MKS Inc., produces meter sticks that have a target length of 100 centimeters with upper and lower specification limits of 100.05 and 99.95 centimeters respectively. They are considering the purchase of a new machine that can hold a process output average exactly to target with a standard deviation of 0.02. Which would their process capability index be if they splurged and purchased the new machine? A. 1.78 B. 1.26 C. 0.44 OD. 0.83 In acceptance sampling, what is the possible next action when the random sample fails the buyer's incoming test (too many defects found)? OA. Subject the entire lot to insepction. B. Place the lot on hold and wait for additional lots from this seller to be tested to assure good quality. C. Accept only a certain percentage of the lot. D. Perform additional testing to reduce the risk of accepting a lot with poor quality. Five samples of size 4 were taken from a process. A range chart was developed that had LCLR = 0 and UCLR = 2.50. Similarly, an average chart was developed with the average range from the five samples, with LCLX = 15.0 and UCL* = 24.0. The ranges for each of the five samples were 1.75, 2.42, 2.75, 2.04, and 2.80, respectively. The values of the sample average for each sample were 19.5, 22.3, 17.4, 20.1, and 18.9, respectively. What can you tell management from this analysis? A. The process variability is out of control, but the process average is in control. OB. The process variability and the process average are out of control. C. The process variability is out of control, and we cannot make a statement about the process average. D. We cannot tell if the process variability or the process average is out of control. Factor for UCL and LCL for Size of x-bar-Charts Sample Factors for Calculating Three-Sigma Limits for the x Chart and R-Chart Factor for LCL for R-Charts Factor for UCL for R-Charts (n) An D3 D 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 10 0.337 0.308 0.184 1.816 0.223 1.777 Source: 1950 ASTM Manual on Quality Control of Materials, copyright American Society for Testing Materials. Reprinted with permission. Unit # Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 1 73.5 70.8 72.2 73.6 71.0 2 71.3 71.0 73.1 72.7 72.2 3 70.0 72.6 71.9 72.4 73.3 4 71.1 70.6 70.3 74.2 73.6 5 70.8 70.7 70.7 73.5 71.1 Avg. 71.34 71.14 Range 3.50 2.00 71.64 2.80 73.28 1.80 72.24 2.60 Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Calculate control limits for a chart that will monitor performance to target. The correct control limits as (LCL, UCL) are OA. (70.46, 73.39). B. (69.71, 74.14). C. (69.80, 74.05). D. (68.94, 74.89). Historically, the average proportion of defective bars has been 0.015. Samples will be of 100 bars each. Construct a p-chart using z = 3. What is the value of UCL? O A. Less than or equal to 0.050 O O O O B. Greater than 0.060 but less than or equal to 0.070 C. Greater than 0.070 D. Greater than 0.050 but less than or equal to 0.060 A hotel tracks the number of complaints per month. When the process is in control, there is an average of 35 complaints per month. Assume that a 2-sigma control limit is used. What is the lower control limit? O A. More than 20 but less than or equal to 25 B. More than 15 but less than or equal to 20 C. More than 25 OD. Less than or equal to 15