Listed below are measured amounts of lead (in micrograms per cubic meter, or ug/m^3) in the air. The EPA has established an air quality standard for lead of 1.5 mg/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, 0.43, 0.84, 0.79, 1.00
What is the confidence interval for the population mean u?
__ ug/m3< u< __ug/m3
Is there anything about this data set suggesting that the confidence interval might not be very good?
A. No, the data appears to be normally distributed
B. Yes, because the confidence interval does not contain 1.5 ug/m3
C. Yes, because the sample mean is greater than 1.5 ug/m3
D. Yes, the value of 5.40 appears to be an outlier