Assume that the readings on the thermometers are normally distributed with a mea

Question

Assume that the readings on the thermometers are normally distributed with a mean of 0 degree and standard deviation of 1.00degree centigrate. Assume 2.9% of the thermometers are rejected because they have readings that are too high and another 2.9% are rejected because they have readings that are too low. Draw a sketch and Find the two readings that are cutoff values separating the rejected thermometers from the others. Which graph represents the region in which thermometers are rejected? Choose the correct graph below.

Explanation / Answer

a)

As too high and too low values are rejected, then the extreme values are rejected.

Hence, we shade the extreme left and right,

OPTION A. [ANSWER, CORRECT GRAPH]

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b)

By table, we see that the extreme 2.9% have cutoff values of

zcrit = -1.90, 1.90 [ANSWER]

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