The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. $$\begin{array} { l l l }
& \text { Sample 1 } & \text { Sample 2 } \
\text { Sample Mean } & 45 & 42 \
\text { Sample Variance } & 85 & 90 \
\text { Sample Size } & 10 & 12
\end{array}$$
The 95% confidence interval for the difference between the two population means is (use rounded standard error)
A) -5.344 to 11.344.
B) -5 to 3.
C) -4.86 to 10.86.
D) -2.65 to 8.65.

Question

The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. $$\begin{array} { l l l } 
& \text { Sample 1 } & \text { Sample 2 } \
\text { Sample Mean } & 45 & 42 \
\text { Sample Variance } & 85 & 90 \
\text { Sample Size } & 10 & 12
\end{array}$$  
The 95% confidence interval for the difference between the two population means is (use rounded standard error)
A) -5.344 to 11.344.
B) -5 to 3.
C) -4.86 to 10.86.
D) -2.65 to 8.65.

Quizplus · Accepted Answer

The correct answer is A because the 95% confidence interval for the difference between the two population means is (-5.344, 11.344).

The Following Information Was Obtained from Independent Random Samples Taken