5. Exposure to microbial Products, especially endotoxin, may have an impact on v

Question

5.

Exposure to microbial Products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The folloing are data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes. U: 6.0 3.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0 Fi 3.0 12.0 10.0 8.0 7.0 9.0 4.0 19.0 6.0 7.9 24.0 9.9 1.0 1.0 0.8 (a) Datermine the zample mean for each sampla. (Round your answars to two decimal places.) urban homes farm homes EU/mg How do they compare? O The average endotoxin concentration in urban homes is more than double the average concentration in farm homes. O The average endotoxin concentration is about the sme in both urban and farm homes. The average andotoxin concantration in farm homes is more than double the average concentration in urban 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 is about the same in both urban and farm homes. O The median endotoxin concentration in urban homes is roughly double the median concentration in farm homes. O The median endotoxin concentration in farm hme is roughly double the median concentration in urban homes Why is the median for the urban sample so different from the mean for that somple? ( The mean and median for urban homes are so different because the few large values raise the mean but not the median. O The mean and median for urban homes are so different because the measure different aspects of the distribution. O The mean and median for urban homes are so different because there are fewer observations. (c) Caleulate the trimmed mean for each sample by deleting the smallest and largest observation. (Round your answers to two decimal places.) urb n homes farm homes Eu/mg EU/mg What are the corresponding trimming percantages? (Round your answers to two decimal places.) urb n homes farm homes How do the values of these trimmed means compare to the corresponding means and medians? Urban homes The trimmed mean iseletmean of the entire sample. The trimmed mean is Selecthe median of the entire sample Farm homes: The trimmed mean iseltmean of the entire sample. The trimmed mean is Selecthe median of the entire sample

Explanation / Answer

a)
mean of urban home = 237/11 = 21.5454
mean of farm homes = 613/75 = 8.173333

option A) is correct
b)
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

4   5   5   6   11   17   18   23   33   35   80

So, the median of urban homes is 17 .

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

0.8   1   1   3   4   6   7   7.9   8   9   9.9   10   12   19   24

So, the median of farm homes is 7.9 .

comapre
option B) is correct
median different

option A) is correct

c)
trimmed mean of urban = 17

trimmed mean of farm = 489/65

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