Concept explainers
a)
To determine: The largest standard deviation that the machine that fills the bar mold can hold.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
b)
To determine: The capability of the process.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
c)
To determine: The lowest setting in ounces for filling machine in terms of six-bar box that will provide capability.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
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Operations Management
- Vera Johnson and Merris Williams manufacture vanishing cream. Their packaging process has four steps: (1) mix, (2) fill, (3) cap, and (4) label. They have had the reported process failures analyzed, which shows the following:Process failure FrequencyLumps of unmixed product 7Over- or underfilled jars 18Jar lids did not seal 6Labels rumpled or missing 29 Total 60 Draw a Pareto chart to identify the vital failures.arrow_forwardA 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 1.67arrow_forwardA 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 capablearrow_forward
- A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?arrow_forward4. Problem 8.29 The number of imperfections in bond paper produced by a paper mill is observed over a period of several days. Table 8-28 shows the area inspected and the number of imperfections for 25 samples. Construct a control chart for the number of imperfections per square meter. Revise the limits, if necessary, assuming special causes for the out-of-control points. TABLE 8-28 Area Area Sample Inspected (m?) Imperfections Sample Inspected (m²) Imperfections 1 150 6 14 300 8 2 100 8 15 300 12 3 200 5 16 200 6 4 150 4 17 150 4 250 10 18 200 7 6. 100 11 19 150 14 7 150 20 100 4 8 200 5 21 100 8 9 300 10 22 200 10 250 10 23 300 12 11 100 24 250 7 12 200 4 25 200 5 13 250 12arrow_forwardAuto 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? x= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Çarrow_forward
- Control 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_forward A fast food franchise tracked the number of errors that occurred in customers orders. These included; * wrong menu items *wrong size drink *lack of condiments *wrong price total *and so on... Some orders may have more than one error. In one week, 1500 orders were filled, and a total of 72 errors were discovered. Find the control limits for a C – Chart to monitor the number of errors per order. Is order accuracy, good or bad ? Explain.arrow_forwardIs a capable process a perfect process? That is, does acapable process generate only output that meets specifications? Explain.arrow_forward
- Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 15 ounces (425 grams) per box. Each box contains 10 individual 1.5-ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 43.5 grams so that the average net weight per box of 10 packets will be 435 grams. Tolerances are set for the box to weigh 435 plus or minus 11 grams. The standard deviation for the packet-filling process is 1.02grams. The target process capability ratio is 1.33. One day, the packet-filling process average weight drifts down to 43.0 grams. Is the packaging process capable? Is an adjustment needed? Since the process capability index, Cpk is the process is not capable or is capable.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_forwardAutopitch devices are made for both major- andminor-league teams to help them improve their batting averages.When set at the standard position, Autopitch can throw hardballstoward a batter at an average speed of 60 mph. To monitorthese devices and to maintain the highest quality, Autopitchexecutive Neil Geismar takes samples of 10 devices at a time. Theaverage range is 3 mph. Using this information, construct controllimits for:a) :X chart.b) R chart.arrow_forward
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