Answer: The point estimate for the mean is 3.2% and the margin of error is 1.9% .
Step-by-step explanation:
The confidence interval for population mean is given by :-
[tex]\mu\pm E[/tex], where E is the margin of error .
Given : A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.3%, 5.1%).
Lower limit of the confidence interval : [tex]\mu-E=1.3\%[/tex] (1)
Upper limit of the interval : [tex]\mu+E=5.1\%[/tex] (2)
Adding (1) and (2) , we get
[tex]2\mu=6.4\%\\\\\Rightarrow\mu=3.2\%[/tex]
Now, Subtracting (1) from (2) , we get
[tex]2E =3.8\%\\\\\Rightarrow\ E=1.9\%[/tex]
Hence, the point estimate for the mean is 3.2% and the margin of error is 1.9% .