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Solution: Exposure to microbial products, especially

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore ISBN: 9780495382171 196

Solution for problem 1.34 Chapter 1

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Problem 1.34

Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The article Dust Sampling Methods for EndotoxinAn Essential, But Underestimated Issue (Indoor Air, 2006: 2027) considered various issues associated with determining endotoxin concentration. The following data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes was kindly supplied by the authors of the cited article. U: 6.0 5.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0 F: 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.0 9.2 3.0 2.0 0.3 a. Determine the sample mean for each sample. How do they compare? b. Determine the sample median for each sample. How do they compare? Why is the median for the urban sample so different from the mean for that sample? c. Calculate the trimmed mean for each sample by deleting the smallest and largest observation. What are the corresponding trimming percentages? How do the values of these trimmed means compare to the corresponding means and medians?

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Statistics​ ​ 41 Week​ ​3 Chapter​ ​3​ ​Part​ ​2 ➪Coefficient​ ​of​ ​Variation​ ​(CV):​ ​measures​ ​the​ ​spread​ ​of​ ​the​ ​data​ ​relative​ ​to​ ​the​ ​mean​ ​of​ ​the​ ​data; measured​ ​as​ a​ ​ ​percentage Standard deviation ÷ mean = CV (multiply​ a ​ nswer​ b​ y​ ​100​ ​​ ake​ ​it​ ​ ercentage) ● A​ ​smaller​ ​CV​ ​indicated​ ​a​ ​higher​ ​consistency,​ ​which​ ​is​ ​usually​ ​better ➪Z-score:​ ​measures​ ​the​ ​number​ ​of​ ​standard​ ​deviations​ ​a​ ​data​ ​value​ ​is​ ​from​ ​the​ ​mean​ ​of​ ​the​ ​data set (Data value − Mean) ÷ Standard deviation = Z − score ● Has​ ​no​ ​units ● If​ ​the​ ​z-score​ ​is​ ​negative​ ​the​ ​data​ ​value​ ​is​ ​below​ ​the​ ​mean ● If​ ​the​ ​z-score​ ​

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Textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online)
Edition: 7
Author: Jay L. Devore
ISBN: 9780495382171

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Solution: Exposure to microbial products, especially