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When Comparing Two Means, Which Situation Is Most Likely to Lead

Question 1

Multiple Choice

When comparing two means, which situation is most likely to lead to a result that is statistically significant? (Consider all other factors equal, such as significance level and standard deviations.)


A) x1\overline{x}_1 = 10, x2\overline{x}_2 = 20 and the sample sizes are n1n_1 = 25 and n2n_2 = 25
B) x1\overline{x}_1 = 10, x2\overline{x}_2 = 25 and the sample sizes are n1n_1 = 25 and n2n_2 = 25
C) x1\overline{x}_1 = 10, x2\overline{x}_2 = 20 and the sample sizes are n1n_1 = 15 and n2n_2 = 20
D) x1\overline{x}_1 = 10, x2\overline{x}_2 = 25 and the sample sizes are n1n_1 = 25 and n2n_2 = 35

Correct Answer:

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