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Name: A person says she can identify people of avoce average intelligence wi
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A person says she can identify people of avoce average intelligence with her eyes closed. The plan is to take her to a stadium full of randomly selected people from the general public and ask her to pick someone with her eyes closed who is above aver

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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A person says she can identify people of avoce average intelligence with her eyes closed. The plan is to take her to a stadium full of randomly selected people from the general public and ask her to pick someone with her eyes closed who is above average intelligence. It is known that, in general, the distibution of intelligence on the rest to be used is normal with the population mean is 100 and sigma is 15. The experiment is then conducted. She is blindfolded, taken to the stadium, and picks someone with an IQ of 140. Does this convience us that she has done something that would not just result from chance? (That is, she has somespecial ability, either emplying intuition, a hoax, or whatever.) Using the 5 steps of hypothesis testing, answer the question above.

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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