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D5: According to the US Federal Highway Administration, the mean number of miles driven annually is...

D5: According to the US Federal Highway Administration, the mean number of miles driven annually is 12,200. A state official claims that residents of her state drive more than the national average. A simple random sample of 37 drivers from this state are selected. The mean number of miles driven for this sample of 37 drivers is 12,861.7 and the sample standard deviation was 2,200 miles.

  1. Is this a hypothesis test for a mean or a proportion? How do you know?
  2. Write the null and alternative hypothesis for this test (in words and symbols).
  3. Find the p-value. Explain your method and TI commands.
  4. What decision is made if a significance level of 0.02 is used? (Compare to D6)
  5. Based on this decision, what would you conclude about the mean number of miles driven from residents of this state?
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