An extrusion molding produces pipe with an outer diameter specification of 15-14mm. A machine capability study records a mean of 14.56mm and a standard deviation of 0.85. Calculate Cp and Cpk. Is the machine capable if 1.11 is the minimum acceptable Cp /Cpk set by the company?
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- 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).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…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
- 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.4. A soda drink bottling company is interested in winning a contract with a popular drink brand. To win the contract the company must show that it is capable of meeting 6o quality. The contract is for the production of 355mL cans, for which a tolerance of +0.5mL is specified. The company believes the facility is in statistical control and has calculated a global value of R 0.15mL and 355.025mL for its production system. The com- pany ran a capability test by obtaining 10 samples (each of 8 elements) on which capability calculations will be performed. The data obtained is in the following table: Sample R Sample F R 0.18319 354.98938 0.15714 355.02304 B 0.15361 355.01149 G 0.19205 355.06814 0.14892 355.00997 H 0.16240 355.05145 0.19912 355.01490 I 0.19179 355.00207 E 0.18389 355.04694 J 0.11900 355.02327 The parameters A2, D3 and D4 for various n are shown in the following table. A2 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 D3 D3 0.419 1.924 0.076 A2 D4 0. 7.…What are typical performance testing errors?
- A manufacturer of disk drives for notebook computerswants an MTBF of at least 50,000 hours. Recent test results for10 units were one failure at 10,000 hours, another at 25,000 hours,The upper and lower specification limits for a component are 5.20, and 5.30 ounces, respectively. The process standard deviation is .05, and the process average is 5.24 ounces. a) Calculate Cpk. (Show formula and calculations) b) Does the process posses six sigma capability? Why or Why not? Please explain.Use MOST to determine the number of TMUs associated with each of the following scenarios: An assembly operator picks up a bolt located 10 inches away and places it (with no need for adjustments) into a pre-drilled hole 6 inches away from the initial location of the bolt. A B G A B P A
- Studies on a machine that molds plastic water pipe indicate that when it is injecting 25.76 mm diameter pipe, the process standard deviation is 0.75 mm. The pipe has a specification of 25.76 mm plus or minus 1.95 mm. What is the process capability index (Cp)? O a. 0.4333 b. 2.6 О с. 1.733 O d. 0.86678. Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of 1.100" ±.070". Currently, the process is performing at a grand average of 1.100" with a standard deviation of 0.015". Calculate the capability index of this process. The Cpk of this process is Is the process "capable"? No Yes (round your response to two decimal places).* In Problem 42.4, the design specification on the diameteris 28.0±2.0mm. (a)What proportion of parts fall outside the tolerance limits? (b) If the process were adjusted so that its mean diameter = 28.0 mm and the standard deviation remained the same, what proportion of parts would fall outside the tolerance limits? (c) With the adjusted mean at 28.0 mm, determine the value of the process capability index. Problem 42.4 A plastic extrusion process produces round extrudate with a mean diameter = 28.6 mm. The process is in statistical control and the output is normally distributed with standard deviation = 0.53 mm. Determine the process capability.