Hypothesis Testing with Two Samples

Coursework Instructions:

A research firm tracks the average highway speed of 30 drivers driving home on Day 1. For the next 10 days, the drivers are given two cups of coffee 1 hour before the drive home. On the 10th day, the average highway speed is measured again. Does this study involve dependent or independent samples? You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why? Cite and reference needed.

Coursework Sample Content Preview:

Hypothesis Testing with Two Samples
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Hypothesis Testing with Two Samples
Part A
The study involves dependent samples. Dependent samples are paired measurements for one set of items (Anderson, 2017). This study involves dependent samples because the same subjects, the same set of 30 drivers, are observed on Day 1 and Day 10. The same sample characteristics are likely to be observed in the first and second experiments in a dependent sample. For example, drivers with the highest driving speed in the first sample will likely have the highest driving speeds in the second sample.
Independent samples entail different sets of subjects, and the subjects in one group do not provide information about the other samples. Each group has different subjects or sample values, which cannot be matched or paired with the sample values selected from the other population (Anderson, 2017). The sample will have been independent if there are two different groups of 30 drivers in which one group is given coffee, and the other is not.
Part B
If the researcher was interested in knowing whether the...

Updated on January 26, 2024

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Hypothesis Testing with Two Samples

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