The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at

the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some
give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive
numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the
frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and
tested. Find the temperature reading corresponding to the given information.
4) Find P40, the 40th percentile.

1 answer

The temperature reading corresponding to the given information is -0.67°C. P40 is the 40th percentile, which is the temperature reading that corresponds to the 40th percentile of the normal distribution. This value is -0.67°C.