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Table II Normal Curve Areas 0 Z N .00 .01 .02 03 .04 .05 .06 07 .08 09 .0000 0040 .0080 0120 .0160 0199 .0239 0279 .0319 0359 .0398 .0438 .0478 0517 .0557 0596 .0636 0675 .0714 .0793 0753 .0832 .0871 0910 0948 0987 .1026 1064 .1179 .1103 .1217 .1141 .1255 .1293 .1331 .1368 .1406 1443 .1554 .1480 .1591 .1517 .1628 .1664 1700 .1736 .1772 .1808 .1844 .1915 1879 .1950 .1985 2019 .2054 .2088 .2123 .2157 .2190 .2224 .2257 2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2881 .2823 .2852 .2910 .2939 .2967 .2995 3023 .3051 3078 .3159 .3133 3186 .3106 .3212 .3238 .3264 3289 .3315 .3340 .3365 3389 .3413 .3438 .3461 .3485 .3508 3531 .3554 .3577 .3599 3621 .3643 .3665 .3686 3708 .3729 .3749 3770 .3790 .3810 3830 .3849 3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 4015 4032 .4049 4066 4082 4099 4115 .4131 4147 1.4 4162 4177 .4192 4207 4222 4236 1.5 4251 4265 .4279 4292 .4306 .4332 .4319 4345 4357 .4370 4382 4394 .4406 4418 .4429 4441 1.6 .4452 .4463 .4474 .4484 .4495 4505 .4515 1.7 4525 4535 4545 .4554 .4564 .4573 4582 .4591 4599 1.8 .4608 .4616 4625 .4633 .4641 .4649 .4656 .4664 .4671 .4678 1.9 .4686 .4713 .4693 4699 .4719 .4726 .4706 4732 .4738 .4744 2.0 .4750 4756 .4772 4761 .4767 4778 4783 4788 4793 .4798 .4803 .4808 .4812 .4817 2.1 .4821 .4826 4830 .4834 4838 .4842 4846 .4850 2.2 4854 .4857 4861 4864 4868 4871 4875 .4878 4881 .4884 2.3 4887 4890 4893 4896 4898 4901 4904 .4906 4909 2.4 .4911 4913 4916 4918 4920 .4922 4925 .4927 .4929 2.5 4931 .4932 4934 .4936 .4938 .4940 .4941 .4943 4945 4946 .4948 .4949 4951 .4952 2.6 .4953 .4955 4956 4957 4959 .4960 4961 4962 2.7 4963 4965 4964 .4966 4967 4968 4969 .4970 .4971 4972 .4973 2.8 .4974 4974 4975 4976 4977 .4977 4978 .4979 4979 4980 4981 2.9 4981 4982 4982 4983 .4984 4984 .4985 .4985 4986 3.0 4986 .4987 4987 4987 4988 .4988 4989 .4989 4989 4990 4990Are student-athletes at Division Iuniversities poorer students than non-athletes? The National College Athlete Association (NCAA) measures the academic outcomes of student-athletes with the Graduation Success Rate (GSR) the percentage of eligible athletes who graduate within siX years of entering college. According to NCAA, the GSR for all scholarship athletes at Division I institutions is 63%. It is well known that the GSR for all students at Division I colleges is 60%. Suppose the NCAA report was based on a sample of 500 student-athletes, of which 315 graduated within six years. Is this sufcient information to conclude that the GSR for all scholarship athletes at Division I institutions differs from 60%? Test using a : .05. a. What is the parameter of interest? b. State the hypotheses. c. What test statistic will you use and why? Explain. (1. Calculate the value of the test statistic. e. Rejection region: f. Conclusion: g. Construct a 95% confidence interval for the parameter of interest and interpret your result. a 0 Degrees of Freedom 100 t.050 1 025 1010 1 005 1001 t.0005 3.078 6.314 12.706 31.821 63.657 318.31 636.62 1.886 2.920 4.303 6.965 9.925 22.326 31.598 1.638 2.353 3.182 4.541 5.841 10.213 12.924 1.533 2.132 2.776 3.747 4.604 7.173 8.610 1.476 2.015 2.571 3.365 4.032 5.893 6.869 1.440 1.943 2.447 3.143 3.707 5.208 5.959 1.415 1.895 2.365 2.998 3.499 4.785 5.408 1.397 1.860 2.306 2.896 3.355 4.501 5.041 1.383 1.833 2.262 2.82 3.250 4.297 4.781 1.372 1.812 2.228 2.764 3.169 4.144 4.587 1.363 1.796 2.201 2.718 3.106 4.025 4.437 1.356 1.782 2.179 2.681 3.055 3.930 4.318 1.350 1.771 2.160 2.650 3.012 3.852 4.221 1.345 1.761 2.145 2.624 2.977 3.787 4.140 1.341 1.753 2.131 2.602 2.947 3.733 4.073 1.337 1.746 2.120 2.583 2.921 3.686 4.015 1.333 1.740 2.110 2.567 2.898 3.646 3.965 1.330 1.734 2.101 2.552 2.878 3.610 3.922 1.328 1.729 2.093 2.539 2.861 3.579 3.883 1.325 1.725 2.086 2.528 2.845 3.552 3.850 1.323 1.721 2.080 2.518 2.831 3.527 3.819 1.321 1.717 2.074 2.508 2.819 3.505 3.792 1.319 1.714 2.069 2.500 2.807 3.485 3.767 1.318 1.711 2.064 2.492 2.797 3.467 3.745 1.316 1.708 2.060 2.485 2.787 3.450 3.725 1.315 1.706 2.056 2.479 2.779 3.435 3.707 1.314 1.703 2.052 2.473 2.771 3.421 3.690 1.313 1.701 2.048 2.467 2.763 3.408 3.674 1.311 1.699 2.045 2.462 2.756 3.396 3.659 1.310 1.697 2.042 2.457 2.750 3.385 3.646 1.303 1.684 2.021 2.423 2.704 3.307 3.551 1.296 1.671 2.000 2.390 2.660 3.232 3.460 1.289 1.658 1.980 2.358 2.617 3.160 3.373