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

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

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milcah answered 8 months ago
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