A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will 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 47 minutes, with standard deviation 5 minutes, and Route B takes an average of 52 minutes, with standard deviation 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (HB-HA)- The confidence interval is (.). (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will 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 47 minutes,
with standard deviation 5 minutes, and Route B takes an average of 52 minutes, with standard deviation 3 minutes. Histograms of travel times for the routes are roughly symmetric
and show no outliers. Complete parts a and b.
a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (HB-HA)-
The confidence interval is (.).
(Round to two decimal places as needed.)
Transcribed Image Text:A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will 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 47 minutes, with standard deviation 5 minutes, and Route B takes an average of 52 minutes, with standard deviation 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (HB-HA)- The confidence interval is (.). (Round to two decimal places as needed.)
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