A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.3%, 5.1%). What is the point estimate of the mean percentage of reservations that are canceled on the day of the flight?

Respuesta :

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% .