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The Precision Scientific Instrument Company Manufactures Thermometers That Are Supposed 1.46,1.46- 1.46 ^ { \circ } , 1.46 ^ { \circ }

question 51

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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.
-If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.

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Definitions:

Hand Reflexology

A form of therapy that involves applying pressure to specific points on the hands believed to correspond with different parts of the body to promote healing and relieve stress.

Reflexology

An alternative medicine practice involving the application of pressure to specific points on the feet, hands, or ears, based on the belief that these points correspond to different organs and systems in the body.

Corresponding Body Part

A specific region or organ of the body that relates to, or is associated with, a particular function or activity.

Homeopathy

A 200-year-old system of medicine based on the Law of Similars. This means that if a dose of a substance can cause a symptom, that same substance in minuscule amounts can cure the symptom.

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