TABLE 5: Student's -Distribution (Values of fa,v) 04 10.10, 0.05, 0.025, 0.01, 10.005, 12345 3.078 6.314 12.706 31.821 63.657 1 2 1.886 2.920 4.303 6.965 9.925 3 1.638 2.353 3.182 4.541 5.841 23 1.533 2.132 2.776 3.747 4.604 4 1.476 2.015 2.571 3.365 4.032 5 9 68210 1.440 1.943 2.447 3.143 3.707 7 1.415 1.895 2.365 2.998 3.499 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 9 10 1.372 1.812 2.228 2.764 3.169 68110 7 10 11 1.363 1.796 2.201 2.718 3.106 11 12 1.356 1.782 2.179 2.681 3.055 13 1.350 1.771 2.160 2.650 3.012 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 16 17 1.333 1.740 2.110 2.567 2.898 17 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 19 29 222222 22228 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24 1.318 1.711 2.064 2.492 2.797 24 25 1.316 1.798 2.060 2.485 2.787 25 27 26 1.315 1.706 2.056 2.479 1.314 1.703 2.052 1.313 1.701 2.048 1.311 1.699 2.045 2.462 2.756 29 1.282 1.645 1.960 2.326 2.576 2.779 26 2.473 2.771 27 2.467 2.763 2345 62822 22222 22228 12 13 14 15 18 23 1. A race team is trying to measure the torsional stiffness of their chassis by measuring the deflection given a known identical input force. The sample set they collected from 11 tests is listed below (in mm): 4.79 4.92 4.58 4.93 4.95 4.31 4.72 4.09 4.86 4.48 4.21 5.12 If the team is to collect another measurement, estimate the probability that the next measurement will fall within the range of [4.31 mm, 5.1 mm] based on the sample set. 2. Metal balls provided by a company have an average diameter of 6.000 mm and a tolerance of 0.200 mm with a 95% confidence. What is the probability that the diameter of a metal ball is above 6.050 mm? Assessing and Presenting Experimental Data TABLE 2: Areas under the Standard Normal Curve z Second Decimal Place in z z 0.00 0.01 0.02 0.03 0.04 0.0 0.0000 0.0040 0.1 0.0398 0.0438 0.2 0.0793 0.0832 0.0080 0.0478 0.0871 0.3 0.1179 0.1217 0.4 0.1554 0.1591 0.5 0.1915 0.1950 0.6 0.2257 0.2389 0.7 0.2580 0.8 0.9 0.3159 0.3186 1.0 0.3413 0.3438 1.1 0.3643 0.3665 12 0.3849 0.3869 1.3 0.3461 0.3485 0.3686 0.3708 0.3907 0.4032 0.4049 0.4066 0.4082 1.4 0.4192 0.4236 0.3888 0.4207 0.4222 1.5 0.4332 0.4345 0.4357 0.4370 1.8 0.4452 0.4463 0.4474 0.4484 1.7 0.4554 0.4564 0.4573 0.4582 32 233 23 1.8 0.4641 0.4649 0.4656 0.4664 1.9 0.4713 0.4719 04726 0.4732 0.00 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.1628 0.1664 0.1700 0.1736 0.1772 0.1985 0.2019 0.2054 0.2291 0.2324 0.2357 0.2611 0.2642 0.2673 0.2704 0.2881 0.2910 0.2939 0.2967 0.2995 0.3212 0.3238 0.3264 0.3508 03729 0.3749 0.3770 0.3790 0.3925 03944 0.3962 0.4099 0.4115 0.4131 0.4251 0.4265 0.4279 0.4382 0.4394 0.4406 0.4418 0.4429 0.4495 0.4505 0.4515 0.4525 0.4535 0.4591 0.4599 04608 0.4616 04625 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 0.4738 0.4744 0.4750 04756 0.4761 0.4767 0.05 0.06 0.07 0.09 0.1808 0.1844 0.1879 0.2088 0.2422 0.2454 0.2123 0.2157 0.2190 0.2224 0.2486 0.2517 0.2549 0.2734 0.2764 0.3023 0.3051 0.3289 0.3315 0.3340 0.2794 0.2823 0.2852 0.3078 0.3106 0.3133 0.3365 0.3389 0.3531 0.3154 0.3577 03599 0.3621 0.3810 0.3830 0.3980 0.3997 0.4015 04147 0.4162 0.4177 0.4292 0.4306 0.4319 0.4441 0.4545 0.4633 2.0 0.4772 0.4778 0.4783 0.4788 2.1 0.4834 2.2 2.4 2.5 0.4938 0.4940 0.4941 0.4943 2.6 0.4953 0.4955 0.4956 0.4957 2.7 0.4965 0.4966 0.4967 0.4968 2.8 0.4974 0.4975 0.4976 0.4977 2.9 0.4981 0.4982 0.4982 0.4983 3.2 3.3 3.4 3.0 3.1 0.4990 0.4993 0.4995 0.4997 0.4987 0.4987 0.4987 3.5 0.5000* 0.4988 0.4991 0.4991 0.4991 0.4992 0.4993 0.4994 0.4994 0.4994 0.4995 0.4995 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 3.6 0.4998 0.4998 0.4999 0.4999 0.4999 3.7 0.4999 0.4999 0.4999 3.8 0.4999 0.4999 0.4999 3.9 0.4988 0.4999 0.4999 0.4997 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4911 0.4913 0.4916 0.4929 0.4931 0.4932 0.4934 0.4936 0.4946 0.4948 0.4949 0.4951 0.4952 0.4960 0.4961 0.4962 0.4963 0.4964 0.4970 0.4971 0.4972 0.4973 0.4974 0.4978 0.4979 0.4979 0.4980 0.4981 0.4984 0.4985 0.4985 0.4986 0.4986 0.4989 0.4989 0.4989 0.4990 0.4990 0.4992 0.4992 0.4992 0.4993 0.4993 0.4994 0.4994 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 *For z 3.90. the areas are 0.5000 to four decimal places. 0.4909 0.4821 0.4826 0.4830 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4918 0.4920 0.4922 0.4925 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4793 0.4798 0.4803 04808 0.4812 0.4817 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857