Listed below are measured amounts of lead (g/m3) in the air. An organization has

Question

Listed below are measured amounts of lead (g/m3) in the air. An organization has established an air quality standard for lead of 1.5 g/m3. The measurements shown below were recorded at a destroyed building on different days immediately following its destruction. Assume that this sample is a simple random sample obtained from a population with a normal distribution. Use the given values to construct aa 9898% confidence interval estimate of the standard deviation of the amounts of lead in the air. Is there anything about this data set that suggests that the confidence interval might not be very good?

4.73 1.15 0.45 0.92 0.46 1.15   

The confidence interval estimate is ___ < standard deviation < ___

Explanation / Answer

alpha / 2 = 0.01

df = 5

X^2 0.01 =15.086

X^2 0.99 = 0.554

5 * 1.5 / 15.086 < Sstandar deviation < 5*1.5 / 0.554

0.497 < SD < 13.54

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