Question

# A man who moves to a new city sees that there are two routes he could...

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 10 days. He finds that Route A takes an average of 42 ​minutes, with standard deviation 11 minutes and Route B takes an average of 47 minutes, with standard deviation 55 minutes .

Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. Use

alphaαequals=0.05.

​a) Find a​ 95% confidence interval for the difference between the Route B and Route A commuting​ times

How can the degree of freedom be found using the table?

Since histograms of travel times for the routes are roughly symmetric and show no outliers, we can assume population distribution as normal.

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