An interval estimate for the average number of first year students at UQ in Semester 1 of 2019 was reported to be 33112 to 36775 students. This interval estimate was based on a sample of 47 students. The variance of the student population was determined from previous studies to be 44885212 students squared. What level of confidence can be attributed to this interval estimate? State your answer as a percentage, correct to the nearest whole number.
TABLE A.5 Areas of the standard normal distribution/ = 0, o=1 The entries in this table are the probabilities that a standard normal random variable is between 0 and z1 (the shaded area). 0 21 0.00 0.01 0.02 0.03 0.04 0.05 .06 0.07 0.08 0.09 Z1 0.0 0000 0040 0080 0120 0160 0199 0239 0279 0319 0359 0.1 0398 0438 .0478 0517 0557 0596 0636 0675 0714 0753 0.2 0793 0832 0871 0910 0948 098 1026 . 1064 .1103 1141 0.3 1179 1217 1255 1293 .1331 .1368 1406 .1443 . 1480 1517 0.4 1554 1591 . 1628 1664 1700 .1736 1772 . 1808 . 1844 .1879 0.5 1915 . 1950 . 1985 .2019 2054 .2088 .2123 .2157 .2190 2224 0.6 2257 .2291 .2324 .2357 2389 .2422 .2454 .2486 .2517 .2549 0.7 .2580 2611 .2642 .2673 2704 .2734 2764 .2794 .2823 2852 0.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 3078 3106 .3133 0.9 .3159 .3186 .3212 .3238 3264 .3289 .3315 .3340 .3365 .3389 1.0 3413 3438 .346 .3485 3508 3531 .3554 3577 .3599 3621 1.1 3643 3665 3686 .3708 3729 374 3770 3790 .3810 .3830 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 3997 4015 1.2 1.3 .4032 .4049 4066 .4082 .4099 4115 .4131 .4147 .4162 .4177 1.4 4192 .4207 4222 4236 4251 4265 .4279 .4292 .430 .4319 1.5 4332 .4345 4357 .4370 4382 .4394 4406 4418 .4429 4441 1.6 4452 4463 4474 4484 4495 .4505 .4515 4525 4535 4545 1.7 .4554 4564 4573 4582 4591 .4599 .4608 4616 1625 4633 1.8 .4641 4649 .4656 4664 4671 .4678 4686 4693 4699 4706 1.9 4713 4719 4726 4732 4738 .4744 4750 4756 4761 4767 2.0 4772 4778 4783 1788 4793 4798 4803 4808 4812 4817 2.1 4821 4826 4830 1834 4838 .4842 4846 4850 4854 4857 2.2 4861 4864 4868 1871 4875 4878 .4881 4884 4887 4890 2.3 4893 4896 4898 1901 4904 4906 4909 4911 4913 4916 2.4 4918 4920 4922 1925 4927 4929 .4931 4932 4934 4936 2.5 4938 4940 4941 1943 4945 4946 .4948 4949 4951 4952 2.6 4953 4955 4956 .4957 4959 4960 .4961 4962 4963 4964 2.7 4965 4966 4967 1968 4969 4970 4971 4972 4973 4974 2.8 4974 4975 4976 4977 4977 4978 4979 4979 4980 4981 2.9 1981 4982 4982 1983 4984 1984 . 4985 4985 4986 4986 3.0 4987 4987 4987 4988 4988 4989 4989 4989 1990 4990 3.1 4990 4991 4991 1991 4992 4992 4992 4992 4993 4993 3.2 4993 4993 4994 4994 4994 4994 4994 4995 4995 4995 3.3 4995 4995 4995 4996 4996 4996 4996 4996 4996 4997 3.4 4997 4997 . 4997 4997 4997 4997 4997 .4997 4997 4998 3.5 4998 4.0 49997 4.5 499997 5.0 4999997 6.0 . 499999999 768 Appendix
