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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 46 minutes, with standard deviation 4 minutes, and Route B takes an average of 51 minutes, with standard deviation 1 minute. 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, (PB-HA). The confidence interval is (Round to two decimal places as needed.) 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. because the confidence interval for the difference 5 minutes.

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 46 minutes, with standard deviation 4 minutes, and Route B takes an average of 51 minutes, with standard deviation 1 minute. 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, (PB-HA). The confidence interval is (Round to two decimal places as needed.) 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. because the confidence interval for the difference 5 minutes.

MATLAB: An Introduction with Applications
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 15 days. He finds that Route A takes an average of 46 minutes, with standard deviation 4 minutes, and Route B takes an average of 51 minutes, with standard deviation 1 minute. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. COLES 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.) 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. because the confidence interval for the difference 5 minutes.
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 46 minutes, with standard deviation 4 minutes, and Route B takes an average of 51 minutes, with standard deviation 1 minute. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. COLES 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.) 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. because the confidence interval for the difference 5 minutes.
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