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Name: A researcher wanted to test whether people tended to trust people who
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Description: A researcher wanted to test whether people tended to trust people who smiled more than people who did not smile. To test that, she collected a sample of fifty people and presented each of them with 48 pairings of photos. Each pairing was made of one

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 researcher wanted to test whether people tended to trust people who smiled more than people who did not smile. To test that, she collected a sample of fifty people and presented each of them with 48 pairings of photos. Each pairing was made of one photo of a smiling person, and another photo of a person who was not smiling. The subjects were asked to select the person they trusted more. For each subject, the researcher measured the number of times a smiling person was selected. Based on the null hypothesis, what should be the mean number of times a smiling person is selected?

1. 48

2. 25

3. 50

4. 24

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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