Solution: We have created a 95% confidence interval for μ with the result (10, 15). What decision will we make if we test H 0 : μ = 16 versus H 1 : μ ≠


Question: We have created a 95% confidence interval for μ with the result (10, 15).

  1. What decision will we make if we test H 0 : μ = 16 versus H 1 : μ ≠ 16 at α = 0.05? Justify your answer.
    1. Reject H 0 in favor of H 1.
    2. Accept H 0 in favor of H 1.
    3. Fail to reject H 0 in favor of H 1.
    4. We cannot tell what our decision will be from the information given.
  2. What decision will we make if we test H 0 : μ = 16 versus H 1 : μ ≠ 16 at α = 0.10? Justify your answer.
    1. Reject H 0 in favor of H 1.
    2. Accept H 0 in favor of H 1.
    3. Fail to reject H 0 in favor of H 1.
    4. We cannot tell what our decision will be from the information given.
  3. What decision will we make if we test H 0 : μ = 16 versus H 1 : μ ≠ 16 at α = 0.025?
    1. Reject H 0 in favor of H 1.
    2. Accept H 0 in favor of H 1.
    3. Fail to reject H 0 in favor of H 1.
    4. We cannot tell what our decision will be from the information given.

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