Suppose the average IQ score is 101 with a standard deviation of 25. Assume this is a normal distribution a) Suppose you choose a person. What is the chance their IQ is less than 80?musigmaxzleft tail area b) Suppose you choose 10 people, and average their IQs. What is the chance that you get a sample mean of 80 or less?musigmaxbarnzleft tail area

(a) Obtain the probability that their IQ is less than 80. The probability that their IQ is less than…

Answered: Suppose the average IQ score is 101…

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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Suppose the average IQ score is 101 with a standard deviation of 25. Assume this is a normal distribution

a) Suppose you choose a person. What is the chance their IQ is less than 80?

sigma

left tail area

b) Suppose you choose 10 people, and average their IQs. What is the chance that you get a sample mean of 80 or less?

sigma

xbar

left tail area

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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