13. For each example, state whether the one- sample, two-independent-sample, or

Question

13. For each example, state whether the one- sample, two-independent-sample, or related- samples t test is most appropriate. If it is a related-samples t test, indicate whether the test is a repeated-measures design ora matched-pairs design. (a) A professor tests whether students sit- ting in the front row score higher on an exam than students sitting in the back row. (b) A graduate student selects a sample of 25 participants to test whether the average time students attend to a task is greater than 30 minutes. (c) A researcher matches right-handed and left-handed siblings to test whether right-handed siblings express greater emotional intelligence than left-handed siblings.

Explanation / Answer

(a) This is going to be two-independent-samples t test, one would be students sitting in the front row and another one would be students sitting in the back row. Scores of front row students does not depend on back row students and vice versa, hence it would be a independent samples. This is repeated-measures design, we are going to need scores few students sitting in a front row (repeating experiment by considering n1 students) and scores of few students sitting in back row (repeating experiment by considering n2 students) which are independent.

(b) here we want to test whether u > 30. To test this researcher needed just one sample of 25 participants, so one-sample t test would be appropriate in this case. This is repeated-measures design (repeating experiment on 25 participants) we do not need any matched pairs.

(c) This is going to be related-samples t test, here we are required pair of sibilings one who is right-handed and other one with left-handed, hence the samples are related. This will be matched-pair design.

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