Big Turkey Burger Farms (BTBF) produces a large turkey burger that is world famous. This burger is known not only for its quality, but also its size and consistency. BTBF produces a turkey burger that on average is 12 ounces (with a standard deviation of 0.10 ounces). Currently, BTBF has been approached by two major restaurant chains: Monarch Burgers and Audrey's. a. Monarch wants a turkey burger that is between 11.77 and 12.23 ounces. i. For this customer, calculate the Cp. ii. Calculate the Cpk value. iii. How well would BTBF's products meet the demands of Monarch Burgers? b. Audrey's, in contrast, wants a turkey burger that is 11.95 ounces on average with a tolerance of ± 0.30 ounces. i. For this customer, calculate the Cp. ii. Calculate the Cpk value. iii. How well would BTBF's products meet the demands of Audrey's?
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- Find Values of n and cHi-Tech Industries manufactures Z-Band radar scanners used to detect speed traps. The printed circuit boards in the scanners are purchased from an outside vendor. The vendor produces the boards to an AQL of 2 percent defectives and is willing to run a 5 percent risk (α) of having lots of this level or fewer defectives rejected. Hi-Tech considers lots of 8 percent ormore defectives (LTPD) unacceptable and wants to ensure that it will accept such poor quality lots no more than 10 percent of the time (β). A large shipment has just been delivered. What values of n and c should be selected to determine the quality of this lot?Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of 10.024 inch. The CNC process that manufactures these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Which of the following statements is true concerning the process capability ratio and process capability index? The process is off center and incapable. The process is centered, but incapable. The process is capable and centered. The process is capable, but off center.Tyler Apiaries sells bees and beekeeping supplies. Bees (including a queen) are shipped in special packages according to weight. The target weight of a package is 16 kg. Historically, Tyler's shipments have weighed on average 16 kg, with a standard deviation of 0.8 kg. The buyer will accept some reasonable variation in weight as long as the variation is within a range of +/-3 kg. What is the process capability ratio?
- Letz Products has two decisions to make, with the second decision dependent on the outcome of the first. The company intends to build a new plant. Letz has the option of conducting its own marketing research survey for which the results will either be positive or negative. The information from this survey could help it decide whether to build a large plant, to build a small plant, or not to build at all. Letz recognizes that although such a survey will not provide it with perfect information, it may be extremely helpful. Using figure 1 – explain to your client (Letz) what the above decision tree shows. You are required to show all working.Emenyi Company Limited is considering using Markov analysis to analyze brand switching between three different brands of its Detox medicated soap; Detox White, Detox Green and Detox Orange. The company’s marketing specialist conducted a survey and gathered data which she utilized to estimate the following transition matrix. The matrix shows the probability of moving between brands each month: From White Green OrangeWhite 0.78 0.11 0.11 Green 0.04 0.94 0.02 Orange 0.20 0.04 0.76 The current (month 1) market shares are 50%, 20% and 30% for Detox White, Detox Green and Detox Orange respectively. Required (i) What will be the expected market shares for each of the three brands after two months have elapsed (that is, in month 3)?(ii) What is the long-run prediction for the expected market share for each of the three brands?A machine cuts circular filters from large rolls of material. The diameters of the filters are normally distributed with a mean of 2.00 cm and a standard deviation of 0.02 cm. Specifications call for the filters to have diameters between 1.95 cm and 2.03 cm. What percent of production does not meet specifications
- Flu Shot Dosage A hospital in a developing nation is forced to manually put the flu shot vaccine into syringes. The recommended dosage for the flu shot is 0.5mL. The local health authorities define all syringes that have less than 0.45ml or more than 0.55mL as defective. In a sample of 100 syringes, the hospital’s quality control officer finds the average dosage to be 0.5mL. The standard deviation of the dosage is 0.02 mL and the distribution of the dosages resembles a normal distribution reasonably closely. What is the capability score of the manual filling process?Flu Shot Dosage A hospital in a developing nation is forced to manually put the flu shot vaccine into syringes. The recommended dosage for the flu shot is 0.5mL. The local health authorities define all syringes that have less than 0.45ml or more than 0.55mL as defective. In a sample of 100 syringes, the hospital’s quality control officer finds the average dosage to be 0.5mL. The standard deviation of the dosage is 0.02 mL and the distribution of the dosages resembles a normal distribution reasonably closely. What percentage of the manually filled syringes will be outside the specification limits provided by the local health authorities? (Please answer in decimal form.)Flu Shot Dosage A hospital in a developing nation is forced to manually put the flu shot vaccine into syringes. The recommended dosage for the flu shot is 0.5mL. The local health authorities define all syringes that have less than 0.45ml or more than 0.55mL as defective. In a sample of 100 syringes, the hospital’s quality control officer finds the average dosage to be 0.5mL. The standard deviation of the dosage is 0.02 mL and the distribution of the dosages resembles a normal distribution reasonably closely. A)What is the capability score of the manual filling process? B)What percentage of the manually filled syringes will be outside the specification limits provided by the local health authorities? (Please answer in decimal form.) C)To what level would the hospital have to reduce the standard deviation of the operation if his goal were to obtain a capability score of Cp=4/3 (i.e., get 63 defects per million)?
- Bias is a synonym for Mean Absolute Deviation. True False4. ABC Dog Food Company located in Ottawa sells large bags of dog food to warehouse clubs. ABC uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 50 kilograms and a standard deviation of 1.25 kilograms. (a) What is the probability that a filled bag will weigh less than 49.5 kilograms? (b) What is the probability that a randomly sampled filled bag will weigh between 48.5 and 51 kilograms? (c) What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled? (d) ABC is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that 2% of all filled bags weigh more than 52 kilograms?Elon Corporation manufactures parts for an aircraft com-pany. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has adesign (nominal) target of 1.275 inches with tolerancesof 0.024 inch. The CNC process that manufacturesthese parts has a mean of 1.281 inches and a standarddeviation of 0.008 inch. Compute the process capabilityratio and process capability index, and comment onthe overall capability of the process to meet the designspecifications.