Question 10, 11.2.7 HW Score: 65.02%, 13 of 20 points Part 3 of 9 ' (9 Points: 0.36 of 1 The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155mm gun. For each round, two measurements of the velocity were recorded using two different measuring devicesI resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 :I A 791.4 ?90.2 T94 .8 T94 .? ?93.4 ?91.2 B 79?.5 ?85.3 ?99.6 ?93.2 ?93.5 ?89.9 at Click the icon to view the table of critical tvalues. {a} Why are these matchedpairs data? The same round was red in every trial. All the measurements came from rounds red from the same gun. The measurements (A and B} are taken by the same instrument. V Two measurements (A and B) are taken on the Qme round. {b} Is there a difference in the measurement of the muzzle velocity between device A and device B at the or = 0.01 level of signicance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Let di =Ai Bi' Identify the null and alternative hypotheses. Determine the test statistic for this hypothesis test. to = (Round to two decimal places as needed.) All the mrassuramante came from munds fired from the same aun - X Table of Critical t-Values Area in right tad -Distribution Area in Right Tail Degrees of Freedom 11.25 11.20 1415 11,017 4015 1.DOD 1.370 3.108 6.314 12.706 15 874 12421 318309 136.619 1.401 2.920 4.303 14.030 22.327 31.509 0.765 3.182 3.482 4.541 5241 10.215 12.924 0.741 2132 2.T16 4.614 2173 0.727 1.153 2.015 2.571 275 4.062 0.718 1.134 1410 1043 2447 2612 3.143 B.707 4317 5.208 0.711 1.119 1.805 2.365 257 4021 4.785 5-408 0.705 1.103 L397 1.860 2306 4.501 0.702 1.100 1 817 2.262 2398 2821 107 4.781 0 700 LIT 2.228 2.359 2764 3.169 3.581 1587 1363 1.706 2.3011 2.32 Z.TIR 3.106 340T 4.437 0605 1.742 2.179 2.303 2.641 3.055 343 3.930 4.315 1350 2.160 2.287 2.630 3.012 3 372 4.221 0602 1.074 1345 1.751 2.145 2.264 2 624 2. 077 33M 3.THT 15 1.074 1341 1.753 2.131 2.24 204 3.733 40T3 4015 16 0.605 101 1357 1.746 2.120 2.235 3.252 17 1.740 2.110 2.224 2507 2. 808 3221 3.640 1320 1.734 2.101 2552 2.878 3.197 3.610 3012 19 1928 1.720 2.205 2 539 2.861 3.174 3.570 20 1.064 1325 1.725 2.080 2.197 2.528 2845 3.153 3.552 3.850 21 0.686 0.851 L323 1.721 2080 2.189 2.518 2.83 3.135 3.527 3.819 23 1.717 2074 2183 2.819 3.119 3.505 3.79 21 0685 1319 1.714 2069 2177 2. 807 3.104 3.485 3.706 24 0685 0.857 1059 1318 1.71 2064 2172 2.403 3.797 3.467 25 0.684 1316 1708 2060 2 167 2.485 3.450 26 SHE I 1.706 2.068 2.162 24TU 2.770 3.435 3.707 684 1.057 1. 706 247. 2.771 3067 3.421 3160 27 1313 1.701 2.048 2154 2.467 2.7653 3047 HOPE 3.674 29 DH54 1.065 TIET 2.045 2150 2452 3.650 OIE 1 2042 2147 2457 2.750 SHE'E 31646 0.853 1064 1309 1.696 2144 2450 2.714 3.475 3.632 1.064 1.694 2.007 2.141 2.449 2.738 3.365 3.622 1.062 1308 1.692 2035 2.138 2445 2.723 4.611 34 1852 1.062 1307 1.691 2.032 2.135 2441 3.601 0682 185 1306 2.030 2.133 1.724 3.373 36 0 852 2.131 2719 37 1 305 2.129 241 2.715 2035 3.574 1.051 2074 2.127 2.470 2712 2090 3.319 30 1 304 20123 2 976 3.313 1 303 2.07 2.123 247 3.55 0.679 15419 1.047 1 240 1.676 2009 2.109 2.40G 2.67% 2 053 3.361 3.406 0679 0.545 1045 1205 1.67 2000 2092 2.34 2015 3.232 3.460 70 0672 0847 1204 1.657 1074 2001 IFEZ 3.211 3435 1.043 120 1091 3.105 3.416 0675 0677 1291 1.052 2.38 2HT. 3.183 3.402 100 0.677 0.845 1012 1290 1.650 2081 2.625 3.174 0.675 0812 1282 1.6-16 2 340 2813 9.300 1/035 1.615 1.950 2054 2.575 3291 0671 0812 Degrees of 0.25 0.20 1415 0125 01,01 0,005 Freedom r-Distribution Area in Right Tail Print Done
