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The Fairfax County Economic Development Authority is concerned that increasing traffic congestion in the county is...

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Basic Math

  1. The Fairfax County Economic Development Authority is concernedthat increasing traffic congestion in the county is deterring newbusiness from moving to the area. A sample of 49 commuters inFairfax County were asked how long it took them to get to work inthe morning. A sample mean of 26 minutes and sample standarddeviation of 8 minutes was obtained.
    1. Construct a 96% confidence interval for the mean commute timeto work in Fairfax County.
    2. Across the Potomac, Montgomery County is competing with Fairfaxto attract business. A sample of 36 Montgomery County commuterswere asked how long it took to get to work in the morning. A samplemean of 23 minutes and a sample standard deviation of 10 minuteswas obtained. Construct a 96% confidence interval for the meancommute time to work in Montgomery County.
    3. Based on your calculations in (a) and (b), is there adifference on the average commute time in the two competingcounties? Justify briefly using the numbers in yourcalculations.

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