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.
-Find P96, the 96th percentile.
A)1.03°
B)-1.38°
C)1.82°
D)1.75°

Question

Quizplus · Accepted Answer

The 96th percentile in a normal distribution corresponds to a Z-score of approximately 1.75. This means that 96% of the thermometers give readings below 1.75°C above the mean (0°C), making 1.75°C the correct answer.

The Precision Scientific Instrument Company Manufactures Thermometers That Are Supposed