Textbook: Statistics for the Behavioral SciencesGregory J. Privitera Summarizing Data: Central Tendency - Please show your work A neuroscientist measures the reaction times (in seconds) during an experimental session in a sample of cocaine-addicted (n = 8), morphine-addicted (n = 12), and heroin-addicted (n = 6) rats. Mean reaction times in each sample are 11, 18, and 13 seconds, respectively. What is the weighted mean for all three samples? Hint: The overall mean is not 14.0 seconds.

Answered: Mean reaction times in each sample are…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Textbook: Statistics for the Behavioral Sciences

Gregory J. Privitera

Summarizing Data: Central Tendency - Please show your work

A neuroscientist measures the reaction times (in seconds) during an experimental session in a sample of cocaine-addicted (n = 8), morphine-addicted (n = 12), and heroin-addicted (n = 6) rats. Mean reaction times in each sample are 11, 18, and 13 seconds, respectively. What is the weighted mean for all three samples? Hint: The overall mean is not 14.0 seconds.

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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