### Identifying the Appropriate Use of a Dependent Samples t-Test in Research Design**Question:**Which of the following research designs requires conducting a dependent samples t test?1. A study comparing academic achievement of a group of students before and after a learning intervention.2. A study comparing academic achievement of students who receive a learning intervention versus those who do not.3. A clinical study investigating a new drug's effect on lowering cholesterol using two different groups of participants, a control group and an experimental group.4. A study comparing life satisfaction between individuals who commute to work and those who telecommute.#### Explanation:The dependent samples t-test, also known as the paired samples t-test, is typically used when comparing two related groups. This includes scenarios where measurements are taken from the same group of subjects under different conditions or at different points in time.- **Option 1:** This study entails assessing the same group of students both before and after they participate in a learning intervention. Since the same subjects are measured twice, the data sets are related, making this the appropriate scenario for a dependent samples t-test. - **Option 2:** This involves comparing academic achievement between two distinct groups of students (those who received the intervention and those who did not). This scenario implies independent groups, not related or paired, therefore it is better suited for an independent samples t-test. - **Option 3:** Similar to the second option, this clinical study compares two different groups of participants (control and experimental), thus involving independent groups and requiring an independent samples t-test. - **Option 4:** This study compares two separate groups (commuters vs. telecommuters), which means the groups are independent. An independent samples t-test is the appropriate choice here as well.**Conclusion:**The research design in option 1 ("A study comparing academic achievement of a group of students before and after a learning intervention.") is best suited for conducting a dependent samples t-test.

Option A is correct. A study comparing academic achievement of a group of students before and after…

Answered: Which of the following research designs…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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