hospital supervisor found that the medical stuff of the laboratory,...

Question

# hospital supervisor found that the medical stuff of the laboratory,...

hospital supervisor found that the medical stuff of the laboratory, on the average, complete a certain task in 10 minutes. the times required to complete the task are approximately normally distributed with a standard deviation of 3 minutes,

1. What is the proportion of workers that will require more than 9 minutes to complete the task?

2. If the supervisor has a total of 160 workers in his lab and any worker that completes the work in more than 11 minutes will be dismissed what is the total number of workers to be dismissed.

3. If a new machine was inserted which reduces the average time required from the original average by 2 minutes whereas the standard deviation is reduced by 1 minute, what will be the reduction in the proportion of workers that takes 6 minutes to finish the work. (Hint: find the proportion based on the old average and standard deviation then based on the new ones

4. What will be the time that would have the highest 10% above it?

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