H Muzzle Velocities X Full Data Set Observation 2 3 4 5 6 A 793.9 792.6 791.8 794.3 791.3 791.8 B 793.1 793.1 791.6 793.8 791.1 791.4 Observation 7 8 9 10 11 12 A 791.4 792.8 790.3 793.9 791.6 794.1 B 790.8 793.3 789.5 794.1 792.0 794.4 Print Done(d) Draw a boxplot of the differenced data. Choose the correct boxplot below. O A. O B. -04 02 0 02 04 06 -0.5 0.5 A-B A-B O C. OD. -0.3 0 03 06 09 12 -1 -0.5 0.5 A-B A-B Does this visual evidence support the results obtained in (b)? O Yes O No 1 Muzzle. Velocities. The accompanying 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, with the accompanying data obtained. Complete parts (a) through (d) below. Click the icon to view the muzzle velocities. (a) Why are these matched-pairs data? O A. The measurements (A and B) are taken by the same instrument. O B. Two measurements (A and B) are taken on the same round. O C. All the measurements came from rounds fired from the same gun. O D. The same bullet was fired in every round (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 that a normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Identify the null and alternative hypotheses. Let di = A; - B,. Choose the correct answer below. O A. Ho: Hd 0 OB. Ho: Hd = 0 O C. Ho: Hu >0 Hy : HJ >O Hy : Ha $0 O D. Ho: Hd # 0 O E. Ho: Hd = 0 OF. Ho: Ha = 0 Hy: Hy = 0 Hy : H g >0 Compute the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject the null hypothesis. There is not sufficient evidence that there is a difference in the measurements of velocity between device A and device B O B. Reject the null hypothesis. There is not sufficient evidence that there is a difference in the measurements of velocity between device A and device B. O C. Reject hypothesis. There is sufficient evidence that there is a difference in the measurements of velocity between device A and device B O D. Do not reject the null hypothesis. There is sufficient evidence 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. Interpret the results. (Round to three decimal places as needed.) Choose the correct interpretation below. O A. We are 99% confident that the mean difference in measurement is between the two values above. O B. We are 99% confident that the mean sample difference in measurement is between the two values above. O C. We are 99% confident that the difference in measurement for a random firing is between the two values above. O D. We are 99% confident that the mean difference in measurement is one of the differences in the data set
