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Government standards limit the airborne amount of a known cancer causing gas. A company using a...

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Statistics

  1. Government standards limit the airborne amount of a knowncancer causing gas. A company using a known cancer causing gas inits production process limits the exposure of its employees to thegas by shutting down production when the amount of the gas reaches3 ppm with a standard deviation of 0.5 ppm.

  1. (2) If you are the plant manager and you are told managementwants as little down time as possible, would you choose a larger ora smaller value of alpha to test whether the amount of gas isdangerous? Explain.
  2. (2) If you were an employee in the plant, would you want thechoice of alpha to be larger or smaller? Explain.
  3. (5) A random sample of 50 air specimens from various sensors inthe plant produced a mean of 3.1 ppm. Is this sample datasufficient to shut down production? Use alpha = 0.01.
  4. (2) Describe both Type I and Type II errors in the context ofthis problem.
  5. (6) Calculate the probability of Type II error if in fact thetrue mean plant level if 3.1 ppm. Use alpha = 0.01.
  6. (1) What is the value of the Power of the test in thiscase?

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