Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P99, the 99-percentile. This is the temperature reading separating the bottom 99% from the top 1%.
Answer:
Given that:
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.
mean() = 0
Standard deviation = 1
The z-distribution of bottom 99% is %
Using z-score formula
Temperature reading = of percentile.
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