A researcher is testing the effect of a new cold and flu medication on mental alertness. A sample of n = 16 college students is obtained, and each student is given the normal dose of the medicine. Thirty minutes later, each student's performance is measured on a video game that requires careful attention and quick decision making. The sample has a M = 33 and s^2 = 16.
Assuming that scores for students in the regular population average μ = 30, are the data sufficient to conclude that the medication has a significant effect?
Use a two-tailed test with α = .05. Make sure to show all 4 steps of hypothesis testing. Compute Cohen's d to measure the size of the effect.
Compute r^2 to measure the size of the effect. Write a sentence showing how the outcome of the hypothesis test and the measure of effect size would appear in a research report.