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Each sweat shop worker at a computer factory can put together 4.5 computers per hour on...

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Statistics

Each sweat shop worker at a computer factory can put together4.5 computers per hour on average with a standard deviation of 0.8computers. 8 workers are randomly selected to work the next shiftat the factory. Round all answers to 4 decimal places wherepossible and assume a normal distribution.

  1. What is the distribution of XX? XX ~ N(,)
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  3. What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
  4. If one randomly selected worker is observed, find theprobability that this worker will put together between 4.6 and 4.7computers per hour.
  5. For the 8 workers, find the probability that their averagenumber of computers put together per hour is between 4.6 and4.7.
  6. Find the probability that a 8 person shift will put togetherbetween 33.6 and 36.8 computers per hour.
  7. For part e) and f), is the assumption of normal necessary?YesNo
  8. A sticker that says \"Great Dedication\" will be given to thegroups of 8 workers who have the top 15% productivity. What is theleast total number of computers produced by a group that receives asticker? minutes (round to the nearest computer)

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