A man who moves to a new city sees that there are heo routes he could take to work Aneighbor who has ived there a long time tels him Route Aw average 5 minutes faster than Route The man decides to experiment Each day he fips a coin to determine which way to go, driving each route 15 days. He finds that Route Atakes an average of 49 minutes, with standard deviation 3 minutes, and Route B takes an average of 54 minutes, with standard deviation 1 minute. Histogams of travel tmes for the routes are roughly symmetrie and show no ouers Complete parts aand b a) Find a 05% contdence interval for the diference between the Route Band Route A commuting tmes. (PA) The confidence interval (Round to two decimal places as needed)

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A man who moves to a new oity sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A wil average 5 minutes faster than Route B.
The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 15 days. He finds that Route A takes an average of 49 minutes, with standard
deviation 3 minutes, and Route B takes an average of 54 minutes, with standard deviation 1 minute. Histograms of travel times for the routes are roughly symmetric and show no outlers
Complete parts a and b.
a) Find a 95% oonfidence Interval for the difference between the Route B and Route A commuting times. (Pn "PA)
The confidence interval is D
(Round to two decimal places as needed.)
Transcribed Image Text:A man who moves to a new oity sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A wil average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 15 days. He finds that Route A takes an average of 49 minutes, with standard deviation 3 minutes, and Route B takes an average of 54 minutes, with standard deviation 1 minute. Histograms of travel times for the routes are roughly symmetric and show no outlers Complete parts a and b. a) Find a 95% oonfidence Interval for the difference between the Route B and Route A commuting times. (Pn "PA) The confidence interval is D (Round to two decimal places as needed.)
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