The following display from a TI-84 Plus calculator presents a $95 \%$ confidence interval for the difference between two means. The sample sizes are $n _ { 1 } = 13$ and $n _ { 2 } = 8$.

Fill in the blanks: We are 95% confident that the difference between the means is between _________ and _________.
A) 22.420, 26.525
B) 110.794, 160.497
C) 0, 13.038055
D) -71.757, -27.649

Question

The following display from a TI-84 Plus calculator presents a $95 \%$ confidence interval for the difference between two means. The sample sizes are $n _ { 1 } = 13$ and $n _ { 2 } = 8$.

Fill in the blanks: We are 95% confident that the difference between the means is between _________ and _________.
A) 22.420, 26.525 
B) 110.794, 160.497 
C) 0, 13.038055 
D) -71.757, -27.649

Quizplus · Accepted Answer

The confidence interval is given as (-71.757, -27.649) which represents the range of values within which we can be 95% confident that the true difference in means lies. Therefore, the correct choice is D.

The Following Display from a TI-84 Plus Calculator Presents A 95