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How long does it take to commute from home to work? It depends on several factors,...

  1. How long does it take to commute from home to work? It depends on several factors, including route, traffic, and time of departure. The data below are results (in minutes) from a random sample of eight trips.

27         38         30         42         24         37         30         39

  1. a. What is the sample mean  and the sample standard deviation s? (Use Desmos.) Round your answers to the nearest tenth.
  2. b. Use these data to create a 95% confidence interval for the population mean time of the commute. Round your final answers to the nearest tenth.
  3. c. Interpret the meaning of the confidence interval in the context of this problem. Include units in your answer.
  4. d. If your trip home is 26 minutes, would that be considered above or below the population average? Why or why not?
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