Listed below are measured amounts of lead (in micrograms per cubic meter or pg/m

Question

Listed below are measured amounts of lead (in micrograms per cubic meter or pg/m^3) in the air. The EPA has established an air quality standard for lead of 1.5 mu g/m^3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air. IS there anything about this data set suggesting that the confidence interval might not be very good? 5.40 1.00 0.43 0.82 0.69 1.00 What is the confidence interval for the population mean mu ? mu g/m^3

Explanation / Answer

from above std error =std deviation/(n)1/2 where n=6

=0.7736

for (n-1=5) degree of freedom and 95% CI, t= 2.5706

hence confidence interval =sample mean -/+ t*std errror =-0.432 ; 3.545

please revert for this,as lower CI is negative, we can not assume that above data is normal

X 5.4 1 0.43 0.82 0.69 1 mean 1.5567 std deviation 1.8949

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