Q2 _F01_130D

Q2_F01_130D - Department of Chemical Engineering University of California Santa Barbara Ch.E 130D Fall 2001 Quiz 2 1(25 points In order for

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Department of Chemical Engineering University of California, Santa Barbara Ch.E. 130D Fall, 2001 Quiz 2 1. (25 points) In order for wastewater from a chrome plating process to meet environmental regulations, it must be neutralized. The pH values for five samples of neutralized wastewater are: 6.3, 7.6, 6.5, 7.4, and 7.7. It can be assumed that the standard deviation of each pH measurement is σ = 0.1. Based on this data, is there statistically significant evidence that the average pH value is 7, as desired? Justify your answer. 2. (25 points) The ozone level, x, on a plant site is measured using three different sensors. It is proposed that a linear combination of the three measurements, x 1 , x 2 and x 3 , be used to estimate x: 123 ˆ x ax bx cx =+ + (1) a. (10 points) If each individual sensor provides an unbiased estimate of x, what restrictions must be placed on constants a, b, and c in order for Eq. (1) to provide an unbiased estimate? b. (15 points) Suppose that the three sensors have variances denoted by σ 1 2 , σ 2 2 , and σ 3 2 .
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This note was uploaded on 12/29/2011 for the course CHE 132C taught by Professor Peters during the Fall '11 term at UCSB.

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Q2_F01_130D - Department of Chemical Engineering University of California Santa Barbara Ch.E 130D Fall 2001 Quiz 2 1(25 points In order for

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