AnswersStatisticsTesting Claims about Means — TestQuestion 2
2
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Testing Claims about Means — Test

Question 2 • Statistics

The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let mu sub 1 is equal to the true mean amount of time that volunteers who were given training held their breath and mu sub 2 is equal to the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses?

Answer
A
ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is greater than 0
B
ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is less than 0
C
ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is not equal to 0
D
ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is equal to 0

Explanation

The question asks whether trained volunteers held their breath longer on average. Since μ₁ is the mean for trained volunteers and μ₂ is the mean for volunteers without training, “longer” means μ₁ − μ₂ > 0. The null hypothesis uses no difference, μ₁ − μ₂ = 0, so choice A is correct.

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