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...


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<>





B. H0​: μ1=μ2 Ha​: μ1<>





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.









Jun 06, 2022
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