A Sample of 30 Year Fixed Mortgage Rates at 12

Multiple Choice

A sample of 30 year fixed mortgage rates at 12 randomly chosen credit unions yields a mean rate of 6.65 % and a sample standard deviation of 0.38%. A sample of 30 year
Fixed mortgage rates at 16 randomly selected banks yields a mean rate of 7.05% and a
Sample standard deviation of 0.22%. Are the mean rates different between credit unions
And banks? Relevant output is shown below. Which of the following is true? $\begin{array} { l r r r r } \text { Sample } & \mathbb { N } & \text { Mean } & \text { StDev } & \text { SE Mean } \\ 1 & 12 & 6.650 & 0.390 & 0.11 \\ 2 & 16 & 7.050 & 0.220 & 0.055 \end{array}$
Difference $= m u ( 1 ) = m u$ (2)
Bstimate for difference: $\quad - 0.400$
95 옿 CI for difference: $( - 0.666 , - 0.134 )$
T-Test of difference $= 0$ (vs not $= ) :$ T-Value $= - 3.19$ P-Value $= 0.006 \quad$ DF $= 16$

A) This is a paired design.
B) This is a test of two means from independent samples.
C) This is a one tailed test.
D) Both A and C.