The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 A B 2 3 4 56 794.3 794.8 792.1 792.5 792.7 791.2 804.0 790.0 800.7 788.8 792.9 787.0 (a) Why are these matched-pairs data? OA. The measurements (A and B) are taken by the same instrument. B. Two measurements (A and B) are taken on the same round. OC. The same round was fired in every trial. OD. All the measurements came from rounds fired from the same gun. (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a=0.01 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let d₁ = A, B, Identify the null and alternative hypotheses. Ho Hd H₁ Hd Determine the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) What is your conclusion regarding Ho? Ho. There sufficient evidence at the a=0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B. (c) Construct a 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results. The lower bound is The upper bound is [ (Round to two decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. OA. One can be 99% confident that the mean difference in measurement lies in the interval found above. B. One can be 99% confident that the mean difference in measurement is 0.01. C. One can be 1% confident that the mean difference in measurement lies in the interval found above. D. One can be 99% confident that the mean difference in measurement is 0. d) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (b)? OA. OB. -12-10-8-6-4-20 Differences O c. -12-10-8-6-4-20 Differences Does this visual evidence support the results obtained in part (b)? OA. No, because 0 is not contained in the boxplot. OB. No, because the boxplot is too large. C. Yes, because 0 is contained in the boxplot. OD. Yes, because the boxplot shows no outliers. -12-10 -8 -6 Differences -12-10 8 6 4 2 0 2 4 Differences