Answered: The Addiction Severity Index (ASI)…

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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The Addiction Severity Index (ASI) measures the impact of addiction on a person’s personal, family, and work life. among addicts who respond to the survey, the mean score on the ASI is 145, with a standard deviation of 17.5. Scores are normally distributed.

D. What is the probability that a randomly selected respondent will have an ASI score between 130 and 150?

E. There's a new treatment for addiction and because resources are limited, a program decides it can offer it only to those people whose ASI scores are in the top 10% of scores. What raw score on the ASI would a person have to have to be eligible for the program? (Hint: this is an 'inside-out' type of problem.)

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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There's a new treatment for addiction and because resources are limited, a program decides it can offer it only to those people whose ASI scores are in the top 10% of scores. What raw score on the ASI would a person have to have to be eligible for the program?

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