Answered: A professor is studying the effects 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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A professor is studying the effects of observation on reaction times. He knows that for people who are not being observed, the population's average reaction time for his task is 750ms and the standard deviation is 12ms. Dr. Heisenberg takes a sample of 16 people and observes them while doing a task and then measures their reaction times. He finds that the average reaction time for his sample is 744ms.

What are the upper and lower limits for a 95% confidence interval around the sample mean?

Upper Limit:_____________

Lower Limit:______________

What is the effect size (d) for the above example? _______________

Is that effect size closest to a small, medium, or large 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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