just need #6 please

Case Part A: Tesla's Quality Challenge When Tesla announced the release of its new Model 3 electric car, over 276,000 people from around the world put down $1,000 reservations for the cat within three days. The innovative new car is a follow up to the mach more expensive Model S and Model X cars Tesla, led by Elon Musk, the brilliant CEO of the conpany, now sells over 500,000 cars a ycar. The company will soon introduce the Cybertruck, another innovative product. The fedgling Palo Alto, California, automaker has strogeled with ramping up manufacturing when new vehicles are introduced Consider the problems that Tesla had with the Model X wort utility vehicle when it was introduced. The company reported that there were many sourcing changes made late in the process of planaing production. Teila tends to make items, such as the middle seats in the Model X inhouse rather than outsourcing them. which is done by many car mamufucturers. The issues associated with the production of the cars are a complex combination of mechanical and computer sottware problems. Popular features of the cans include drivingassist autopilot fanctions, autoparallel parking, and autobraking. The cars even have an autosammons. feature that lets a driver nark and retrieve their car with no one inside. Many postproduction issues have been addressed through software updates downloaded to customers over wireless conneetions. OTher mechanical problems are more ditticult to resolve. Owners have complained that the Model X falcon-wing doors will not open. When owners have probleats like this, Tesla typically whedules a time to pick up the car for repair and leaves a loaner for use by the customer. Another recent issue was a latch on the thirdrow seat that could come undone during a collision. Tesla deckled to recall 2,700ModelX cars to replace the latches with a new design. This recall totally overloaded Tesla's service catlets with waits of more thun two weeks to make the repair. Some customers were offered rental cars due to the long wait. So far, customers expect the "whiteglove" treatment that Tesla curtently offers, but a big concern is what Tesla will do when there are millions of vehicles on the road. Mr. Musk's Tesla cars have many loyal custonsers, even though problems have been encountered. But mosing from luandreds of thousands of vehicles to millions may be dificult, unless some major service improvenents are made. As part of the process for improving the quality of their cars, engineers have identified a potential improvement to the process that makes a washer that is used in the accelerator assembly. The tolerances on the thickness of the washer are fairly large since the fit can be loose, but if it does happen to get too large, it can cause the accelerator to bind and create a potential problem for the driver. (Note: This part of the case has been fabricated for teaching purposes.) Let's assume that as a first step to improving the process, a sample of 40 washers coming from the machine that produces the washers was taken and the thickness measured in millimeters. The following table has the measurements from the sample: 1.92.01.91.82.21.72.01.91.71.8 1.82.22.12.21.91.82.11.61.81.6 2.12.42.22.12.12.01.81.71.91.9 2.12.02.41.72.22.01.62.02.12.2 Questions 1. If the specification is such that no washer should be greater than 2.4 millimeters, assuming that the thicknesses are distributed normally. what fraction of the output is expected to be greater than this thickness? 2. If there are upper and lower specifications, where the upper thickness timit is 2.4 and the lower thickness limit is 1.4, what fraction of the output is expected to be out of tolerance? 3. What is the Cpk for the process? 4. What would be the Cpk for the process if it were centered between the specification limits (assume the process standard deviation is the same)? 5. What pereentage of output would be expected to be out of tolerance if the process were centered? 6. Set up X and range control charts for the current process. Assume the operators will take samples of 10 washers at a time. 7. Plot the data on your control charts. Does the current process appear to be in control