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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

In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation, In a similar study, researchers measured reaction time 30 minutes alter participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages μ = 400 msec. The distribution of reaction times is approximately normal with σ = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study.

a. Are the data sufficient to conclude that the alcohol has a significant effect on reaction time? Use a two-tailed test with α = .01.

b. Do the data provide evidence that the alcohol significantly increased (slowed) reaction time?

  Use a one-tailed lest with α = .05.

c. Compute Cohen's d to estimate the size of the effect.

a.

To determine
Whether the alcohol has a significant effect on reaction time.

Explanation

Given Info:

The population mean μ=400msec, standard deviation σ=40, sample mean M=422,sample size n=25 and the level of significance α=0.01.

Calculation:

The test hypotheses are,

Null hypothesis:

H0:μ=400msec

That is, Alcohol has a significant no effect on reaction time

Alternative hypothesis

H1:μ400msec

That is, Alcohol has a significant effect on reaction time.

From the standard normal table, the critical region for α=0.01 is z=±2

b.

To determine
Whether the alcohol significantly increased reaction time at level of significance α=0.05.

c.

To determine

To find: The Cohen’s d.

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