The Precision Scientific Instrument Company manufactures thermometers that are s

Question

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of o°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 o°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. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. OA. OB. -1.63? -1.48? C. OD. -1.75?

Explanation / Answer

Solution :

=> Option D. -1.75 degrees

Given that mean ? = 0 , standard deviation ? = 1.00

=> to find the Zvalue with a left tail of 4%, p = 0.04 then Z = -1.75

=> X = ? + Z*?

= 0 + (-1.75)*1

= -1.75

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