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

Question

isted 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 0.45 0.67 0.78 1.10

Explanation / Answer

Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=1.5667
Standard deviation( sd )=1.8923
Sample Size(n)=6
Confidence Interval = [ 1.5667 ± t a/2 ( 1.8923/ Sqrt ( 6) ) ]
= [ 1.5667 - 2.571 * (0.773) , 1.5667 + 2.571 * (0.773) ]
= [ -0.419,3.553 ]

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