In a large population of college-educated adults, the mean IQ is 102 with a standard deviation of 12. Suppose 100 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ isexactly normal, mean 102, standard deviation 12approximately normal, mean 102, standard deviation 1.2approximately normal, mean equal to the observed sample mean value, standard deviation 12approximately normal, mean 102, standard deviation 0.12

The Central Limit Theorem (CLT) is a fundamental concept in statistics. It states that if you have a…

Answered: In a large population of…

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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In a large population of college-educated adults, the mean IQ is 102 with a standard deviation of 12. Suppose 100 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is

exactly normal, mean 102, standard deviation 12
approximately normal, mean 102, standard deviation 1.2
approximately normal, mean equal to the observed sample mean value, standard deviation 12
approximately normal, mean 102, standard deviation 0.12

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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