Question

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 20 days. He finds that Route A takes an average of 47 minutes, with standard deviation 5 minutes, and Route B takes an average of 49 minutes, with standard deviation 2 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, (?? - ??). 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 20 days. He finds that Route A takes an average of 47 minutes, with standard deviation 5 minutes, and Route B takes an average of 49 minutes, with standard deviation 2 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, (?? - ??).

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 20 days. He finds that Route A takes an average of 47 minutes, with standard deviation 5 minutes, and Route B takes an average of 49 minutes, with standard deviation 2 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, (?? - ??).

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.

Added by Aarelan H.

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