A clinical psychologist posits that drug use leads to conduct problems. To test this, he examines whether his adolescent inpatient drug users were elevated in terms of conduct disorder (CD). A sample of 100 was evaluated using a standard measure of CD; they had a mean score of 53. The population mean (µ) for the CD scale is 50 with a standard deviation (σ) of 10. Show calculations for the appropriate test. a. What are the null and alternative hypotheses? b. What inferential test did you use? Using an alpha level of .05, determine whether the sample was significantly different from population.

The summary of statistics is (a) Null and the alternative hypothesis: Significance level, α=0.05…

Answered: A clinical psychologist posits that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A clinical psychologist posits that drug use leads to conduct problems. To test this, he examines whether his adolescent inpatient drug users were elevated in terms of conduct disorder (CD). A sample of 100 was evaluated using a standard measure of CD; they had a mean score of 53. The population mean (µ) for the CD scale is 50 with a standard deviation (σ) of 10. Show calculations for the appropriate test.

a. What are the null and alternative hypotheses?

b. What inferential test did you use? Using an alpha level of .05, determine whether the sample was significantly different from population.

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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