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 1.00 degree C. Assume 3% of the thermometers are rejected because they have readings that are too high and another 3% are rejected because they have reading that are too low. Draw a sketch and find the two are rejected readings that are cutoff values separating the rejected thermometers from the others. Which graph represents the region in which thermometers an rejected? Choose the correct graph below. The cutoff values are degrees.

Explanation / Answer

Solution:

The cutoff values are 0.48 degrees.

Explanantion:

P (0.03<Z<0.03 )
= P ( Z0.03 )+P (Z0.03 )
= 0.4880 + 0.4880
= 0.976

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