STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
Question
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Nine swimmers are randomly selected from a large group. Each is asked to hold their breath for as long as possible and the times are recorded. Then they are given instructions in a new method for relaxing while holding their breath. Afterwards, they are again timed on how long they can hold their breath. We wish to perform a t-test on this paired data to see if the swimmers held their breath for longer after receiving breath-holding instructions. Which of the following is not a required condition to perform a t-test on these paired data?
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We must be able to view these swimmers as a SRS of all swimmers who might receive this training.
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The distribution of the swimmers breath-holding times before the training is approximately normal.
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Each swimmer’s gain in breath-holding time is independent of the other swimmers
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The distribution of gains in breath-holding times of the swimmers is approximately normal.
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Explanation:
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