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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

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 μ = 400 msec, and σ = 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 α = .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.

a.

To determine
Whether caffeine has a significant effect on response time.

Explanation

Given Info:

The sample size is n=36, the population mean is μ=400msec, standard deviation σ=40 and the sample mean is M=392.

Calculation:

The test hypotheses are,

Null hypothesis:

H0:μ=400msec

That is, caffeine has no significant effect on the response time.

Alternative hypothesis:

H1:μ400msec

That is, caffeine has significant effect on the response time.

From the standard normal table, the critical region for the two tailed test with α=0.05 is z=±1

b.

To determine

To find: The Cohen’s d.

c.

To determine

To Describe: The outcome of the hypothesis tests the measure of effect size.

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