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For the following cases, you may use either the P-value approach or the rejection region approach...

For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

  1. Identifying the claim and H0 and Ha,
  2. Finding the appropriate standardized test statistic,
  3. Finding the P-value or the rejection region,
  4. Deciding whether to reject or fail to reject the null hypothesis, and
  5. Interpreting the decision in the context of the original claim.
  1. A city planner claims that the mean speed of westbound traffic along a road segment during morning peak hours is less than 50 miles per hour.  In a random sample of 45 motor vehicles traveling westbound on the road segment during morning peak hours, the mean speed is 51 miles per hour.   Assume the population standard deviation is 5 miles per hour.  Perform the appropriate hypothesis test at α = 0.05.
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