A process that produces titanium forgings for automobile turbocharger wheels is to be controlled through use of a fraction nonconforming chart. Initially, one sample of size 150 is taken each day for twenty days, and the results shown in the table below are observed. (a) Establish a control chart to monitor future production. (b) What is the smallest sample size that could be used for this process and still give a positive lower control limit on the chart? Nonconforming Unit Data Nonconforming Nonconforming Day Units Day Units 1 3242521205 1234567 8 9 10 3 11 12 13 14 15 16 17 18 19 20 2413601232
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- A process sampled 20 times with a sample of size 8 resulted in = 29.5 and R = 1.4. Compute the upper and lower control limits for the x chart for this process. (Round your answers to two decimal places.) UCL = LCL = Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.) UCL = LCL =Doritos chips are one of the most popular chips in the year 2020. Frito-Lay produces snack-sized bags of Doritos with 1.75-ounce bags. Unfortunately, Frito-Lay has received many complaints that the bags of chips lack the promised amount of chips. PepsiCo, the owner of Frito-Lay, decide to run an internal investigation of their Doritos chip production. They sample around 500 bags of chips to discover that they found an average of 1.59 ounces with a standard deviation of .12 ounces. Conduct a hypothesis test with an alpha-level of .05. Should they change their production of Doritos chips to match the 1.75 ounces on the bag?Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary polyunsaturated fat is linoleic acid. Suppose we randomly selected twelve adults for our study. We took their blood pressure measurements (systolic blood pressure) at the start and recorded them for each adult. Then we placed required these adults to consume 23g/day of safflower oil which is high in linoleic acid for four weeks. At the end of the four weeks, we took another systolic blood pressure(SBP) measurement. The paired data is provided below: Subject 1 2 3 4 5 6 7 8 9 10 11 12 Baseline SBP 119.67 100.00 123.56 109.89 96.22 133.33 115.78 126.39 122.78 117.44 111.33 92.39 1-month SBP 117.33 98.78 123.83 107.67 95.67 128.89 113.22 121.56 126.33 110.39 107.00 93.06 Use the appropriate nonparametric test at alpha level of 0.05, to test whether the diet heavy in linoleic acid increases systolic blood pressure (SBP).
- Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary polyunsaturated fat is linoleic acid. Suppose we randomly selected twelve adults for our study. We took their blood pressure measurements (systolic blood pressure) at the start and recorded them for each adult. Then we placed required these adults to consume 23g/day of safflower oil which is high in linoleic acid for four weeks. At the end of the four weeks, we took another systolic blood pressure(SBP) measurement. The paired data is provided below: Subject 1 2 3 4 5 6 7 8 9 10 11 12 Baseline SBP 119.67 100.00 123.56 109.89 96.22 133.33 115.78 126.39 122.78 117.44 111.33 92.39 1-month SBP 117.33 98.78 123.83 107.67 95.67 128.89 113.22 121.56 126.33 110.39 107.00 93.06 Use the appropriate nonparametric test at alpha level of 0.05, to test whether the diet heavy in linoleic acid increases systolic blood pressure (SBP). Use Steps 0-5At 0.05 level of significance, test the hypothesis that the new procedure is much better than theexisting one.(a) A daily sample of 30 items was taken over a period of 14 days in order to establish control limits. If 21 defectives were found, what should be the upper and lower control limits of the proportion of defectives?
- The Environmental Protection Agency (EPA) has collected data on LC50 measurements (concen- trations that kill 50% of test animals) for certain chemicals likely to be found in freshwater rivers and lakes. For certain species of fish, the LC50 measurements (in parts per million) for DDT in 12 experiments were as follows: 16, 5, 21, 19, 10, 5, 8, 2, 7, 2, 4, 9 Assume that the LC50 measurements have an approximately normal distribution. Construct a 95% confidence interval for the true mean LC50 for DDT.Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 verses H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts?Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 16 defective parts are found in the sample from machine 1, while 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same proportion of defective parts? Use a = 0.05. (a) Test the hypothesis Ho: P1 = P2 verses H;: P1 # P2. What is zg? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that both machines produce the same proportion of defective parts? Statistical Tables and Charts
- The automated data collection system for a manufacturing process will record data for 25,000 parts per day. Assume that, when stable, a certain process will operate with a nonconformance rate of 37.6 NCPPM (nonconforming parts per million). If the nonconformance rate per day is to be monitored using a control chart, what type of chart would be used? Choose a P, U, or X-Bar/S Charts, and explain in a few words.As per image An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips......At Quickie Car Wash, the wash process is advertised to take less than 7 minutes. Consequently, management has set a target average of 400 seconds for the wash process. Suppose the average range for a sample of 9 cars is 12 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process. The UCLx equals enter your response here seconds and the LCLx equals enter your response here seconds. (Enter your responses rounded to two decimal places.)