A company produces two types of products: Product A and Product B. The production process for each product involves several steps, and the defect rate varies across these steps. In a recent quality control analysis, it was found that 10% of Product A and 15% of Product B are defective. Furthermore, 20% of the defective items are identified during the first inspection, while 80% are caught during the second inspection. 1. If 30% of the total production is Product A and 70% is Product B, what is the overall defect rate for the company?
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- 3) Two suppliers are bidding for a customer's business. Both are similar in cost, percentage of on-time deliveries, etc. The final decision will be based on which supplier provides the "best" quality. The process outputs for suppliers A and B are displayed below. Supplier A's process has half the variation as B's, but is centered halfway between the middle of the tolerance and the USL, with 0.1% above the USL. Supplier B, on the other hand, is centered exactly at the middle of the tolerance, with 0.1% of its output outside each of the two specifications. Other estimates: SD (A): 0.809 SD (B): 1.618 Supplier A 52.5 Supplier B Supplier A has 0.5% 0.5% defects 0.25% 0.25% Supplier B has 0.25 % defective both sides LSL-45 50 USL-56 Questions 3||3a) What is the Cp of Supplier A? 4||3b)What is the Cp of Supplier B? 5||3c) What is the Cpk of supplier A? 6||3d) What is the Cpk of Supplier b? 7||3e) Who should get the bid award? 8||3f) Per 1000 products, how many good products has Supplier A…7. In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots. This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of batches consisting of two or more lots of material is more difficult to control, and 40% of such batches require additional processing to achieve the required viscosity. Let A denote the event that a batch is formed from two different lots, and let B denote the event that a lot requires additional processing. Determine the following probabilities: а. Р(А) b. P(A') c. P(B|A) d. P(B|A') e. P(ANB) f. P(ANB') д. P(B)2. A clinical trial is being conducted in order to determine the efficacy of a new drug used to treat Rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but also by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 3.0 mg/dL, and if the standard deviation for C-reactive protein concentrations among arthritis patients was previously documented at 8 mg/dL, how many patients should be recruited for each group in the study assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? Choose from the following. A) n for the treatment group = 112; n for the control group = 111 B)n for the treatment group = 56; n for the control group = 57 C) n for the treatment group = 56; n…
- 3. You are curious to understand if there is a relationship between the average grade (in %) that students received in Assignment 1, 2, and 3 of ECOR 2050 (assignments that covered midterm material) and their grade (in %) in the Midterm of the course. You are limited to collect 7 sets of data (midterm vs average assignments). For that, you can check the google sheets to find grades of assignment 1, 2, and 3 and midterm for 7 students. You should be careful that your data set is not biased. a) Collect the information and record them in the table below (please use a typed table/numbers as we need to copy/paste your numbers into Excel for checking your solution and marking). Mention how you ensured that your data set is random and unbiased. Student 2 3 4 6. 7 Grade (%) Average of Assignment 1, 2, and 3 (assignments before midterm) Midterm b) Using the collected information, conduct a simple linear regression analysis and find the regression line. Also, estimate the coefficient of…Two groups, A and B, consist of 100 people each who have a disease. A serum is given to group A but not to group B (which is called the control). It is found that in groups A and B, 75 and 65 people, respectively, recover from the disease. At significant levels of (a) 0.01, (b) 0.05, test the hypothesis that the serum helps cure the disease.14) Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.
- 1. A group of investigators wishes to explore the relationship between the use of hair dyes and the development of breast cancer in females. A group of 100 beauticians 40–49 years of age is identified and followed for five years. After five years, 20 new cases of breast cancer have occurred. Assume that breast cancer incidence over this time period for average American women in this age group is 30/100. We wish to test the hypothesis that using hair dyes decrease the risk of breast cancer. Compute p-value the answer is not 0.0021 a) 0 b) 47.6190The MPS for product A calls for 100 units to be completed in week 4 and 200 units in week 7 (the lead time is one week). Spare part demand for Item B is 10 units per week. Item B: Lot sizing rule: FOQ=500 Lead time (wks): 2 Beginning (on-hand) inventory: 100 Scheduled receipts: none Item C: Lot sizing rule: LFL Lead time (wks): 3 Beginning (on-hand) inventory: 10 Scheduled receipts: 200 (week 2) Develop a material requirement plan for the next 7 weeks for items B and C. What would be the impact of a scheduled receipt of 200 units for item B in week 2 (and all other data remained the same) on your calculated planned order receipts and releases?4. a. A manufacturer wants to measure the relationship between the sweetness index (y) of peach juice and the amount of water soluble pectin (x) in the juice. Data collected on these two variables for 10 production runs are shown in the table below. у 5.7 5.5 5.3 5.9 5.8 6.0 5.8 5.2 5.6 5.9 231 227 259 210 224 215 231 268 239 218 X i. Compute the Pearson correlation coefficient. ii. Using a 0.01 level of significance, test the hypothesis that there is no relationship between the two variables against the alternative hypothesis that this relationship is negative.
- Q. No. 3. To the Board of Revenue , the deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions are as follows: a. Develop a scatter diagram with adjusted gross income as the independent variable.b. Determine the correlation coefficient.c. Determine the standard error of estimated. Determine the coefficient of determination and interpret it.e. At the .05 significance level, is it reasonable to conclude that there is a positive relationship between the variables? What is the p-value?f. Develop the estimated regression equation.g. Estimate a reasonable level of total itemized deductions for a taxpayer with an…. Tex Tob Ltd is considering introducing new cleaning chemical for Timber floors. At present they are in the process of testing 3 different chemicals (A, B and C) which serve the same purpose. To test the durability of these chemicals, five (5) newly build houses were cleaned with product A, five (5) with product B, and five (5) with product C. The process was repeated until the floor painting showed signs of deterioration. The number of times each new house went through the cleaning before its floor paining deteriorated is shown in the table below. Observations Product A Product B Product C 1 30 34 28 2 32 30 28 3 28 28 29 4 35 35 30 5 29 36 32 Tex Tob Ltd must decide which chemical to market. The company requests your help to answer the following questions. Identify factor, treatment, experimental unit, and response variable Test the hypothesis with ANOVA to decide whether the three cleaning chemicals are…An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 7.8% rate of defects, the Company B ELTs have a 6.3% rate of defects and the Company C ELTs have 6.4% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A? Give your answer to three decimal places.