What is the CPK?
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A manufacturing facility analyzes a lot-sample of 100 units out of a shipment of 10,000. The demodulator
frequency is supposed to be within 53.5 and 54.5 MHz. The mean is 54.25 MHz with a standard deviation of
0.04 MHz. What is the CPK?
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- A manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.The 3-sigma limits for a process whose distribution conforms to the normal distribution includes _______ of the observed values, in the long run. Part 2 A. 99.74% B. 95.44% C. 68.26% D. 50%From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? The USL and LSL will be separated by a distance of six sigma The process center will be aligned with the LSL The number of defects produced by the process will be 0.0018 parts per million All of the above
- Yi is fixing up his road bike to prepare for a triathlon. He looks at his tires and wonders how much he should inflate them. Which of the following variables is an outcomevariable?a. The outside temperatureb. The rolling resistancec. The number of times he presses the pumpd. The size of the tireA metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 399 minutes. For a sample of 81 patients, the mean time the drug stayed in the system was 401 minutes. Assume the standard deviation is known to be 21. Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
- A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.Assume the following: A quality manager at a popular restaurant in a New York has accurately measured the Cp & Cpk values associated with the delivery times of the food delivered by her restaurant. He has measured these values over an acceptable time period. The measured values are such that: Cp > 1, and Cpk < 1. Then: a. The process is both cappable and centered between the specification limits. b. The process is neither cappable nor centered between the specification limits. c. The process is cappable but not centered between the specification limits. d. The process is not cappable but centered between the specification limits.From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a The USL and LSL will be separated by a distance of six sigma b The process center will be aligned with the LSL c The number of defects produced by the process will be 0.0018 parts per million d All of the above
- A process has a mean of 9.20 grams and a standard deviation of .30 gram. The lower specification limit is 7.50 grams and the upper specification limit is 10.50 grams. Compute CpkWhich of the following statements is NOT true about the process capability ratio? a. The process capability ratio is a ratio for determining whether a process meets design specifications. b. The process capability ratio is computed as the difference of the upper and lower specification limits divided by six standard deviations. c. The process capability ratio is a ratio of the specification to the process variation. d. A capable process has a process capability ratio less than one.C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?