Concept explainers
a
Interpretation: Economic tradeoff attendant for choosing a very small value of
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
b
Interpretation: Economic tradeoff attendant for choosing a very small value of
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
c
Interpretation:Economic tradeoff attendant for choosing a large value of
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
d
Interpretation:Economic tradeoff attendant for choosing a small value for sampling interval
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
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Production and Operations Analysis, Seventh Edition
- Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3arrow_forwardYou work for Raider Data Systems where thousands of insurance records are entered by clerks each day for a variety of client firms. You are in charge of setting control limits to include 99.73% of the random variation in the data entry process when it is in control. Samples that you collected from 20 employees are shown below. You carefully examine 100 records entered by each employee and count the number of errors entered by each clerk. You also compute the proportion defective in each sample. Using a p-chart, what are the upper and lower control limits? Sample Errors Made Proportion Defective 1 4 0.04 2 5 0.05 3 6 0.06 4 3 0.03 5 8 0.08arrow_forwardAn airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample not resulting in a satisfactory resolution for the customer is as follows. (a) What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control? 0.04 (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. (Round your answers to four decimal places.) UCL = 0.0988 ✓ X LCL = 0.0188 (c) With the results of part (b), what conclusion should be made if a sample of 100 has 13 calls not resulting in a satisfactory resolution for the customer? Since p = is outside of ✔✔✔ the control…arrow_forward
- 1. An ad agency tracks the complaints, by week received, about the billboards in its city: Week No. of Complaints 1 8 2 4 3 11 4 16 5 8 6 9 This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is c minus chartc−chart . b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc =?complaints per week (round your response to two decimal places). LCLc =?complaints per week (round your response to two decimal places).arrow_forwardA distributor buys Tires from manufacturers. In his store, Phillip Johnson, the supplier quality manager for the distribution company, selects a tire at random which was received in the warehouse the prior day. Small imperfections (minor wears in trade, uneven surfaces, etc) are counted. Recent data show an average of six imperfections (nonconformities) in each sample. Using the formulas for a c chart, calculate the control limits and centerline for this situation. If management wants a process capability of five nonconformities per sample, will this supplier be able to meet that requirement?arrow_forwardA shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5 Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show workarrow_forward
- NauticaB is a company that makes little boats. This company controls its production process by periodically taking a sample of 100 units from the production line. Each product is inspected for defective features. Control limits are developed using three standard deviations from the mean as the limit. During the last 16 samples taken, the proportion of defective items per sample was recorded as follows: .01 .02 .01 .03 .02 .01 .00 .02 .00 .01 .03 .02 .03 02 .01 .00 The supply chain of Nautica has the following information: Supplier Factory Wholesale Retailer Inventory in days* Accounts 30 90 40 20 receivable in days 20 45 30 40 Accounts payable in days Purchasing unit cost Added unit cost Sales unit price On-time 30 45 60 37 $ 5 $10 $20 $20 $25 $55 $55 $10 $70 $ 70 $ 30 $110 delivery (%) 85 95 75 95 * This is also the throughput time in days. Compute the cash-to-cash cycle time for each of the four entities separately. Based on this calculation, who is benefiting the most?arrow_forwardC: Determine the UCL and LCL for a X−�− chart. Note: Round your answers to 3 decimal places. D: Determine the UCL and LCL for R-chart. Note: Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places. E: What comments can you make about the process? multiple choice Process is in statistical control Process is out of statistical controlarrow_forwardThirty patients who check out of the Rock Creek County Regional Hospital each week are asked to complete a ques-tionnaire about hospital service. Since patients do not feel well when they are in the hospital, they typically are very critical of the service. The number of patients who indi-cated dissatisfaction of any kind with the service for each 30-patient sample for a 16-week period is as follows:Construct a control chart to monitor customer satisfactionat the hospital using 3 limits and determine if the processis in control.arrow_forward
- Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? x= 156.76 mm (round your response to two decimal places). b) What is the value of R? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Çarrow_forwardAuto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of X? x= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3arrow_forwardUsing samples of 200 credit card statements, an auditor found the following:Sample 1 2 3 4Number with errors 4 2 5 9a. Determine the fraction defective in each sample.b. If the true fraction defective for this process is unknown, what is your estimate of it?c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?d. What control limits would give an alpha risk of .03 for this process?e. What alpha risk would control limits of .047 and .003 provide?f. Using control limits of .047 and .003, is the process in control?g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What arethe values of the mean and standard deviation of the sampling distribution?h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using twosigma control limits. Is the process in control?arrow_forward
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