Air tratfic controllers have the crucial task of ensuring that aircraft don't collide To do this, they must quickly discern when two planes are about to enter the same air space at the same time. They are aided by video display panels that track the aircraft in their sector and alert the controller when two flight paths are about to converge. The display panel currently in use has a mean "alert bime of 15 seconds (The alert time is the time elapsing between the instant when two aircraft enter into a collision course and when a controller initiates a call to reroute the planes) According to Ralph Rudd, a supervisor of air traffic controllers at the Greater Cincinnati International Airport, a new display panel has been developed that uses artificial intelligence to project a plane's current flight path into the future. This new panel provides air traffic controlers with an earlier warning that a collision is likely It is hoped that the mean "alert time," u. for the new panel is less than 8 seconds In order to test the new panel 15 randomly selected air traffic controllers are trained to use the panel and their alert times for a simulated collision course are recorded. The sample alert times (in seconds) are. 73, 93, 8.0, 9.4, 8.8, 6.5.73. 70, 87, 91, 8 4,61, 70, 74, 6.3 Book (1) Using the fact that = 78 and s- 1142, find a 95 percent confidence interval for the population mean alert time. u. for the new panel (Round your answers to 3 decimal places.) ences The 95 percent confidence interval is from 7 261 to 0519 (2) Can we be 95 percent confident that p is less than 8 seconds? No one of the endpoints of the 95% conlidence interval is above 5 seconds

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Air traffic controllers have the crucial task of ensuring that aircraft don't collide To do this, they must quickly discern when two planes
dre about to enter the same air space at the same time. They are aided by video display panels that track the aircraft in their sector
and alert the controller when two flight paths are about to converge. The display panel currently in use has a mean "alert time" of 15
seconds (The alert time is the time elapsing between the instant when two aircraft enter into a collision course and when a controier
initiates a call to reroute the planes ) According to Ralph Rudd, a supervisor of air traffic controllers at the Greater Cincinnati
International Airport, a new display panel has been developed that uses artificial intelligence to project a plane's current flight path into
the future. This new panel provides air traffic controllers with an earlier warning that a collision is likely. It is hoped that the mean alert
time," . for the new panel is less than 8 seconds In order to test the new panel, 15 randomly selected air traffic controllers are trained
to use the panel and their alert times for a simulated collision course are recorded. The sample alert times (in seconds) are. 73, 93,
8.0, 9.4, 8.8, 6.5.73. 70, 87, 91, 8 4,61, 70, 74, 6.3
Book
(1) Using the fact that 78 and s-1142, find a 95 percent confidence interval for the poputation mean alert time. u. for the new
panel (Round your answers to 3 decimal pleces.)
ences
The 95 percent confidence interval is from
7 261 to
8.519
(2) Can we be 95 percent confident that is less than 8 seconds?
No
one of the enidpoints of the 95% conlidence interval in above 5 seconds
Transcribed Image Text:Air traffic controllers have the crucial task of ensuring that aircraft don't collide To do this, they must quickly discern when two planes dre about to enter the same air space at the same time. They are aided by video display panels that track the aircraft in their sector and alert the controller when two flight paths are about to converge. The display panel currently in use has a mean "alert time" of 15 seconds (The alert time is the time elapsing between the instant when two aircraft enter into a collision course and when a controier initiates a call to reroute the planes ) According to Ralph Rudd, a supervisor of air traffic controllers at the Greater Cincinnati International Airport, a new display panel has been developed that uses artificial intelligence to project a plane's current flight path into the future. This new panel provides air traffic controllers with an earlier warning that a collision is likely. It is hoped that the mean alert time," . for the new panel is less than 8 seconds In order to test the new panel, 15 randomly selected air traffic controllers are trained to use the panel and their alert times for a simulated collision course are recorded. The sample alert times (in seconds) are. 73, 93, 8.0, 9.4, 8.8, 6.5.73. 70, 87, 91, 8 4,61, 70, 74, 6.3 Book (1) Using the fact that 78 and s-1142, find a 95 percent confidence interval for the poputation mean alert time. u. for the new panel (Round your answers to 3 decimal pleces.) ences The 95 percent confidence interval is from 7 261 to 8.519 (2) Can we be 95 percent confident that is less than 8 seconds? No one of the enidpoints of the 95% conlidence interval in above 5 seconds
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