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In: Statistics and Probability

Each sweat shop worker at a computer factory can put together 4.4 computers per hour on...

Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.8 computers. 11 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible 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 the probability that this worker will put together between 4 and 4.2 computers per hour.
  5. For the 11 workers, find the probability that their average number of computers put together per hour is between 4 and 4.2.
  6. Find the probability that a 11 person shift will put together between 45.1 and 47.3 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 the groups of 11 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer)

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orchestra answered 2 years ago
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