The Precision Scientific Instrument Company Manufactures Thermometers That Are Supposed $- 0.25 ^ { \circ }$

question 80

Multiple Choice

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 P₄₀, the 40th percentile.

• A) \(- 0.25 ^ { \circ }\)
• B) \(- 0.57 ^ { \circ }\)
• C) \(0.57 ^ { \circ }\)
• D) \(0.25 ^ { \circ }\)

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Definitions:

Area

In geometry, the measurement of the extent of a two-dimensional surface or shape, expressed in square units.

P(Z < 3.00)

A statistical expression indicating the probability of a standard normal variable being less than 3.00.

P(Z > 1.9)

The probability that a standard normal random variable Z exceeds the value of 1.9, commonly used in statistical analysis to find tail probabilities.

Mean

The average of a set of numbers, calculated by dividing the sum of the values by their count.