6. 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 approximately normally distributed results (in minutes) from a random sample of 8 trips. 27 38 30 42 24 37 30 39 a. Explain how you determined your data was normally distributed. b. Using technology, determine the sample mean and sample standard deviation for this data. Round your answers to three decimal places. c. Use these data to create a 95% confidence interval for the population mean time of the commute. d. Interpret your interval in the context of the problem.

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