Asked by Anonymous

Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 8% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.

Answers

Answered by MathMate
Draw a sketch of what you want, similar to this:
http://prntscr.com/8kitsp

THen look up the standard normal distribution table (left tail) the number of standard deviations that correspond to 92%. (it should be between 1.4 and 1.5).
Since each standard deviation corresponds to 1°, so you can figure out the cut-off temperature.
Answered by Steve
or, you can play around with Z values and areas at

http://davidmlane.com/hyperstat/z_table.html
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