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 15days. He finds that Route A takes an average of 47 minutes, with standard deviation 2 minutes, and Route B takes an average of 48 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. Part 1 a) Find a 95%
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 15days. He finds that Route A takes an average of 47 minutes, with standard deviation 2 minutes, and Route B takes an average of 48 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. Part 1 a) Find a 95%
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 15days. He finds that Route A takes an average of 47 minutes, with standard deviation 2 minutes, and Route B takes an average of 48 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b.
Part 1
a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times,
μB−μA.
The confidence interval is: (enter your response here,enter your response here). (Round to two decimal places as needed.)
Part 2
b) Should the man believe the old-timer's claim that he can save an average of 5 minutes a day by always driving Route A? Explain.
▼ (No/Yes)
▼ (contains/does not contain) 5 minutes.
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