Assignment for Statistical Process Control December 12, 2012 1. A plant which produces brake rotors normally has a 2 percent defective rate. If an inspector inspects 220 pieces during a 7 hour shift what is his probability of finding 4 defective parts?2. Using a standard deck of cards what is the probability of drawing 3 consecutive 10’s with no replacement?3. Ten resistors are randomly taken from a large population. Their resistance measures 43, 46, 41, 42, 45, 47, 44, 45, 44, and 43 ohms. It has been proven from extensive testing that the standard deviation of the population is 1.95. What percentage of the total population would you expect to have a measurement greater than 47 ohms?4. The following shaft measurements were taken during a 4 hour period. The target size was 0.875 ± 0.006. the measurements are as follows:.8750 .8738 .8762.8779 .8805 .8695.8690 .8795 .8772.8768 .8738 .8796.8708 .8753 .8764.8779 .8713 .8751For the shaft measurements calculate the mean, median, range, sample variance and the standard deviation. Determine the plus and minus three standard deviation spread. Construct a histogram and analyze the location, spread, and shape.5. We have been hired to help an eyeglass company determine how many sets of eyeglasses leave their facility defective. They only assemble the components and only manufacture the lenses. For one set of glasses they require 2 lenses, 2 arms, 2 screws and one frame. There suppliers have supplied them with the following defective percentages: a frame 1.5 %, an arm 2.0 % and a screw 0.5 %. They know from internal quality control checks that each eye lens has a 0.1% defective percentage. What percentage of the assembled glasses that leaves the factory is defective? 6. Table Final-Data-2012 shows measurements of sheet metal thicknesses measured automatically by a laser in 6 different locations on each sheet. The size specification of the metal sheets is 0.2483 to 0.2517 inches.??Create a control...
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