Given the following statistics, calculate the lower bound (value) for the 99% Confidence Interval for true average apple consumption (A): (3 significant digits in final answer, use statistics table below)

Abar = 7.2 sd(A)= 1.9 N=784

Answer:

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Standard Normal Distribution Table shows P(0s7sz") #0.01 +0.02 +0.03 +0.04 40.05 +0.06 +0.07 40.08 +0.09 0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1480 0.1517 0.3 0.1443 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 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 0.4909 0.4911 0.4913 0.4916 2.3 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 3 es are ESTIMATEDT Distribution Chi- Square Distribution Table shows the t* for which Postst")=p Table shows the x2" for which P(0s x2 5x2 ")=p DEGREES DEG.of Of FREEDOM P=0.95 P=0.975 P=0.99 P=0.995 Freedom P=0.45 P 0.475 P 0.49 P 0.495 1 3.84 5.02 6.63 7.87 1 6.31 12.70 31.82 63.65 2 5.99 7.37 9.21 10.6 2 2.92 4.30 6.96 9.92 3 7.81 9.34 11.3 12.8 W 2.35 3.18 4.54 5.84 4 9.48 11.1 13.3 14.9 4 2.13 2.77 3.74 4.60 5 11.1 12.8 15.1 16.7 5 2.01 2.57 3.36 4.03 6 12.6 14.4 16.8 18.5 6 1.94 2.44 3.14 3.70 7 14.1 16.0 18.5 20.3 7 1.89 2.36 2.99 3.49 8 15.5 17.5 20.1 22.0 8 1.86 2.30 2.89 3.35 9 16.9 19.0 21.7 23.6 9 1.83 2.26 2.82 3.25 10 18.3 20.5 23.2 25.2 10 1.81 2.22 2.76 3.16 11 19.7 21.9 24.7 26.8 11 1.79 2.20 2.71 3.10 12 21.0 23.3 26.2 28.3 12 1.78 2.17 2.68 3.05 13 22.4 24.7 27.7 29.8 13 1.77 2.16 2.65 3.01 14 23.7 26.1 29.1 31.3 14 1.76 2.14 2.62 2.97 15 25.0 27.5 30.6 32.8 15 1.75 2.13 2.60 2.94 16 26.3 28.8 32.0 34.3 16 1.74 2.12 2.68 2.92 17 27.6 30.2 33.4 35.7 17 1.74 2.11 2.56 2.89 18 28. 31.5 34.8 37.2 18 1.73 2.10 2.55 2.87 19 30.1 32.5 36.2 38.6 19 1.72 2.09 2.53 2.86 20 314 34.2 37.6 40.0 20 1.72 2.08 2.52 2.84 21 32.7 35.5 38.9 41.4 21 1.72 2.08 2.51 2.83 22 33.9 36. 40.3 42.8 22 1.71 2.07 2.50 2.81 23 35.2 38.1 41.6 44.2 23 1.71 2.06 2.50 2.80 24 36.4 39.4 43.0 45.6 24 1.71 2.06 2.49 2.79 25 37.7 40.6 44.3 46.9 25 1.70 2.06 2.48 2.78 26 38.5 41.9 45.6 48.3 26 1.70 2.05 2.47 2.77 27 40.1 43.2 47.0 49.6 27 1.70 2.05 2.47 2.77 28 41.3 44.5 48.3 51.0 28 1.70 2.04 2.46 2.76 29 42.6 45.7 49.6 52.3 29 1.69 2.04 2.46 2.75 30 43.8 47.0 50.9 53.7 30 1.69 2.04 2.45 2.75 40 55.8 59.3 63.7 66.8 40 1.68 2.02 2.42 2.70 50 67.5 71.4 76.2 79.5 60 1.67 2.00 2.39 2.66 60 79.1 83.3 88.4 92.0 120 1.65 1.97 2.35 2.61 70 90 95.0 100 104 500 1.64 1.96 23 2.5 102 107 112 116 Both tables are ESTIMATED using Shacam 90 113 118 124 128 100 124 130 136 140