Answered: A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety…

Name: A social worker is interested in examining how people who have higher
Uploaded: 2024-03-20T07:06:41.000Z
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Description: A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale of 1–12 with higher numbers meaning more anxiety, f

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale of 1–12 with higher numbers meaning more anxiety, from eight individuals who had experienced a natural disaster. She collected these scores 3 weeks after the disaster (M=7.13, s=2.03) and 6 months after the disaster (M=3.5, s=1.6). She expected that the anxiety scores at 6 months would be much lower than at 3 weeks. If sD = 1.30 and you use a two-tailed test with an alpha of .05, is there a difference? Perform the 4 steps of hypothesis testing.

Anxiety at 3 weeks Anxiety at 6 months:

9 6
10 5
5 2
4 3
8 4
7 3
6 1
8 4

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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