Class 5 Worksheet

The data shown in Table 1 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch. (a) Set up and R charts on the process. Is the process in statistical control? (b) Estimate the process standard deviation using the range method. (c) If specifications are at nominal ±100, what can you say about the capability of this process? Calculate the PCR Cp Table 1. Hole Diameter Data Sample Number X1 X2 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 -30 +50 0 -50 -10 -10 +20 -40 0 0 -30 0 +20 0 0 +70 0 +10 +40 +30 +30 +30 +10 0 +20 +50 +50 -20 +50 -60 +10 0 0 +20 +10 -20 -10 0 +20 X3 X4 X5 -30 +20 +30 +50 +40 +20 +30 +20 +30 +20 +30 0 +20 +10 +40 +10 +10 -10 +50 -10 -30 -10 +50 +40 0 +30 -10 0 +30 +30 -20 +50 +30 +10 +40 +20 0 +30 +10 +30 -20 +30 +30 +20 -20 +50 +20 +10 -40 +20 -20 -10 -10 0 -20 +10 +10 +50 0 +10

A work measurement analyst at the Dorben Company took 10 observations of a high-production job. He rated the performance of each cycle and then calculated the average normal time for each item. The item with the largest dispersion had a mean of 0.30 minutes and a standard deviation of 0.03 minutes. If it is desired to have sample data within ±5% of the actual data, how many observations should the time study analyst take of this operation?

Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take o7 boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 07 samples are 14.6,16.5,18.1,13.2,16,15.9, and 14.8 respectively. Likewise, the range values for the each of 07 samples are o.7,0.5, 0.4,0.2,0.4,0.5, and o.9 respectively. Ebr the X-bar charts and R-charts, the Parameters, A2, D3 and D4 are respectively.

Essay: Please answer the following questions: 1. Differentiate probability sampling from non-probability sampling. 2. Illustrate the application of the following probability techniques: a. Systematic Random Sampling b. Stratified Random Sampling c. Random Sampling 3. Why do researchers prefer the use of probability techniques? Simple

To estimate the mean age for a population of 4000 employees, a simple random sample of40 employees is selected.a. Would you use the finite population correction factor in calculating the standard errorof the mean? Explain

Please answer question with as much detail as possible Please Use the “NCEES FE Reference Handbook 10.0.1” which can be downloaded for Free from https://ncees.org/ as your Reference for tables and formulas

Quality Engineering question Why is decreasing variability so important during data collection and sampling? Please answer in your own words.

5 In a stop watch time study, the actual readings in minutes, recorded for an element are: 0.05, 0.06, 0.05, 0.05, 0.05, 0.06, 0.06, 0.05, 0.06, 0.06, 0.06, 0.06, 0.05, 0.05, 0.06 and 0.05 ) Have sufficient number of readings.been taken for 95% confidence level and ±5% accurancy? (ii) If the rating is 120% what would be the normal time for element?

Please solve this question

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The sales of a product during the last four years were 860, 880, 870 and 890 units. The forecast for the fourth year was 876 units. If the forecast for the fifth year, using simple exponential smoothing, is equal to the forecast using a three period moving average, what is the value of the exponential smoothing constant?

One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 100 clamps, the average time needed to complete this step was 80seconds and the standard deviation was 15 seconds. a.Find a 95% confidence interval for the mean time needed to complete the step. b.Find a 99.5% confidence interval for the mean time needed to complete the step. c.What is the confidence level of the interval (78,82)? d.How many clamps must be sampled so that a 95% confidence interval specifiesthe mean to within ±1 seconds? e. How many clamps must be sampled so that a 99.5% confidence interval specifies the mean to within ±1 seconds?

The network diagram for a project is shown in the accompanying figure, with three timeestimates for each activity. Activity times are in weeks. Do the following:a. Compute the expected time for each activity and the expected duration for each path.b. Identify the critical path.c. Compute the variance of each activity and the variance and standard deviation of eachpath.

Basic Manufacturing Process with 2 Job Types + Inspection Time between job arrivals at a machining station is exponentially distributed with mean 4.4 minutes. There are 2 types of jobs to be processed 30% of which is Type 1 and, 70% are of Type 2. Processing times are exponentially distributed. Mean processing time for Type 1 is 4.8 minutes, for Type 2 it is 2.5 minutes. After the job is processed, they go through an inspection process with one single inspector and an inspection time with triangular distribution (1,2,3.5). Inspector decides whether the part is good enough, scrap or should be reworked. 80% of the parts produced is good, 10 % is scrap and the rest needs rework. Rework is done by the same manufacturing machine. The priority among the parts will be Part1 first, part2 second and reworks of both type comes later. Rework time is normally distributed with mean 2 minutes and 0,2 std dev. Simulate the system for one 8-hour day.

(a) A very important component of a system has a mean time between failures of 100 hr and a mean time to repair of 10 hr. Determine the inherent availability of the system.           (b) If the equipment in Q7 (c i) above is required to meet an inherent availability requirement of 0.985 and a mean time between failures of 100 hr. Calculate the permissible mean time to repair and if the system as a mean of the time intervals between corrective maintenance actions of 900 hrs and the sum of the mean corrective maintenance time intervals including supply downtime and administrative down time of 10 hrs Determine the operational availability of the system

How do expectations about future economic conditions influence the speed of adjustment in the error correction model (ECM)? Are there any other factors that might affect the speed of adjustment?

QUALITY CONTROL

True, False or Uncertain. Explain your answer. Own wage elasticity JELLlincrease if product demand elasticity n? is high. In short run, when there is an increase in wage rate, each firm will hire less labor and so the industry labor demand is simply the horizontal summation of firm's labor demand. а. b. Labor demand is represented by the marginal revenue produce schedule (MRP) when we have competitive product market while it will be represented by the value of marginal product schedule (VMP) when we have a product market monopolist. When elasticity of substitution, SLK, increase that means the L and K are less substitutable, and the isoquant will be L-shaped. Minimum wage imposed by the government is always bad for the economy because it increase unemployment and deadweight loss. с. d. e. 3.

The data provided by a company for the year 2020 – 2021 to carry out Break Even Analysis and provide them the results, complete analysis and suggestions. The data is as follows:Building rent 20000 R.O Every month instalments 30000 R.OThe estimated sales are 750000.0 R.OMaterial Cost / unit 15.0 R.OProduction cost / unit 8.0 R. OTransportation & other Costs / unit (Approx) 4.00 R. O Maintenance cost / unit 1.5 R. O Salary of the employees / unit 0.8 R.OMarketing and advertisement cost / unit 0.7 R. OEach unit is sold at price 35.0 R. O Construct the B.E.P chart on a graph sheet and indicate, B.E.P, M.o.S and also indicate the new B.E.P & M.o.S after the improvement measures has been taken (With different colours). Show the calculations for the following parameters separately before and after the measures taken.1. Determine the B.E.P2. Determine the profit 3. Margin of safety.Also write your decisions taken to improve the profits of the company and to reduce the B.E.P.

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