Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00°c. a thermometer is randomly selected and tested. draw a sketch and find the temperature reading corresponding to upper p 84, the 84 th percentile. this is the temperature reading separating the bottom 84 % from the top 16 %. the temperature for p 84 is

The temperature for P 84 is approximately 1ºC.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00°C. This means that and

This is the temperature reading separating the bottom 84 % from the top 16 %.

This temperature is the value of X when Z has a pvalue of 0.84. This happens at .

So

The temperature for P 84 is approximately 1ºC.