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In: Statistics and Probability

1a.Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The...

1a.Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The following are data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes.

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 13.0 11.0 7.0 8.0 9.0 2.0 18.0 4.0 8.9 23.0 9.5 4.0 3.0 0.5

(a) Determine the sample mean for each sample. (Round your answers to two decimal places.)
urban homes EU/mg
farm homes EU/mg


(b) Determine the sample median for each sample.
urban homes EU/mg
farm homes EU/mg

c) Calculate the trimmed mean for each sample by deleting the smallest and largest observation. (Round your answers to two decimal places.)
urban homes EU/mg
farm homes EU/mg

What are the corresponding trimming percentages? (Round your answers to two decimal places.)
urban homes %
farm homes %


2b. Fire load (MJ/m2) is the heat energy that could be released per square meter of floor area by combustion of contents and the structure itself. The following cumulative percentages are for fire loads in a sample of 388 rooms:
Value 0 150 300 450 600 750 900
Cumulative % 0 19.0 37.3 62.0 76.8 86.5 93.4
Value 1050 1200 1350 1500 1650 1800 1950
Cumulative % 94.9 97.4 98.0 99.5 99.6 99.8 100.0


(b) What proportion of fire loads are less than 600? At least 1200? (Round your answers to three decimal places.)
less than 600
at least 1200

(c) What proportion of the loads are between 600 and 1200? (Round your answer to three decimal places.)


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orchestra answered 2 years ago
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