Question

Suppose that we wish to test H0: µ = 20 versus H1: µ ≠ 20, where...

Suppose that we wish to test H0: µ = 20 versus H1: µ ≠ 20, where σ is known to equal 7. Also, suppose that a sample of n = 49 measurements randomly selected from the population has a mean of 18.

  1. Calculate the value of the test statistic Z.
  2. By comparing Z with a critical value, test H0 versus H1 at α = 0.05.
  3. Calculate the p-value for testing H0 versus H1.
  4. Use the p-value to test H0 versus H1at each of α =0.10, 0.05, 0.01, and 0.001.
  5. How much evidence is there that H0: µ = 20 is false?

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