Question

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 or a matched-pairs design:

A principal at a local school wants to know how much students gain from being in an honors class. He gives students in an honors English class a test prior to the school year and again at the end of the school year to measure how much students learned during the year.   

Answer 1

solution:

A professor tests whether students sitting in the front row score higher on an exam than students sitting in the back row.

Here, the two different samples are tested independent of each other and compared hence,it is two-independent-sample t test.

A graduate student selects a sample of 25 participants to test whether the average time student attend to a task is grater than 30 minutes.

Here, only one samples is tested for the average time students attend to a task hence, it is one-sample t test.

A researcher matches right-handed and left-handed siblings to test whether right-handed siblings express greater emotional intelligence than left-handed siblings.

Here, the two different samples are tested related to each other and compared hence, it is related-sample t test. Also, the matches are already made hence, it is matched-pairs design.

A principal at a local school wants to know how much students gain from being in an honors class. He gives students in an honors English class a test prior to the school year and again at the end of the school year to measure how much students learned during the year.

Here, the two different samples are tested related to each other and compared hence, it is related-sample t test. Also, the matches are already made hence, it is repeated-measures design.

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