Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00d
egrees°C. Assume 2.72.7% of the thermometers are rejected because they have readings that are too high and another 2.72.7% 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.
1 answer:
Answer:
The diagram is attached below.
Step-by-step explanation:
A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.
So, the readings on the thermometers (denoted by <em>Z</em>) follows N (0, 1).
It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.
This implies that:
The value of <em>z</em> associated to both these probabilities are:
<em>z</em> = 1.93.
That is,
*Use a <em>z</em>-table.
The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.
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