Assume that the readings on the thermometers are normally distributed with a mean of 0 c and a standard deviation of 1 c. a thermometer is randomly selected and tested. if 1.7% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.

-2.12°C

Step-by-step explanation:

Let x denotes the reading of the thermometers .

We assume that the readings on the thermometers are normally distributed.

Let a be the reading that separates the rejected thermometers from the others.

Given: Population mean :

Standard deviation:

Also,

By using the z-table , the z-value corresponds to the p-value (one -tailed)0.017 is .

Now,

i.e.

i.e.

For left tailed ,

It means the reading that separates the rejected thermometers from the others = -2.12°C.

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