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Average Time Traveled to Work

Average Time Traveled to Work. Sara Barndt Becca Burkhart Chelsea Klausfelder Chris Keenan. Introduction. We decided to calculate the estimated population parameter of the average minutes the United States population travels to work.

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Average Time Traveled to Work

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  1. Average Time Traveled to Work Sara Barndt Becca Burkhart Chelsea Klausfelder Chris Keenan

  2. Introduction • We decided to calculate the estimated population parameter of the average minutes the United States population travels to work. • We found data of all 50 states on the internet. After numbering the states from 1-50, we used the random integer function on the graphing calculator to randomlyselect 25 of the states.

  3. Data Alabama-22.4 Arizona-23.6 California-26.7 Colorado-23.3 Delaware-22.5 Indiana-21.7 Iowa-17.6 Kansas-17.6 Kentucky-22.4 Lousiana-23.7 Maryland-29.1 Massachusetts-26.1 Mississippi-21.8 Nebraska-16.0 Nevada-22.3 New Jersey-28.6 New York-31.1 Ohio-22.0 Pennsylvania-23.8 South Dakota-15.5 Texas-23.5 Utah-20.8 Virginia-25.3 West Virginia-25.4 Wisonsin-20.0

  4. Summary Data • Total values (n) = 25 • Sample mean (x) = 22.91 • Sample standard deviation (s) = 3.84 • Degrees of Freedom = 24

  5. T-score vs Z-score • We used a random sample of 25 states. Since we have an unknown standard deviation of the population we will be using a t-score.

  6. 90% CI • CL: 90% or .90 • α: .1 • α/2: .05 • T-Score: 1.711 • 21.60mins<μ<24.22mins • RLI: We can be 90% confident that the average amount of minutes it takes to travel to work is between 21.60 and 24.22.

  7. 95% CI • CL: 95% or .95 • α: .05 • α/2: .025 • T-Score: 2.064 • 21.32mins<μ<24.50mins • RLI: We can be 95% confident that the average amount of minutes it takes to travel to work is between 21.32 and 24.50.

  8. 98% CI • CL: 98% or .98 • α: .08 • α/2: .04 • T-Score: 2.492 • 21.00mins<μ<24.82mins • RLI: We can be 98% confident that the average amount of minutes it takes to travel to work is between 21.00 and 24.82.

  9. 99% CI • CL: 99% or .99 • α: .01 • α/2: .005 • T-Score: 2.797 • 20.76mins<μ<25.06mins • RLI: We can be 99% confident that the average amount of minutes it takes to travel to work is between 20.76 and 25.06.

  10. Which Confidence Levels Did We Use? • We decided to use the confidence level of 95% because it is the most commonly used. • confidence interval: 21.32mins<μ<24.50mins

  11. Conclusion • The actual mean amount of minutes the United States population travels to work is 22.3 minutes. • The sample mean is considerably close to the population mean. It is 22.91. • The population mean falls in between each of our confidence intervals.

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