In a study, required to perform a task with their dominant hand and the same tas

Question

In a study, required to perform a task with their dominant hand and the same task with their non-dominant hand. The following results were obtained: Subject 2 3 4 5 6 7 8 9 10 11 12 Time with Dominant Hand (seconds) 30 20 24 17 26 27 19 22 18 24 22 33 Time with non-Dominant Hand (seconds) 34 23 26 16 28 27 21 25 20 28 26 40 Assuming that the conditions for inference are met, which of the following significance tests could legitimately be used to analyze this dataset? I. Two-sample t-test ll. Paired t-test III. t-test for the slope of the regression line (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III

Explanation / Answer

The paired sample t-test, sometimes called the dependent sample t-test, is a statistical procedure used to determine whether the mean difference between two sets of observations is zero. In a paired sample t-test, each subject or entity is measured twice, resulting in pairs of observations. Common applications of the paired sample t-test include case-control studies or repeated-measures designs. Suppose you are interested in evaluating the effectiveness of a company training program. One approach you might consider would be to measure the performance of a sample of employees before and after completing the program, and analyze the differences using a paired sample t-test.

Based on this definition it is clear that answer is II Paired t-test.

So B is answer

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