The following data represent the muzzle velocity (in feet per second) of rounds fired from a 15.6-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Observation 1 2 3 4 5 6 A 793.9 793.4 793.7 791.4 790.6 790.7 B 794.2 788.9 798.1 789.3 796.8 787.8 (a) Why are these matched-pairs data? A. The same round was fired in every trial. B. Two measurements (A and B) are taken on the same round. C. All the measurements came from rounds fired from the same gun. D. The measurements (A and B) are taken by the same instrument. (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 d = A - B. Identify the null and alternative hypotheses. H0: mu_d = 0 Ha: mu_d ? 0 Determine the test statistic for this hypothesis test. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
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For each round, two measurements (A and B) were recorded using two different measuring devices. This setup indicates that the data is matched-pairs data because each observation has two corresponding measurements from the same round. Show more…
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