Question

Each sweat shop worker at a computer factory can put together 4.1 computers per hour on average with a standard deviation of 1 computers. 45 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 X X ? X X ~ N(,)

What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,)

What is the distribution of ∑ x ∑x ? ∑ x ∑x ~ N(,)

If one randomly selected worker is observed, find the probability that this worker will put together between 4 and 4.1 computers per hour.

For the 45 workers, find the probability that their average number of computers put together per hour is between 4 and 4.1.

Find the probability that a 45 person shift will put together between 180 and 184.5 computers per hour.

For part e) and f), is the assumption of normal necessary? YesNo

A sticker that says "Great Dedication" will be given to the groups of 45 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer)

Answer 1