Finding Temperature Values Finding Temperature Values - In Exercise 18, assume t

Question

Finding Temperature Values

Finding Temperature Values - In Exercise 18, assume that thermometer readings are normally distributed with a mean of 0oC and a standard deviation of 1.00oC. A thermometer is randomly selected and tested, find the temperature reading corresponding to the given information.

18. If 4.0% of the thermometers are rejected because they have readings that are too low and another 4.0% are rejected because they have readings that are too high, find the two readings that are cutoff values separating the rejected thermometers for the others.

Explanation / Answer

ans=

NORMAL DISTRIBUTION, STANDARDIZED VARIABLE z, PROBABILITY "LOOK-UP"
STANDARDIZED VARIABLE: z = (x - µ)/() = (-1.75 - 0)/(1) = -1.75

SAMPLE MEAN: x = -1.75
POPULATION MEAN: µ = 0
POPULATION STANDARD DEVIATION: = 1.00

The Table for Standard Normal Distribution is organized as a cummulative 'area' from the LEFT corresponding to the STANDARDIZED VARIABLE z. The Standard Normal Distribution is also symmetric (called a 'Bell Curve') which means its an interpretive procedure to Look-Up the 'area' from the Table. For STANDARDIZED VARIABLE z = -1.75 the corresponding LEFT 'area' = 0.04. And due to Table's cummulative nature, the corresponding RIGHT 'area' = 1 - 0.04

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