Question

A researcher wants to examine the effect of new allergy medication on mental alertness. A sample of n = 16 college students is selected to the study. Each participant is given a normal dose of the medicine and thirty minutes later, each student's alertness is measured on a video game that requires careful attention and quick decision making. The results show that the sample mean alertness score is M = 39 with the standard deviation s = 18.

Assuming that in a college student population the mean alertness score is µ = 50, are the data sufficient to conclude that the new allergy medication has a significant effect on mental performance

• In order to answer this research question, use a single sample t -test with α = .05, 2-tails.
• If the effect is significant, compute the estimated Cohen's d to assess the size of the effect.
• Follow the steps of hypothesis testing and fill in the blanks below. Round all numerical answers to two decimal places.

ANSWER

• H_{0 _______________________________________________________________.}
• H_{1 ______________________________________________________________   .}
• Computed estimated standard error s_{M ______________.}
• Computed t _{________________.}
• Degrees of freedom, df ______________.
• Critical t-value for the decision about H_{0 _____________.}
• Decision about H₀ (i.e., reject or fail to reject) ____________.
• Estimated Cohen's d = ___________.
• Conclusion (i.e., is there a significant effect of new allergy medication on alertness or not? If the effect is significant, has mental alertness improved or declined?)

Answer 1