Listed below are measured amounts of lead (in micrograms per cubic meter or mu g

Question

Listed below are measured amounts of lead (in micrograms per cubic meter or mu g/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 a of lead in the air ls there anything about this data set suggesting that the confidence interval might not be very good? 5.40 1.10 0,32 078 0.69 1.10 What is the confidence interval for the population mean mu? mu g/m^3

Explanation / Answer

from above

for 5 degree of freedom and 95% cI, z=2.5706

hence confidence interval =sample mean -/+ t*Std error =-0.430; 3.560

X 5.400 1.100 0.320 0.780 0.690 1.100 mean(X) 1.565 std deviation(S) 1.901 std error =S/(n)1/2 0.776

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