1 (a) State the method of collecting of engineering data based on the given situation: (i) To investigate the effect of chemical in tyres on employee in car services centre, Nurse Health Institute has use employee health and employment records over the past two or three decades as a source of data. (ii) National Semiconductor company is able to identify ways to reduce defects and increase yield by analyzing and understanding the factors that drive performance such as identifying product sensitivities and the root cause of manufacturing inefficiencies.
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- State the method of collecting of engineering data based on the given situation:(i) To investigate the effect of chemical in tyres on employee in car services centre, Nurse Health Institute has use employee health and employment records over the past two or three decades as a source of data.(ii) National Semiconductor company is able to identify ways to reduce defects and increase yield by analyzing and understanding the factors that drive performance such as identifying product sensitivities and the root cause of manufacturing inefficiencies.The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determinationFloyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional warehouse direct to its customers. For a particular type of muffler, Floyd's EOQ analysis recommends orders with Q* = 20 to satisfy an annual demand of 180 mufflers. Floyd's has 250 working days per year, and the lead time averages 15 days.Note: Use Appendix B to identify the areas for the standard normal distribution. What is the reorder point if Floyd assumes a constant demand rate? If required, round your answer up to the nearest whole number. r = fill in the blank 1 Suppose that an analysis of Floyd's muffler demand shows that the lead-time demand follows a normal probability distribution with µ = 12 and σ = 2.2. If Floyd's management can tolerate one stock-out per year, what is the revised reorder point? If required, round your answer up to the nearest whole number. r = fill in the blank…
- A shoe wholesaler wants to optimize its shipment of shoes to its client retailers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, she / he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He / she has the relevant data showing the temperature recorded at the location of its retail shops, as well as their record of sales of these walking shoes, during each day of the past year. What type of analysis should he / she conduct? What variables should be considered? Explain.One of the more challenging problems confronting the water pollution control field is presentedby the tanning industry. Tannery wastes are chemically complex. They are characterized by highvalues of biochemical oxygen demand, volatile solids, and other pollution measures. A studyconducted by Virginia Polytechnic Institute and State University measured the percent reductionin total solids (x) and percent reduction in chemical oxygen demand (y) of 33 samples ofchemically treated waste.a. Compute the value of Sxx, Syy, Sxy, and r.b. Determine the regression line model/equation.c. Determine the coefficient of determination r 2 Explain the meaning of this quantity in the context ofthis problem.d. Using α = 0.01, test H0 : β1 = 0 vs. H1 : β1 6= 0e. Imagine that the next solid reduction level is at 54%. what would be your best estimate of the oxygendemand reduction?Note: Answer d and e only, manuallyOne of the more challenging problems confronting the water pollution control field is presentedby the tanning industry. Tannery wastes are chemically complex. They are characterized by highvalues of biochemical oxygen demand, volatile solids, and other pollution measures. A studyconducted by Virginia Polytechnic Institute and State University measured the percent reductionin total solids (x) and percent reduction in chemical oxygen demand (y) of 33 samples ofchemically treated waste.a. Compute the value of Sxx, Syy, Sxy, and r.b. Determine the regression line model/equation.c. Determine the coefficient of determination r 2 Explain the meaning of this quantity in the context ofthis problem.d. Using α = 0.01, test H0 : β1 = 0 vs. H1 : β1 6= 0e. Imagine that the next solid reduction level is at 54%. what would be your best estimate of the oxygendemand reduction?
- Texas Instruments produces computer chips in production runs of 1 million at a time. It has found that the fraction of defective modules can be very different in different production runs. These differences are caused by small variations in the set-up of each production run. Managers have observed that defective rates are roughly triangular, with a lower bound of 0%, and an upper bound of 50%. Defects more likely to be near 10% than any other single value in their range. Now suppose that we have taken a sample of 10 modules, and 2 of them are defective. i. What is the conditional probability of a defective rate less than 25% in this production run?ii. For what number M would you say that the defective rate is equally likely to be above or below M?Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood cancers. Suppose the researcher plans to gather a SRS from a group of children in this age range who have received one or more CAT scans, and a SRS from a group of children who have never received a CAT scan and compare the number of cases of childhood cancers that develop over a prolonged period of time. Assume the following table summarizes the descriptive statistics for his samples. Population Average cases of childhood cancers Standard deviaton Sample size >CAT scan 24.6 2.4 1,894 No CAT scans 11.4 1.9 2,745 A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level…Suppose when you add flexibility to your model by adding higher-order terms or more predictor variables that you begin to see the test or validation error (MSE or SSE evaluated on the test or validation set) begin to increase away from the training error. What kind of a problem are your models experiencing?