Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently selected 30 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 22 prisoners that were diagnosed with PTSD but had since recovered (remitted). The ages, in years, at arrest yielded the summary statistics shown in the table to the right. At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean age at arrest of prisoners with chronic PTSD and remitted PTSD? Chronic Remitted x1 = 28.2 x2 = 20.9 s1 = 5 s2 = 6 n1 = 30 n2 = 22 What are the hypotheses for the nonpooled t-test? A. H0: μ1≥μ2 Ha: μ1<μ2 B. H0: μ1=μ2 Ha: μ1<μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1=μ2 Ha: μ1≠μ2 Find the test statistic. t=_ (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion of the hypothesis test? _ (Reject or Do not reject) the null hypothesis, meaning that the data ______ (do not provide or provide) sufficient evidence to conclude that a difference exists in the mean age at arrest of prisoners with chronic PTSD and remitted PTSD.

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Description: Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently selected 30 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 22 pri

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently selected 30 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 22 prisoners that were diagnosed with PTSD but had since recovered (remitted). The ages, in years, at arrest yielded the summary statistics shown in the table to the right. At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean age at arrest of prisoners with chronic PTSD and remitted PTSD?

Chronic	Remitted
x1	=	28.2	x2	=	20.9
s1	=	5	s2	=	6
n1	=	30	n2	=	22

What are the hypotheses for the nonpooled t-test?

A. H0: μ1≥μ2 Ha: μ1<μ2

B. H0: μ1=μ2 Ha: μ1<μ2

C. H0: μ1=μ2 Ha: μ1>μ2

D. H0: μ1=μ2 Ha: μ1≠μ2

Find the test statistic.

t=___________

(Round to three decimal places as needed.)

Find the critical value(s).

__________________

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

What is the conclusion of the hypothesis test?

_______________ (Reject or Do not reject) the null hypothesis, meaning that the data ____________ (do not provide or provide) sufficient evidence to conclude that a difference exists in the mean age at arrest of prisoners with chronic PTSD and remitted PTSD.

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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