A sample of silty clay was found by immersion in mercury to have a volume of 17.87 mm, while its mass at natural moisture content was 30 g and the particle specific gravity was 2.7. Calculate the void ratio, e, and degree of saturation, S, if, after oven-drying, the sample had a mass of 25.9 g.
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- C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time. Top Dimples 1 7 2 8 3 12 4 9 5 4 6 14 7 7 8 3 9 6 10 8 a. Assuming 10 observations are adequate for this purpose, determine the three-sigma control limits for dimples per camper top. The UCLc equals nothing and theLCLc equals nothing. (Enter your responses rounded to two decimal places. If your answer for LCLc is negative, enter this value as 0.) b. Suppose that the next camper top has 16 dimples. What can you say about the process now? A. The number of defects is greater than the upper control limit, so it is assumed that the process is in…Problem 1: 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: Day Mean (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Jim's Outfitters, Ic., makes custom western shirts. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results shown to the right. Shirt Defects 1 10 3 9 11 5 3 6 9 7 3 8 6 9 10 7 a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt. The UCL, equals and the LCL. equals| (Enter your responses rounded to two decimal places. If your answer for LCL, is negative, enter this value as 0.)4. C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inches. 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. a. Calculate the capability ratio for this machine. b. Calculate the capability index for this machine c. Should C-Spec use this machine to produce this part? d. Explain why? e. Show computationJim’s Outfitters, Inc., makes custom fancy shirts for cowboys. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results:Shirt Defects1 82 03 74 125 56 107 28 49 610 6a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt.b. Suppose that the next shirt has 13 flaws. What can you say about the process now?
- A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard devia-tion in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the averageweight, in pounds, of nine of the bowling balls produced that dayhas been assessed as follows: a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control lim-its are each two standard deviations from the mean. What are the values of the control limits?b) If three standard deviations are used in the chart, how do thesevalues change? Why?6 of 11 5 3. The manager of a building-supplies company randomly samples incoming lumber to see whether it meets quality specifications. From each shipment, 100 pieces of 2 x 4 lumber are inspected and judged according to whether they are first (acceptable) or second (defective) grade. The proportions of second-grade 2 x 4s recorded for 30 shipments were as follows: a. Construct a control chart for the proportion of second-grade 2 x 4s in samples of 100 pieces of lumber. b. Explain how the control chart can be of use to the manager of the building supplies company. Shipment No. Proportion of second grade 1 0.14 2 0.22 3 0.21 4 0.15 0.19 0.26 7 0.18 8 0.22 9 0.23 10 0.21 11 0.2 12 0.14 13 0.25 14 0.2 15 0.19 16 0.18 17 0.22 18 0.22 19 0.17 20 0.21 21 0.21 22 0.13 23 0.15 24 0.2 25 0.23 26 0.23 27 0.12 28 0.19 29 0.19 30 0.261. Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 350 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 8 11 7 21 16 2 5 12 5 22 11 3 19 13 15 23 6 4 10 14 3 24 6 5 10 15 12 25 13 6 7 16 7 26 11 7 11 17 12 27 15 8 9 18 3 28 6 9 7 19 18 29 12 10 12 20 16 30 4 a) Establish 3σ upper and lower control limits. UCLp = . 055.055 (enter your response as a number between 0 and 1, rounded to three decimal places). LCLp =?(enter your response as a number between 0 and 1, rounded to three decimal places).
- Jim's Outfitters, Inc., makes custom western shirts. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results shows below. Shirt 1 23456 ∞ 7 8 9 10 Defects 10 05 10 4 9 1 4 5 4 a. Assuming that 10 oberservation are adequate for these purpose, determine the three-sigma control limits for defects per shirt. (what are the UCLC and LCLC) b. Suppose that the next shirt has 12 flaws. What can you say abou the process now?please provide upper and lower limitsA. Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 350 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 8 11 7 21 16 2 5 12 5 22 11 3 19 13 15 23 6 4 10 14 3 24 6 5 10 15 12 25 13 6 7 16 7 26 11 7 11 17 12 27 15 8 9 18 3 28 6 9 7 19 18 29 12 10 12 20 16 30 4 a) Establish 3σ upper and lower control limits. UCLp = nothing (enter your response as a number between 0 and 1, rounded to three decimal places). B. Peter Ittig's department store, Ittig Brothers, is Amherst's largest independent…