Preliminary analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers randomly and independently selected 29 prisoners diagnosed with chronic posttraumatic stress disorder (PTSD) and 21 prisoners that were diagnosed with PTSD but had since recovered (remitted).
Chronic Remitted
x1 = 29.7 x2 = 22.6
s1 = 3 s2 = 9
n1 = 29 n2 = 21

Obtain a 95% confidence interval for the difference, µ1 - µ2, between the mean ages at arrest for prisoners with chronic PTSD and remitted PTSD.

(2.880, 11.320)

Step-by-step explanation:

Keep in mind the formula for a 2-sample t-interval.

t = x1 - x2 ± t*

First calculate df the degrees of freedom and t* the critical t.

df = 23.24 (from technology: STAT->TEST->0)

t* = invt(.975, 23.24) = 2.067

Now plug them in and solve.

t = x1 - x2 ± t*

 = 29.7 - 22.6 ± 2.067

 = 7.1 ± 4.220

 = (2.880, 11.320)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

choose (5, 1.5) and (-1.5,-3.5)

step-by-step explanation:

5 - 1.5 =3.5

-1.5 - (-3.5) = 2

3.5 + 2 =5.5

hope this !