SOLUTION: Management at Gordon Electronics is considering adopting a bonus system to increase production. One suggestion is to pay a bonus on the highest 5% of production based on past exper

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Question 1150921: Management at Gordon Electronics is considering adopting a bonus system to increase production. One suggestion is to pay a bonus on the highest 5% of production based on past experience. Past records indicate weekly production follows the normal distribution. The mean of the distribution is 4,000 units per week and the standard deviation is 60 units per week. If the bonus is paid on the upper 5% of production, the bonus will be paid on how many units or more?
Answer by MathLover1(20849) About Me  (Show Source):
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The mean of this distribution is 4000 units per week and the standard deviation is 60 units per week.
If the bonus is paid on the upper 5% of production, the bonus will be paid on how many units or more?
Find the z value with a right tail of 5%:
invNorm%280.95%29+=+1.645

Find the corresponding bonus value:
b+=+1.645%2A60%2B4000+=+4098.69