A forensic psychologist is interested in testing whether serial killers are more introverted than the general population. A sample of 16 serial killers serving life sentences was tested and found to have a sample mean introversion score of 41 and a standard deviation (s) of 10. The population mean (µ) for introversion is 36What are the null and alternative hypotheses? Using an alpha level of .05, determine whether his sample was significantly different from population. Report and interpret an effect size. Given your conclusion in part b, what type of error might you be making?

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Description: A forensic psychologist is interested in testing whether serial killers are more introverted than the general population. A sample of 16 serial killers serving life sentences was tested and found to have a sample mean introversion score of 41 and a s

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A forensic psychologist is interested in testing whether serial killers are more introverted than the general population. A sample of 16 serial killers serving life sentences was tested and found to have a sample mean introversion score of 41 and a standard deviation (s) of 10. The population mean (µ) for introversion is 36
1. What are the null and alternative hypotheses?

Using an alpha level of .05, determine whether his sample was significantly different from population.

Report and interpret an effect size.

Given your conclusion in part b, what type of error might you be making?

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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