# It is difficult and time consuming to measure directly the ## Problem 25 Chapter 9

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

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Problem 25

It is difficult and time consuming to measure directly the amount of protein in a liver sample. As a result, medical laboratories often make use of the fact that the amount of protein is related to the amount of light that would be absorbed by the sample. As a result, a spectrometer that emits light is shined on a solution that contains the liver sample and the amount of light absorbed is then used to estimate the amount of protein. The above procedure was tried on five samples having known amounts of protein, with the following data resulting. Light Absorbed Amount of Protein (mg) .44 2 .82 16 1.20 30 1.61 46 1.83 55 (a) Determine the coefficient of determination. (b) Does this appear to be a reasonable way of estimating the amount of protein in a liver sample? (c) What is the estimate of the amount of protein when the light absorbed is 1.5? (d) Determine a prediction interval, in which we can have 90 percent confidence, for the quantity in part (c).

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##### ISBN: 9780123948113

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It is difficult and time consuming to measure directly the

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