The researchers cited in the previous problem (Liguori & Robinson. 2001) also examined the effect of caffeine on response time in the driving simulator. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce cup of coffee. Using the same driving simulation task, for which the distribution of reaction times is normal with = 400 msec, and = 40, they obtained a mean of M = 392 for a sample of n = 36 participants.
a. Are the data sufficient to conclude that caffeine has a significant effect on reaction time? Use a two-tailed test with = .05.
b. Compute Cohen’s d to estimate the size of the effect.
c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
The sample size is , the population mean is , standard deviation and the sample mean is .
The test hypotheses are,
That is, caffeine has no significant effect on the response time.
That is, caffeine has significant effect on the response time.
From the standard normal table, the critical region for the two tailed test with is
To find: The Cohen’s d.
To Describe: The outcome of the hypothesis tests the measure of effect size.
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