3 5. In (E) repeated samples of the same size, approximately 99 percent of the intervals constructed from the samples will capture the difference in population means. Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and W. One confidence interval, Ig, will be constructed using samples of size 9 from each of R and W, and the other confidence interval, I81, will be constructed using samples of size 81 from each of R and W. When all other things remain the same, which of the following describes the relationship between the two confidence intervals? (A) The width of I81 will be (B) The width of I81 will be the width of Ig. the width of Ig. (C) The width of I81 will be equal to the width of Ig. (D) The width of I81 will be 3 times the width of Ig. (E) The width of I81 will be 9 times the width of Ig. Standard Error (SEM) of the Mean = 5 √n The n of 189 is 81, w/c is a times larger than the sample size of Ig, wie is 9. there fore fere Se for Page 2 of 4 AP Statistics ↑ SD narrowver (J will be √ä = 3 tim 189 will

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