Math 1431 – Spring 2003 – Test #3 – Practice
Question 2 Answer
  1. Identify the parameter: the parameter is the population mean, μ

  2. State the hypotheses:
    H0: μ = 32
    Ha: μ ≠ 32
  3. Choose a test statistic: the test statistic is the z–statistic

  4. Use Z-Test on TI83:

    The P–value is 0.0164.

  5. Make a conclusion:
    1. When α = 0.05: The P–value ≤ α, so we reject H0 at the α = 0.05 significance level. Thus, the average driving distance of commuting students is not 32 miles.
    2. When α = 0.01: The P–value > α, so we fail to reject H0 at the α = 0.01 significance level. Thus, there is not enough evidence to reject the claim that the average driving distance of commuting students is 32 miles.