The following MINITAB output display presents a 95% confidence interval for the difference between two means.
$\begin{array} { l r r r r r }
& \mathrm { N } & \text { Mean } & \text { StDev } & \text { SE Mean } & \
\text { A } & 15 & 144.384 & 25.413 & 6.562 & \
\text { B } & 9 & 168.966 & 22.669 & 7.556 & \
\text { Difference } = \text { mu (A) } & - \text { mu (B) } & & & \
\text { Estimate for difference: } & - 24.582 & & & \
\text { 95\% CI for difference: } & ( - 44.197 , - 4.967 ) & & \text { DF } = 19
\end{array}$
Fill in the blanks: We are 95% confident that the difference in the means is between ______
And ______.
A) 9, 15
B) 144.384, 168.966
C) 0, 19
D) -44.197, -4.967

Question

The following MINITAB output display presents a 95% confidence interval for the difference between two means. 
$\begin{array} { l r r r r r } 
& \mathrm { N } & \text { Mean } & \text { StDev } & \text { SE Mean } & \
\text { A } & 15 & 144.384 & 25.413 & 6.562 & \
\text { B } & 9 & 168.966 & 22.669 & 7.556 & \
\text { Difference } = \text { mu (A) } & - \text { mu (B) } & & & \
\text { Estimate for difference: } & - 24.582 & & & \
\text { 95\% CI for difference: } & ( - 44.197 , - 4.967 ) & & \text { DF } = 19
\end{array}$
 Fill in the blanks: We are 95% confident that the difference in the means is between ______
And ______.
A) 9, 15
B) 144.384, 168.966
C) 0, 19
D) -44.197, -4.967

Quizplus · Accepted Answer

The 95% confidence interval for the difference between two means is given as (-44.197, -4.967). This means that we can be 95% confident that the true difference between the means falls between these two values. Therefore, the correct answer is Option D, which represents the lower and upper bounds of the confidence interval. Options A, B, and C are all irrelevant in this context.

The Following MINITAB Output Display Presents a 95% Confidence Interval