FSC-MTH110-N01-Spring2017 Test Module 3 Examination 1 of 200 complete This Tost:
ID: 3223435 • Letter: F
Question
FSC-MTH110-N01-Spring2017 Test Module 3 Examination 1 of 200 complete This Tost: 20 pts possti in hear The EPA has established Usted below are measured amounts of lead in micrograms peraubic meter or pg an air qualy standard forlaad of 1s,orm The measurements shoum telow were reowted af a building on dMenenf days Use values to constructa96%confidence intonvalestimate of the mean amount oflead in the air is there anything about tisdataset suggesting nat me oorndenoe interval migt not be 540 1.100.31 074 0ATT What is the confidence interval for the population mean Round to three decimal places as needed) lsthere anything about this dataset suggesting hatthe confidence interval mig t not be very good? O A Yes, because the sample mean is greater than 1.5 O B. Yes, because the oorsdence interval does not oontain 1.5 ug/m? c, No, ehe data appears to be normaly distributed D. Yes, the value of 540 appears to be an outerExplanation / Answer
Solution:
Given a=0.05, t(0.025, df=n-1=5) =2.57 (from student t table)
So 95% confidence interval is
x±Z/2 * s/n
=> 1.5533 ± 2.57 * (1.9042/sqrt(6))
=> (-0.44458, 3.55118)
Is there anything about this data set suggesting that the confidence interval might not be very good?
D. Yes, the value of 5.40 appears to be an outlier
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