In: Statistics and Probability
A survey of 77 commercial airline flights of under 2 hours
resulted in a sample average late time for a flight of 2.60
minutes. The population standard deviation was 12 minutes.
Construct a 95% confidence interval for the average time that a
commercial flight of under 2 hours is late. What is the point
estimate? What does the interval tell about whether the average
flight is late?
(Round your answers to 2 decimal
places.)
≤ μ ≤
The point estimate is
.
Solution :
Given that,
Point estimate = sample mean = 
 = 2.60
Population standard deviation = 
 = 12
Sample size = n = 77
Z
/2
= 1.96
Margin of error = E = Z
/2*
(
/n)
= 1.96 * ( 12 / 
77)
Margin of error = E = 2.68
At 95% confidence interval estimate of the population mean is,
- E 


+ E
2.60 - 2.68 

2.60 + 2.68
-0.08 

5.28
( -0.08 , 5.28)