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Pupil
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posted by  wskr0313@hotmail.c on 10/18/2009 5:03:29 PM  |  status: Closed  |  Earned Karma: 57

Help pleaseee, lifesaver

Course Textbook Chapter Problem Needs by
Statistics and Probability Elementary Statistics (10th) by Triola N/A N/A 10/19/2009 at 7:00:00 PM
Question Details:
Assume that a thermometer’s readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

If 0.5% of the thermometers are rejected because they have readings that are too low and another 0.5% are rejected because they have readings that are too high, find the two readings that are cutoff values separating the rejected thermometers from the others.

 I know what the answer is but I would like help with the steps so I can know how to get this

−2.575, 2.575. (Here and henceforth, tables may give slightly less accurate answers than “technology”. In this problem, the tech answers are −2.576, 2.576.)

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Oracle
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posted by Jonpp on 10/18/2009 6:20:54 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
μ=0, σ=1

P(X>c)=0.005-->P((X-μ)/σ >(c-0)/1)=P(Z>c)=0.005 (check normal table)
find c=2.576

P(X<c)=0.005-->P(Z<c)=0.05 (check normal table)
find c=-2.576
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