The following data represent the muzzle velocity​ (in feet per​ second) of shells fired from a​ 155-mm gun. For each​ shell, two measurements of the velocity were recorded using two different measuring​ devices, resulting in the following data.

Observation        1           2            3         4          5            6

                         793.8    792.5    793.1  793.8 790.8   790.3

                         802.5    799.8    802.5  796.2  791.9    787.1

​(a) Construct a​ 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results.

The confidence interval is (_, _) 

(Round to three decimal places as needed.)

Choose the statement that best agrees with your interpretion of your results.

A) I am​ _% confident that the mean difference in measurement lies in the interval found above.

B) I am​ _% confident that the mean difference in measurement lies in the interval found above.

C) I am _​% confident that the mean difference in measurement is 0.

D) I am _% confident that the mean difference in measurement is 0.01