Assume that the readings on the thermometers are normally idistributed with a mean of 0◦ and a standard deviation of 1.00◦c. find p25, the 25th percentile. this is the temperature reading separating the bottom 25 % from the top 75 %

This temperature reading is -0.675ºC.

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◦ and a standard deviation of 1.00◦C. This means that

Find P25, the 25th percentile.

This is the value of X when Z has a pvalue of 0.25. So we use , since this happens between and .

This temperature reading is -0.675ºC.

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step-by-step explanation:

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