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Exposure to microbial products, especially endotoxin,may
Chapter 1, Problem 34(choose chapter or problem)
Exposure to microbial products, especially endotoxin,may have an impact on vulnerability to allergic diseasesThe article Dust Sampling Methods for EndotoxinAn Essential, But Underestimated Issue (Indoor Air,2006: 2027) considered various issues associated withdetermining endotoxin concentration. The following dataon concentration (EU/mg) in settled dust for one sampleof urban homes and another of farm homes was kindlysupplied 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 23.0F: 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.09.2 3.0 2.0 0.3a. Determine the sample mean for each sample. Howdo they compare?b. Determine the sample median for each sample. Howdo they compare? Why is the median for the urbansample so different from the mean for that sample?c. Calculate the trimmed mean for each sample bydeleting the smallest and largest observation. Whatare the corresponding trimming percentages? Howdo the values of these trimmed means compare to thecorresponding means and medians?
Questions & Answers
QUESTION:
Exposure to microbial products, especially endotoxin,may have an impact on vulnerability to allergic diseasesThe article Dust Sampling Methods for EndotoxinAn Essential, But Underestimated Issue (Indoor Air,2006: 2027) considered various issues associated withdetermining endotoxin concentration. The following dataon concentration (EU/mg) in settled dust for one sampleof urban homes and another of farm homes was kindlysupplied 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 23.0F: 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.09.2 3.0 2.0 0.3a. Determine the sample mean for each sample. Howdo they compare?b. Determine the sample median for each sample. Howdo they compare? Why is the median for the urbansample so different from the mean for that sample?c. Calculate the trimmed mean for each sample bydeleting the smallest and largest observation. Whatare the corresponding trimming percentages? Howdo the values of these trimmed means compare to thecorresponding means and medians?
ANSWER:Step 1 of 5
(a) The sample mean of observations is given by
Therefore sample mean for the first sample is,