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 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

1.20

0.37

0.77

0.79

1.20

What is the confidence interval for the population mean mu?

Is there anything about this data set suggesting that the confidence interval might not be very good?

Explanation / Answer

The statistical software output for this problem is:

Hg
One sample T confidence interval:
: Mean of variable

95% confidence interval results:

Variable Sample Mean Std. Err. DF L. Limit U. Limit
Data 1.6216667 0.76626982 5 -0.34809251 3.5914258

Hence,

95% confidence interval will be:

(-0.3481, 3.5914)

Yes, this data set contains one outlier i.e. 5.40 which suggests that the confidence interval might not be reliable.

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