Exposure to microbial products, especially endotoxin, may have an impact on vuln
ID: 3150959 • 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
Answer a)
Part1:
Sample mean for each sample is as follows
Urban homes: 21.55 EU/mg
Farm homes: 8.33 EU/mg
Part2:
The two (Urban and farm) sample mean compare in following way (2nd option):
The average endotoxin concentration in Urban homes is more than double the average concentration in farm homes
Answer b)
Part1:
The sample median are as follows
Urban homes: 17 EU/mg
Farm homes: 8 EU/mg
Part2:
The two (Urban and farm) sample median compare in following way (2nd option):
The median endotoxin concentration in Urban homes is roughly double the median concentration in farm homes
Part3:
answer is first option- The mean and median for urban homes are so different because the few large values raise the mean but not median
Answer C)
Part1:
The trimmed mean for each sample by deleting the smallest and largest observation are as follow
Urban homes: 17 EU/mg
Farm homes: 7.75 EU/mg
Part2:
The corresponding trimming percentages are as follow
Urban homes: 1/11=9.09%
Farm homes: 1/15=6.67%
Part3: (The options in the dropdown are not visible here, so I make my own answer basis on the resulted values)
Urban homes: The trimmed mean is less than the mean of entire sample. The trimmed mean is equal to the median of the entire sample.
Farm homes: The trimmed is less than the mean of the entire sample. The trimmed mean is a little smaller than or roughly equal to the median of the entire sample (lookinig at their values).
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.