Find P96, the 96th percentile.
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0∘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∘0∘C (denoted by negative numbers) and some give readings above 0∘0∘C (denoted by positive numbers). Assume that the mean reading is 0∘0∘C and the standard deviation of the readings is 1.00∘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. Find P96, the 96th percentile.
Find P96, the 96th percentile.