Exposure to microbial products, especially endotoxin, may have an impact on vuln

Question

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 1.0 5.0 80.0 18.0 35.0 17.0 23.0 F: 2.0 12.0 12.0 6.0 8.0 .0 2.0 17.0 5.0 9.2 23.0 8.2 5.0 2.0 0.1 (a) Determine the sample mean for each sample. (Round your answers to two decimal places.) urban homes farm homes EU/mg EU/mg How do they compare? The average endatoxin concentration in urban homes is more than double the average concentration in farm homes. The average endotoxin concentration in farm homes is more than double the average concentration in urban homes. The average endotoxin concentration is about the same in both urban and farm homes. (b) Determine the sample median for each sample. urban homes farm homes EU/mg EU/mg How do they compare? O The median endotoxin concentration in farm homes is roughly double the median concentration in urban homes. O The median endotoxin concentration in urban homes is roughly double the median concentration in farm homes. The median endotoxin concentration is about the same in both urban and farm homes. Why is the median for the urban sample so different from the mean for that sample? The mean and median for urban homes are so different because the few large values raise the mean but not the median. The mean and median for urban homes are so differant because the measure different aspects of the distribution. The mean and median for urban homes are so different because there are fewer observations, (c) Calculate the trimmed mean for each sample by deleting the smallest and largest observation. (Round your answers to two decimal places.) urban homes farm homes EU/mg EU/mg What are the corresponding trimming percentages (Round your answers to two decimal places.) urban homes farm homes

Explanation / Answer

a)
Urban Homes = 23.20 EU/mg
Farm Homes = 8.03 EU/mg

The average endotoxin concentration in urban homes is more than double the average concentration of farm homes

b)
Urban Homes = 17.5 EU/mg
Farm Homes = 8 EU/mg

Option B: urban homes is double the farm homes

Option A: because of few large values mean got increased but not the median

c)
Urban Homes = 18.50
Farm Homes = 7.49

Trimming percentages
urban homes = 2/10 = 20%
Farm homes = 2/15 = 13.33%

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