Exposure to microblal products, enpecialy endotoxin, may have an impact on vuine

Question

Exposure to microblal products, enpecialy endotoxin, may have an impact on vuinerability to alergie diseases. The following are dats on concenerastion ing)itted dust tor P 5.0 12.0 11.0 0 9.0 7.0 3.0 39.0 a.s 230 84 20 20 (a) Determine the sample mean for each sample. (Round your answers to twe decimal places urban homes ferm homes Eumg O The average endatoxie concentration in farm homes is more than double the average conction uban homes (b) Denermine the sample median for each sample urban homes eumg How de they compane medan conceneraetion in farm dfferent from the mean for that sample Why is the median for the urban sample so measure diferent se different because thre are ewer obervtion (c) Calculate the trimmed mean nor each sample by deleting theaer and largest observation. (ANnd yor answers to two decanal farm homes What are the corresponding trimming percentages? (Round your answers to two decimal places) eung

Explanation / Answer

(a) Sample mean of urban homes = 21.55 £u/mg.

Sample mean of farm homes = 8.31 £u/mg.

Thus the average endotoxin concentration in urban homes is more than double than the average concentration in farm homes. (Ans).

(b) Sample median of urban homes = 17 £u/mg.

Sample median of farm homes = 8 £u/mg.

Thus the median endotoxin concentration in urban homes is roughly double the median concentration in farm homes. (Ans).

Mean and median are so different because the large values increases the mean but not the median. (Ans).

(c) Trimmed mean for urban homes = 17£u/mg.

Trimmed mean for farm homes = 7.76 £u/mg.

Trimming percentage for urban homes

= (21.55 - 17) * 100 / 21.55 = 21.11%.

Trimming percentage for rural homes

= (8.31 - 7.76) * 100 / 8.31 = 6.62%.

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