Suppose we have samples of five men and of five women and have conducted a randomization test to compare the sexes on the variable Y = pulse. Further, suppose we have found that in 120 out of the 252 possible outcomes under randomization the difference in means is at least as large as the difference in the two observed sample means. Does the randomization test provide evidence that the sexes differ with regard to pulse? Justify your answer using the randomization results.

Question

Ishaan Mckay

Mathematics

21 September, 23:50

Suppose we have samples of five men and of five women and have conducted a randomization test to compare the sexes on the variable Y = pulse. Further, suppose we have found that in 120 out of the 252 possible outcomes under randomization the difference in means is at least as large as the difference in the two observed sample means. Does the randomization test provide evidence that the sexes differ with regard to pulse? Justify your answer using the randomization results.

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Answers (1)

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Kody Riley · Answer 1

Answer and Step-by-step explanation:

The data represent sample of five men and five women conducted a randomization test to compare the sexes on the variable pulse.

The samples revealed that in 120 out of 252 possible outcomes under randomization have large difference. From this information it cannot be concluded that the sexes differ with regard to pulse.

The hypothesis test should be conducted between treatment and response for valid conclusion. The student can consider the biological content of men and women or verbal statements. The answer varies from person to person according to their respective data set. Therefore, it cannot be concluded that the sexes differ with regard to pulse.