Type your solution in the answer box and be sure to answer a…

Type your solution in the answer box and be sure to answer all parts of the question. A manufacturer of automotive transmission parking pawls undertook a Six Sigma project to improve the quality of the pin diameter. The range for the pin diameter is 6.1 to 6.2 mm, and the measurements are taken with an inside-hole caliper. The project team conducted a gauge R&R study, and the ANOVA gave the following estimates: σRPT = 2.76 σRPD = 0.59 σPART = 26.6 26.75   Estimate σMS. Estimate % R&R. Based on % R&R, is this measurement system acceptable for use? Explain your decision.

Based on class lectures, materials, and readings, Describe…

Based on class lectures, materials, and readings, Describe the holistic approach to integrating Lean and Six Sigma as proposed by Snee & Hoerl.  State either one advantage or one disadvantage to adopting a holistic improvement system. Explain your choice for (b).

The response time of a distributed computer system is an imp…

The response time of a distributed computer system is an important quality characteristic. The system manager wants to know whether the mean response time to a specific type of command exceeds 75 milliseconds. From experience, she knows that the response time is approximately normally distributed, with a standard deviation of 8 milliseconds. The command is executed 25 times and the response times are recorded (n = 25). Which statistical test should be used to determine whether the mean response time is greater than the historical value of 75 millisec?

Two catalysts are being analyzed to determine how they affec…

Two catalysts are being analyzed to determine how they affect the mean yield of a chemical process. Catalyst 1 is currently used, but catalyst 2 is acceptable.  Since catalyst 2 is cheaper, it should be adopted, providing it does not change the process yield.  An experiment is run in the pilot plant, and 8 batches are made with each catalyst.  Assume that yield is approximately normally distributed and that yield variance is known for each catalyst. Which statistical test should be used to determine whether the mean process yield of catalyst 2 is the same as catalyst 1?

An automobile manufacturer must decide whether to purchase B…

An automobile manufacturer must decide whether to purchase Brand F or Brand M tires for a new car model. To help arrive at a decision, an experiment was conducted using twelve tires of each brand (nF = nM = 12). The tires were tested until tread depth reached 2/32 inches. The average and standard deviation of tire life (in miles) was calculated for both samples. Assume that tire life is approximately normally distributed. Which statistical test should be used to determine whether the two brands have the same variability in tire life?

A project team is tasked with improving the performance of t…

A project team is tasked with improving the performance of the local hockey team.  A literature search returned an article which considered the use of electromyostimulation as a method to train healthy skeletal muscles.  Seventeen players were involved in the study, and the sample standard deviation of performance time during the study was 0.09 seconds. Assume that performance time is approximately normally distributed. Which statistical test should be used to determine whether the standard deviation of performance time is less than the historical value of 0.75 seconds?