Question

In: Statistics and Probability

Assume that the readings at freezing on a batch of thermometers are normally distributed with a...

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 P45, the 45-percentile. This is the temperature reading separating the bottom 45% from the top 55%.

P45 = °C




Solutions

Expert Solution

Since the thermometer reading is normally distributed hence it follows Z statistic for percentile value calculator. Hence, at 45 percentile the Z value is Z = -0.126, so by Z formula

The temperature reading separating the bottom 45% from the top 55%.

P45 = -0.126 °C

Z value table


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