Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. $$\begin{array} { c | c c c c c }
\text { A } & 5.8 & 6.8 & 8.7 & 5.7 & 5.8 \
\hline \text { B } & 8.2 & 7.1 & 7.0 & 6.9 & 8.3
\end{array}$$ Assume that the paired data came from a population that is normally distributed.
A) (-4.502, 2.622)
B) (-25.123, 5.761)
C) (-21.342, 18.982)
D) (-15.123, 15.123)

Question

Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. $$\begin{array} { c | c c c c c } 
\text { A } & 5.8 & 6.8 & 8.7 & 5.7 & 5.8 \
\hline \text { B } & 8.2 & 7.1 & 7.0 & 6.9 & 8.3
\end{array}$$ Assume that the paired data came from a population that is normally distributed.
A) (-4.502, 2.622)
B) (-25.123, 5.761)
C) (-21.342, 18.982)
D) (-15.123, 15.123)

Quizplus · Accepted Answer

To construct a 99% confidence interval for dependent data sets A and B, first, calculate the differences between each pair of observations. Then, find the mean and standard deviation of these differences. Finally, use the t-distribution with the appropriate degrees of freedom to calculate the confidence interval. The calculation based on the given data results in a 99% confidence interval of (-4.502, 2.622).

Construct a 99% Confidence Interval for Data Sets a and B