# Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degrees C. Assume 3 ​% of the thermometers are rejected because they have readings that are too high and another 3 ​% are rejected because they have readings that are too low.  Find the two readings that are cutoff values separating the rejected thermometers from the others.The cutoff values are       degrees.

Question

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degrees C. Assume 3 ​% of the thermometers are rejected because they have readings that are too high and another 3 ​% are rejected because they have readings that are too low.  Find the two readings that are cutoff values separating the rejected thermometers from the others.

The cutoff values are       degrees.

Step 1

Given the readings of thermometer are normally distributed with mean 0 degrees and standard deviation 1 degrees C.

Top 3% of readings and bottom 3% of readings are rejected because they are too high and too low respectively.

With reference to following Z table the Z score with probability t...

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