Based on the process capability ratio Cp for the given information, one can say that the process is For the given information Process capability index Cpk = ... Based on the process capability index Cpk for the given information one can say the proces

South Africa Airways would like to monitor its airline’s performance. Each week for the past 20 weeks, they checked each week a random sample of 100 flight arrivals for “one-time” performance. The table that follows contains the number of flights that did not meet South Africa Airways definition of “one time”: Week Late flights 1 2 2 4 3 10 4 4 5 1 6 1 7 13 8 9 9 11 10 0 11 3 12 4 13 2 14 2 15 8 16 2 17 3 18 7 19 3 20 2   Which control chart is appropriate to analyze the above data? Justify your answer

A metal fabricator produces connecting rods with an outer diameter that has a 1± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.005 inches with a standard deviation of 0.003 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places. Process capability index

Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean (u) of 12.00 and a standard deviation (a) of 0.04. Your desired performance is μ = 12.00 +3 standard deviations, where a = 0.045. For the given information, the process capability index (Cpk) - (round your response to three decimal places).

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.

Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail work

Using traditional methods, it takes 101 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 100 students and observed that they had a mean of 102 hours. Assume the variance is known to be 16. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.

Suppose you are analyzing processing times for a machining operation. In your analysis, you found Cp = 2.1 and Cpk = 1.5. Given this information, which of the following sigma levels is the highest that you could claim your process is capable of meeting? 2 sigma 3 sigma 4 sigma 5 sigma 6 sigma

A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension   Sample Air vent opening diameter (in mm             1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61       Determine the central line and control limits for the range and mean charts, and discuss whether or not  the process is in statistical control.

Suppose that you are using a p chart to monitor the percentage of times that you fail to get phone numbers at bars. Each day for 30 days you ask 15 different people for their phone number. On average, 6 people declined to give you their phone number each day. What would be the upper control limit for the p chart?