A researcher wants to test a new formula for a sports drink that improves runnin

Question

A researcher wants to test a new formula for a sports drink that improves running performance. Instead of a regular, carbohydrate-only drink, this new sports drink contains a new carbohydrate-protein mixture. The researcher would like to know whether this new carbohydrate-protein drink leads to a difference in performance compared to the carbohydrate-only sports drink. To do this, the researcher recruited 20 participants who each performed two trials in which they had to run as far as possible in 2 hours on a treadmill. In one of the trials they drank the carbohydrate-only drink and in the other trial they drank the carbohydrate-protein drink. The order of the trials was counterbalanced and the distance they ran in both trials was recorded.

1. What is the proper test statistic to run on these data? Justify your response.

2. Are there any outliers? Hint: Use a Box Plot

3. Is there evidence of deviations from Normality? Hint: Skewness and Kurtosis

4. Run the proper analysis on the data.

5. Calculate the effect size.

6. Write-up the result. Hint: Be sure to make a note of the hypothesis you’re testing, the assumption checks you ran, and the result of your analysis.

Explanation / Answer

1. In obtain results for this study, the appropriate statistic would be the repeated measures or dependent sample t-test. This is a statistical procedure used to determine whether the averages or mean differences between two sets of observations in a single sample is significant. In other words, each subject or entity is measured twice, resulting in pairs of observations.

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