Construct a 99 confidence interval about the population mean difference statistics homework help

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

                         793.4    793.7    793.4    790.1      794.3   790.8

                         800.0    796.1   792.6      786.4    799.9    795.2

​(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

 

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