QUESTION-2 Consider the following process capability values where the specification limits are 45 t 5. Cpkacpl and Cp a) Draw the process distribution on the specification axis. b) Is the process capable? c) is the process centered?
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- over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d)over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?d. Compute the upper and lower control limits for an np chart.e. Answer part (c) using the results of part (d).f. which control chart would be preferred in this situation? Explain.over several weeks of normal, or in-control, operation, 20 samples of 150 packageseach of synthetic-gut tennis strings were tested for breaking strength. A total of 141packages of the 3000 tested failed to conform to the manufacturer’s specifications.a. what is an estimate of the process proportion defective when the system is in control?b. Compute the upper and lower control limits for a p chart.c. with the results of part (b), what conclusion should be made about the process if testson a new sample of 150 packages find 12 defective? Do there appear to be assignablecauses in this situation?
- Determine the heteroscedasticity in a scatter plot?A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. In testing the university’s belief, how does one define the population parameter of interest?Listed below is the moisture content (by percent) for random samples of different fruits and vegetables. (image) a- At 5% significance level, can it be concluded that fruits differ from vegetables in average moisture content? Calculate the p-value and state the alternatives, and conclusion. b- Chick the assumptions of the above test.
- Consider an automatic production line that delivers computer components for inspection. According to the system’s specification, the interarrival time of the delivery follows a continuous uniform distribution between 5 to 15 minutes. The average inspection time of one component is 10 minutes. A simulation model was developed to replicate the system and eight samples were collected with the following data: Sample # 1 2 3 4 5 6 7 8 Interarrival time 14.7 14.8 6.8 11.6 6.3 13.3 7.9 10.3 Inspection time 8.3 5.7 4.0 9.0 10.6 5.9 8.5 7.0 Apply the Kolmogorov-Smirnov test, at the 1% level of significance, to test the hypothesis that the simulated interarrival times comply with the system’s specification. Conduct a statistical test to determine if the simulated inspection times are consistent with the system behavior at the 5% level of significance. Give another set of inspection times, 9.1, 12.7, 8.7, 10.8, 11.6, and 6.8,…A major car manufacturer wants to test a new engine to determine whether it meets new air pollution standards. The mean emission µ of all engines of type must be less than 20 parts per million of carbon. Ten engines are manufactured for testing purposes and the emission level of each is determined. The data (in parts per million) are listed below: 15.6 16.2 22.5 20.5 16.4 19.4 16.6 17.9 12.7 13.9 Do the data supply sufficient evidence to allow the manufacturer to conclude that this type of engine meets the pollution standard? Use a significance level of 5%.The Department of Natural Resources (DNR) received a complaint from recreational fishermen that a community was releasing sewage into the river where they fished. These types of releases lower the level of dissolved oxygen in the river and hence cause damage to the fish residing in the river. An inspector from the DNR designs a study to investigate the fishermen’s claim. Fifteen water samples are selected at locations on the river upstream from the community and fifteen samples are selected downstream from the community. The dissolved oxygen readings in parts per million (ppm) are given in the following table.Upstream 5.2 4.8 5.1 5.0 4.9 4.8 5.0 4.7 4.7 5.0 4.6 5.2 5.0 4.9 4.7, Downstream 3.2 3.4 3.7 3.9 3.6 3.8 3.9 3.6 4.1 3.3 4.5 3.7 3.9 3.8 3.7 a.In order for the discharge to have an impact on fish health, there needs to be at least a 0.5 ppm reduction in the dissolved oxygen. Do the data provide sufficient evidence that there is a large enough reduction in the mean dissolved oxygen…
- Consider the following examples of populations,together with the variable/characteristic measured on each population unit. a. Population: Accountability reports by State Universities and Colleges and Government Owned and Controlled Corporations submitted to the Commission on Audit.Variable: Total Disbursements REQUIRED: i. classify the variable ofinterest as either qualitative or quantitative,ii. determine the correspondinglevel of measurement of the variable.iii. Name another variable that canbe measured or observed from the population.An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 Make a Normal Probability Plot and a Residual plot of the Residuals (Y axis) vs. Apartment Size (X axis). Based on these results,…An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 (a) Construct a scatter plot. (b) Use the least-squares method to determine the regression coefficients (intercept and slope). (c)…