Question

QUESTION 18 5 points 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 a bove 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. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the reading that separates the bottom 4% from the others.

Answer 1

Ans: u=oc, o = 10 P ( xx x) = 480 = 0.04 - P(x-4 < x-0) = 0.04-) p/2cX) = 0.04 from standard normal bable P(2<-176) = 0.04 Therefore, reading that separates the bottom 14 do from the others as (x = -).76)