Answered: What is the probability that a randomly…

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 population distribution of scores on a commonly used IQ test is normal with a mean of 100 and a standard deviation of 15. The test was recently administered to a sample of psychology undergraduates and to a sample of mildly depressed psychiatric patients. Both groups yielded normally distributed IQ scores. The standard deviation of the students' scores was 12 and that of the patients' was 17. The probability that a psychology student has a lower IQ than the average person in the population was found to be 10 percent. The probability that a patient has a higher IQ than the average psychology student is 5 percent.

a) What is the probability that a randomly selected psychology student will have a lower IQ than the average psychiatric patient?

b) What percentage of people from the general population will have a higher IQ than a student at the 67th percentile of the psychology student distribution?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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