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

ID: 3150960 • Letter: E

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. Determine the sample mean for each sample. (Round your answers to two decimal places.) How do they compare? 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? Calculate the trimmed mean for each sample by deleting the smallest and largest observation. (Round your answers to two decimal places.) What are the corresponding trimming percentages? (Round your answers to two decimal places.) How do the values of these trimmed means compare to the corresponding means and medians?

Explanation / Answer

a)Urban homes->31.55

Farm Homes->8.33

The Average in Urban is more than the double that in Farm House

b)Median->Urban=17

Median ->Farm=8

The median of Urban is roughly double that of Farm House

The Mean and median are different because the large values raise the mean but not the median.

c)Trimmed Urban Mean->17

Trimmed Farm Mean->7.75

Trimmed Urban %->2/11 =18.18%

Trimmed Farm %->13.33%

Trimmed Urban Mean is less than the Mean of the entire sample and the Trimmed urban mean is equal to the median of the entire sample

Trimmed Farm mean is less than the Mean of the entire sample and the Trimmed farm mean is less than the median of the entire sample

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