The specification of pouring temperature is 1400 +/- 10 degrees Celsius. The process engineer performed the inspection and came up with the following summary:
mean range = 1.45d2 value (from the table) = 2.326 ( for n of 5)mean temp = 1400.42
compute for estimated standard deviation
compute for Cp and Cpk values
Specifications for a part for a DVD player state that the part should weigh between 24 and 25ounces. The process that produces the parts has a mean of 24.5 ounces and a standard deviation of.2 ounce. The distribution of output is normal.a. What percentage of parts will not meet the weight specs?
A spring water factory ensures that each water bottle contains precisely 16.9 fluid ounces with an acceptable margin of error of 0.1 fluid ounces.
If the standard deviation of the water bottles is 0.06 fluid ounces, what is the process capability ratio (Cp) of the water bottles?
0.56
01
1.2
1.67
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- The Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations Into grams. O Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in…arrow_forwardA process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?arrow_forwardA domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomly selected crystals. a. Construct operating characteristic curves for acceptance criteria of 0, 1, and 2 (to 4 decimals). = d :0.02 p = 0.06 | p = 0.09 p= 0.11 | p = 0.16 1 b. If po is 0.02 and p1 0.09, what are the producer's and consumer's risks for each sampling plan in part (a) (to 4 decimals)? C At po = 0.02 | Producer's Risk At p1 = 0.09 | Consumer's Risk 1arrow_forward
- The output of a certain integrated-circuit productionline is checked daily by inspecting a sample of 100 units.Over a long period of time, the process has maintaineda yield of 80 percent, that is, a proportion defective of 20 percent, and the variation of the proportion defec-tive from day to day is measured by a standard devi-ation of 0.04. If on a certain day the sample contains 38 defectives, find the mean of the posterior distribu-tion of as an estimate of that day’s proportion defec-tive. Assume that the prior distribution of Θ is a beta distribution.arrow_forwardControl charts for X-bar and R, using a subgroup size of 5, are to be applied to control thecritical dimension of a certain manufacturing process. Specifications call for a nominal dimension of1,250.000 + 0.050 mm. The process is believed to have a σ of 0.015 mm Determine appropriate control limits for the X-bar and R charts. a) After 12 subgroups have been drawn and X-bar and R plotted on the charts, a computation of X-double bar give 1,250.015. b1) What is the probability that a value of X-bar will fall within the limits if this is the true value of the mean setting? b2) What is the probability that all 12values fall within the control limits? b) Make the necessary calculations to determine if the process can meet specifications by solvingfor Cp, Cpu, CpL, Cpk . Assume a normal distribution of product output. Illustrate how the processwould look like relative to the result of the computations of the process capability analysis.arrow_forwardWhy is calibration important to a good quality control system?arrow_forward
- The measurement of 85 automotive cables gave an arithmetic mean of the inner diameters of 3.51 mm and a standard deviation of 0.02 mm.The value required by the manufacturer is 3.5 upper/lower tolerance +0.04/ -0.12It is requested : a. Calculate the capability coefficients Cp, Cpk and state whether or not the machine is capable of producing compliant parts, i.e. whether or not the data dispersion is well centred. If applicable, calculate the adjustment coefficient Cr.b. If scrap is obtained, state whether it is recoverable or non-recoverable and calculate the percentage of scrap.c. Plot the limits of the tolerance field and the distribution of the measured data (using mean and standard deviation).arrow_forwardA travel agency is concerned with the accuracy and appearance of itineraries prepared for its clients. Defects can include errors in times, airlines, flight numbers, prices, car rental information, lodging, charge card numbers, and reservation numbers, as well as typographical errors. As the possible number of errors is nearly infinite, the agency measures the number of errors that do occur. The current process results in an average of five errors per itinerary. a. What are the two-sigma control limits for these defects? The UCLc equals _______________ and the LCLc equals ____________________ (Enter your responses rounded to three decimal places. If your answer for LCLc is negative, enter this value as 0.) b. A client scheduled a trip to Dallas. Her itinerary contained five errors. Interpret this information. A. The number of defects is within the control limits, so it is assumed that the process is not in control. B. The number of defects is within the…arrow_forwardthe upper specification limit USL equals 60 minutes and the lower specification limit equals 10 minutes after taking a sample of process lead times you find the average (x) process lead time equals 30 minutes with a standard deviation of 5 minutes. What is the cpk of this process? 2 1.33 1 0.66arrow_forward
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