Assume that the reading on the thermometers are normally distributed with a mean

Question

Assume that the reading on the thermometers are normally distributed with a mean of 0 degree and standard deviation of 1.00 degree C. Assume 3.1% of the thermometers are rejected because they have readings that are the high and another 3.1% 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

Clearly graph (d) represents the region for which the thermometers are rejected. (Ans).

The area in the lower tail represents the small values for which the thermometers are rejected and the area in the upper tail represents the high values for which the thermometers are rejected.

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