what is the process capability index
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Pepsi makes bottles that need to be between 30 and 32 oz. You do measurements, and you find that a
Specifically, the mean of the process is 30.5 oz, and the process standard deviation is 0.02 oz. If Pepsi wants to be within the tolerances 99.7% of the time, what is the process capability index? Round your answer to the nearest 2nd decimal point. For example, if your answer is 0.4435, enter 0.44 into the box.
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- 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 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 director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for less than 368 minutes. For a sample of 78 patients, the mean time the drug stayed in the system was 363 minutes. Assume the variance is known to be 529. State the null and alternative hypotheses for the above scenario.
- In each of the following situations, indicate whether a fixed (F), sequential (S), or discovery (D) attributes sampling plan is being used. The audit team has determined the tolerable rate of deviation to be 5%, the risk of overreliance to be 10%, and the expected population deviation rate to be zero. The audit team is performing a sampling application to evaluate the operating effectiveness of an entity’s internal controls. The application used could provide a more efficient method of examination, but it is important that the audit team evaluate the sample in the order they were selected. The audit team established the risk of overreliance to be 5%, the tolerable rate of deviation to be 4%, and the expected population deviation rate to be 3%. Using the AICPA Sample Size tables, the audit team decided to sample over 1,000 items. Using the AICPA Sample Size tables, the audit team determined the appropriate sample size and selected the sample items. However,…Suppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?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 Cpk
- Please do not give solution in image formate thanku. The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? Determine whether this process meet 3-sigma requirements, 6-sigma requirements, or doesn’t meet any requirements.The mean processing time (x¯) of a job on a machine is 11 minutes with a standard deviation (σ)of 0.23 minutes. Upper specification limit (USL) is 11.5 minutes, whereas lower specification limit (LSL) is 10.5 minutes. What is the process capability ratio (cp) for this process? Is the process capable? Cp=1, not capable Cp=1.5, capable Cp=0.72, capable Cp=1, capable Cp=0.72, not capableWhich 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.
- A single sampling inspection scheme for large lot of mass-produced flanges states:From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection.a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p.b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plotthe operating characteristics and average outgoing quality curve.c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for pof 5%.Since each process capability index relies on the estimate of process standard deviation, which in turns relies on sampling, therefore which following statement is INCORRECT? a. Confidence interval of each capability index should be found, instead of computing only a point estimate. b. Each process capability index follows some distribution. c. Each process capability index is a random variable. d. The distribution of Cpk is approximately normal. e. none of the aboveYi 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 tire
