10.48 Sampling distribution of x1 - x2 Refer to Example 12, which compared two groups of seven...

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10.48 Sampling distribution of x1 - x2 Refer to Example 12, which compared two groups of seven dogs each in terms of their time interacting with their owners. The following graph shows a smoothed version of the sampling distribution of x1 - x2 derived from the permutation approach. Superimposed (in blue) is the theoretical sampling distribution of x1 - x2 if the sample sizes were large.

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a. What would the mean, standard error, and approximate shape of the theoretical sampling distribution of x1 - x2 be if the sample sizes were large?

b. Comment on how the permutation sampling distribution of x1 - x2 differs from the theoretical, large-sample one.

c. Consider the one-sided alternative Ha: m1 7 m2. If the actually observed difference in sample means were 100, would the P-values computed from each sampling distribution be the same or different? Explain.

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Related Book For  book-img-for-question

Statistics The Art And Science Of Learning From Data

ISBN: 9781292164878

4th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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