Answered: In a study examining the effect of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 after participants consumed

one 6-ounce glass of wine. Again, they used a stan

dardized 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 test with α = .01.

c. Compute Cohen’s d to estimate the size of the

effect.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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