7.96 An insulated piston/cylinder contains 0.1 m³ air at 250 kPa, 300 K and it maintains constant pressure. More air flows in through a valve from a line at 300 kPa, 400 K, so the volume increases 60%. Use constant specific heats to solve for the final temper- ature and the total entropy generation.

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. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?

Sam’s Long Life 75-watt light bulbs are designed tohave a life of 1125 hours with tolerances of 210 hours.The process that makes light bulbs has a mean of 1050hours, with a standard deviation of 55 hours. Computethe process capability ratio and the process capabilityindex, and comment on the overall capability of theprocess.

Design specifications require that a key dimensions on a product measures 346=12 units . A process is being considered for producing this product has a standard deviation of eight units. The process average has been shifted to 350 so that the process capability is 0.3333. Approximately, what percentage of items produced will be defective?

Design specifications require that a key dimension on a product measure 100kg plus and minus 3kg. If the value of the quality exceeds the target by the tolerance of 3kg on either side, the product will be likely to fail during the warranty period and cost $480 for repair. A process being considered for producing this product has a standard deviation of 1.5kg A) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable? B) What is the average loss per unit after the shift as in (part a)? Use Taguchi loss function for multi products case

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 specifications for a gasket that installs between two engine parts calls for a thickness of 6.0 mm ± .2 mm. The standard deviation of the process is estimated to be 0.05 mm. The process is known to operate at a mean thickness of 6.1 mm   What are the upper and lower specification limits for the gasket? What are the Cp and Cpk values for this process? Is this process capable of producing the desired part?

A process has a defective rate in DPMO of 2856; what is its sigma rating? Round your answer to TWO places of decimal.

A process generating attribute data has an estimated sigma capability = 3.3. Assuming the process mean is shifted +/- 1.5 sigma from the target value, what is the estimated dpmo? Estimated dpmo = ____.

Design specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications.  Note: Round your answer to 4 decimal places.   Suppose the process average shifts to 92. Calculate the new process capability. Note: Round your answer to 4 decimal places.   What is the probability of defective output after the process shift? Note: Use Excel's NORM.S.DIST function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.