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

Question

Listed below are measured amounts of lead (in micrograms per cubic meter, or mu g divided by m cubedg/m3) in the air. The EPA has established an air quality standard for lead of 1.5 mu g divided by m cubedg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 9595% 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 0.42 0.84 0.72 0.90

What is the confidence interval for the population mean

Explanation / Answer

for 95% confidence level and (n-1=5) degree of freedom ; crtiical value t=2.5706

hence 95% confidence interval =sample mean -/+ t*std error =-0.4455 ; 3.5388

as amount of lead in the air can not be negative ; while our confidence interval contains value below 0; which sugggest that  the confidence interval is not be very good

X 5.4 1 0.42 0.84 0.72 0.9 mean(X) 1.547 std deviation(S) 1.898 std error =S/(n)1/2 0.775

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