In Exercises 1–4, classify the two samples as independent or d...

Question

In Exercises 1–4, classify the two samples as independent or dependent and justify your answer.

Sample 1: The fuel efficiencies of 12 cars

Sample 2: The fuel efficiencies of the same 12 cars using an alternative fuel

Accepted Answer

All right. Hi, everyone. So, this question says, researchers aim to investigate the impact of blue light filtering glasses on sleep latency. They measure the time in minutes it takes to fall asleep for 18 participants on 2 different nights. Sample 1 is sleep latency without blue light filtering glasses, and sample two is sleep latency with blue light filtering glasses. Classify each pair of samples as independent or dependent. Choose the best answer and justify your choice. Here we have 4 different answer choices labeled A through D. So, based on the information that we're already given, we can see that each of the 18 participants is measured twice. Once for sample 1 and another time for sample 2, so without glasses and with glasses. So because of this, The observations made in both samples are linked to each other. In other words, the data is paired. Now, recall that independent samples require that no observation in one sample corresponds to an observation in the other. So, according to the definition of independent samples, that does not apply in this case. Dependent samples, otherwise known as paired samples, occur when observations are naturally linked or matched. Such as in this case. When two measurements are made from the same participant. Therefore, the scenario involves dependent samples, and the correct answer is option C, which reads dependent samples because each participant provides two lengthed measurements. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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In Exercises 1–4, classify the two samples as independent or dependent and justify your answer.

Sample 1: The fuel efficiencies of 12 cars
Sample 2: The fuel efficiencies of the same 12 cars using an alternative fuel

Key Concepts

Independent Samples

Dependent Samples

Justification in Statistical Analysis

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In Exercises 1–4, classify the two samples as independent or dependent and justify your answer.Sample 1: The fuel efficiencies of 12 carsSample 2: The fuel efficiencies of the same 12 cars using an alternative fuel