1. The specifications from the manufacturer of a particular type of metal coating call from temperature of the drying oven to be 370 F. The company that is considering using this coat has run tests by taking a large number of temperature readings from various parts of its oven at random times. The standar deviation of the readings about the mean temperature settings was found to be 2.06 F. What is the capability index?
2. The manufacturer of a carbonated drink mix recommend that its drink concentrate be 6+-1 percent of each drink so the drink will have the intended flavor. Manufacturer of drink dispenser is texting its mixer valves to determine the percentage of concentrate dispensed. What would the standar deviation of the distribution of concentration have to be for the dispensing equipment to meet the recommendations with the capability index of 1.25?
7. Care was taken to operate a metal casting process so that no assignable causes of variation were introduced, and randomly selected castings were weighed. The target weight of the casting was 28pounds. The following weights came from 30 random observations.
28.00 28.04 27.98
28.04 28.01 28.02
28.03 27.94 28.00
28.01 28.01 27.98
27.99 27.98 28.02
27.96 28.00 28.05
27.03 28.02 28.03
27.98 27.99 28.01
28.03 28.03 27.99