Find the minimum sample size n needed to estimate μ for the given values of c, σ, and E. c=0.98, σ=6.9, and E=1 Assume that a preliminary sample has at least 30 members.
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- 5 Sample data: Mean (Microns) (N=4) Minimum Maximum3.821 3.764 3.9993.946 3.804 4.2514.049 4.039 4.4543.793 3.779 3.9233.635 3.534 4.0684.046 3.578 4.5043.569 2.974 3.9084.084 3.779 5.6673.414 2.806 4.2565.319 5.168 6.3464.096 4.092 4.2234.108 3.957 4.3084.037 3.982 4.3933.789 3.691 3.8534.066 4.023 4.269 Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72The operations manager of a Soft drink company is concerned about Machine No.3 in the assembly line. In order to make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 10 items produced from that machine. Recently, 12 samples were taken and the sample range and average computed for each are as follows: Sample Number Sample Range Sample Mean 1 1.00 45 2 1.21 44 3 0.81 45 4 1.00 46 5 1.11 47 6 0.72 46 7 0.76 49 8 1.01 48 9 1.02 50 10 0.89 51 11 0.76 49 12 1.10 51 During installation, the supplier set an average of 46 for the process with an average range 0.9. (a) Draw the appropriate control charts for machine No. 3. (b) Comment on your results.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.
- 20. A large national producer of cookies and baked goods uses a c chart to monitor the number of chocolate chips in its chocolate chip cookies. The company would like to have an average of six chips per cookie. One cookie is sampled each hour. The results of the last 12 hours were Number of Chips per Cookie Number of Chips per Cookie Hour Hour 1 7 7 3 2 8 6 3 4 3 3 4 3 10 2 5 5 11 4 4 12 4 a. Assuming a target value of c = 6, what are the upper and the lower control lim- its for a c chart? b. Are the 12 observations consistent with a target value of c = 6? If those 12 ob- servations constitute a baseline, what upper and lower control limits result? (Use the normal approximation for your calculations.)There is a contractual provision between an automotive parts company and a supplier of the company that the acceptance level of a lot is AQL = 1.5%. After receiving a lot of N = 2500 parts and performing a double sampling plan, 4 non-conforming parts were identified in the first lot tested and 3 non-conforming parts in the second lot tested.Required:a. Identify the symbolization of the size of the lot sent and the size of the two lots of samples to be checked (n1 and n2).b. Identify the value of acceptance criteria A1, A2 and rejection criteria R1, R2c. State the decision to accept or reject the lot.73) please please help me with this question I don't know how to do it A metal fabricator produces connecting rods with an outer dlameter that has a 1 0.05 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.020 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places.
- A. 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…The time needed for checking in at a hotel is to be investigated. Historically, the process has had astandard deviation equal to .146. The means of 39 samples of n = 14 areSample Mean Sample Mean Sample Mean Sample Mean1 3.86 11 3.88 21 3.84 31 3.882 3.90 12 3.86 22 3.82 32 3.763 3.83 13 3.88 23 3.89 33 3.834 3.81 14 3.81 24 3.86 34 3.775 3.84 15 3.83 25 3.88 35 3.866 3.83 16 3.86 26 3.90 36 3.807 3.87 17 3.82 27 3.81 37 3.848 3.88 18 3.86 28 3.86 38 3.799 3.84 19 3.84 29 3.98 39 3.8510 3.80 20 3.87 30 3.96a. Construct an x¯ -chart for this process with three-sigma limits. Is the process in control?b. Analyze the data using a median run test and an up/down run test. What can you conclude?A new fly spray is applied to 50 samples each of 5 flies and the number of living fliescounted after an hour. The results were as follows: Number living 0 1 2 3 4 5 frequency 7 20 12 9 1 1 i. Calculate the mean number of living flies per sample and hence an estimate for p, the probability of a fly surviving the sprayii. Using your estimate calculate the expected frequencies (each correct to one decimalplace) corresponding to a binomial distributioniii. Perform a chi – square goodness – of – fit test using a 5% significance level.(c)
- standard Deviation (σ) = SQRT(Variance) = SQRT(6) = 2.45 This is not clear for me. How did you do it?S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability indexMake an np chart for the following data: n non-conforming 400 12 400 10 400 8 400 14 400 21 400 16 400 18 400 15 400 12 400 17