SOLUTION: An employer wants to set a time limit so that 95% of the employees will finish a job on time. Past history has shown that the time required to do the job is normally distributed a

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Question 263212: An employer wants to set a time limit so that 95% of the employees will finish a job on time. Past history has shown that the time required to do the job is normally distributed and has a mean time of 30 minutes with a standard deviation of 8 minutes. How much time should the employer allow employees to finish the job?
Answer by stanbon(75887) About Me  (Show Source):
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An employer wants to set a time limit so that 95% of the employees will finish a job on time. Past history has shown that the time required to do the job is normally distributed and has a mean time of 30 minutes with a standard deviation of 8 minutes. How much time should the employer allow employees to finish the job?
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Find invNorm(0.95) = 1.645
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Find x = zs + u = 1.645*8 + 30 = 43.16 minutes is the cut-off time.
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Cheers,
Stan H.