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. A. Draw the normal curve and label it with raw scores for mean, plus and minus one standard deviation, plus and minus two standard deviations. (You will have 5 marks along the x axis in all.) Include your drawing in your scratch work or below. B. What is the probability of a score lower than 145? C. What is the probability of a score higher than 162.5? 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.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
A. Draw the normal curve and label it with raw scores for mean, plus and minus one standard deviation, plus and minus two standard deviations. (You will have 5 marks along the x axis in all.) Include your drawing in your scratch work or below.
B. What is the
C. What is the probability of a score higher than 162.5?
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.)
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