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Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.7 computers. 12
Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.7 computers. 12 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.
- What is the distribution of ? ~ N(,)
- What is the distribution of ? ~ N(,)
- What is the distribution of ? ~ N(,)
- If one randomly selected worker is observed, find the probability that this worker will put together between 4.3 and 4.6 computers per hour.
- For the 12 workers, find the probability that their average number of computers put together per hour is between 4.3 and 4.6.
- Find the probability that a 12 person shift will put together between 54 and 56.4 computers per hour.
- For part e) and f), is the assumption of normal necessary? NoYes
- A sticker that says "Great Dedication" will be given to the groups of 12 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)
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