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# Exam 2 A - STA 3024 Introduction to Statistics 2 Exam 2...

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STA 3024 Introduction to Statistics 2 Exam 2 Form A We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honesty and integrity. Name UFID# Signature Some formulas which you might find useful are Expected cell count = (Row total)(Column total) Total sample size χ 2 = X all cells (Observed count - Expected count) 2 Expected count df = ( r - 1)( c - 1) One-Way ANOVA SS Tot = g X i =1 n i X j =1 ( Y ij - ¯ Y •• ) 2 SS G = g X i =1 n i ( ¯ Y i - ¯ Y •• ) 2 SS E = g X i =1 n i X j =1 ( Y ij - ¯ Y i ) 2 df Tot = N - 1 df G = g - 1 df E = N - g CI for μ k - μ l : ( ¯ Y k - ¯ Y l ) ± ( t -score) s MS E 1 n k + 1 n l Two-Way ANOVA df Tot = N - 1 df A = a - 1 df B = b - 1 df AB = ( a - 1)( b - 1) df E = N - ab

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Chi-Squared Table Right-Tail Probability df 0.250 0.100 0.050 0.025 0.010 0.005 0.001 1 1.32 2.71 3.84 5.02 6.63 7.88 10.83 2 2.77 4.61 5.99 7.38 9.21 10.60 13.82 3 4.11 6.25 7.81 9.35 11.34 12.84 16.27 4 5.39 7.78 9.49 11.14 13.28 14.86 18.47 5 6.63 9.24 11.07 12.83 15.09 16.75 20.52 6 7.84 10.64 12.59 14.45 16.81 18.55 22.46 7 9.04 12.02 14.07 16.01 18.48 20.28 24.32 8 10.22 13.36 15.51 17.53 20.09 21.95 26.12 9 11.39 14.68 16.92 19.02 21.67 23.59 27.88 10 12.55 15.99 18.31 20.48 23.21 25.19 29.59 11 13.70 17.28 19.68 21.92 24.72 26.76 31.26 12 14.85 18.55 21.03 23.34 26.22 28.30 32.91 13 15.98 19.81 22.36 24.74 27.69 29.82 34.53 14 17.12 21.06 23.68 26.12 29.14 31.32 36.12 15 18.25 22.31 25.00 27.49 30.58 32.80 37.70 16 19.37 23.54 26.30 28.85 32.00 34.27 39.25 17 20.49 24.77 27.59 30.19 33.41 35.72 40.79 18 21.60 25.99 28.87 31.53 34.81 37.16 42.31 19 22.72 27.20 30.14 32.85 36.19 38.58 43.82 20 23.83 28.41 31.41 34.17 37.57 40.00 45.31 25 29.34 34.38 37.65 40.65 44.31 46.93 52.62 30 34.80 40.26 43.77 46.98 50.89 53.67 59.70 40 45.62 51.81 55.76 59.34 63.69 66.77 73.40 50 56.33 63.17 67.50 71.42 76.15 79.49 86.66 60 66.98 74.40 79.08 83.30 88.38 91.95 99.61 70 77.58 85.53 90.53 95.02 100.43 104.21 112.32 80 88.13 96.58 101.88 106.63 112.33 116.32 124.84 90 98.65 107.57 113.15 118.14 124.12 128.30 137.21 100 109.14 118.50 124.34 129.56 135.81 140.17 149.45
F Distribution Table Right-Tail Probability = 0.05 df 1 df 2 1 2 3 4 5 6 8 12 24 1 161.45 199.50 215.71 224.58 230.16 233.99 238.88 243.91 249.05 254.31 2 18.51 19.00 19.16 19.25 19.30 19.33 19.37 19.41 19.45 19.50 3 10.13 9.55 9.28 9.12 9.01 8.94 8.85 8.74 8.64 8.53 4 7.71 6.94 6.59 6.39 6.26 6.16 6.04 5.91 5.77 5.63 5 6.61 5.79 5.41 5.19 5.05 4.95 4.82 4.68 4.53 4.37 6 5.99 5.14 4.76 4.53 4.39 4.28 4.15 4.00 3.84 3.67 7 5.59 4.74 4.35 4.12 3.97 3.87 3.73 3.57 3.41 3.23 8 5.32 4.46 4.07 3.84 3.69 3.58 3.44 3.28 3.12 2.93 9 5.12 4.26 3.86 3.63 3.48 3.37 3.23 3.07 2.90 2.71 10 4.96 4.10 3.71 3.48 3.33 3.22 3.07 2.91 2.74 2.54 11 4.84 3.98 3.59 3.36 3.20 3.09 2.95 2.79 2.61 2.40 12 4.75 3.89 3.49 3.26 3.11 3.00 2.85 2.69 2.51 2.30 13 4.67 3.81 3.41 3.18 3.03 2.92 2.77 2.60 2.42 2.21 14 4.60 3.74 3.34 3.11 2.96 2.85 2.70 2.53 2.35 2.13 15 4.54 3.68 3.29 3.06 2.90 2.79 2.64 2.48 2.29 2.07 16 4.49 3.63 3.24 3.01 2.85 2.74 2.59 2.42 2.24 2.01 17 4.45 3.59 3.20 2.96 2.81 2.70 2.55 2.38 2.19 1.96 18 4.41 3.55 3.16 2.93 2.77 2.66 2.51 2.34 2.15 1.92 19 4.38 3.52 3.13 2.90 2.74 2.63 2.48 2.31 2.11 1.88 20 4.35 3.49 3.10 2.87 2.71 2.60 2.45 2.28 2.08 1.84 21 4.32 3.47 3.07 2.84 2.68 2.57 2.42 2.25 2.05 1.81 22 4.30 3.44 3.05 2.82 2.66 2.55 2.40 2.23 2.03 1.78 23 4.28 3.42 3.03 2.80 2.64 2.53 2.37 2.20 2.01 1.76 24 4.26 3.40 3.01 2.78 2.62 2.51 2.36 2.18 1.98 1.73 25 4.24 3.39 2.99 2.76 2.60 2.49 2.34 2.16 1.96 1.71 26 4.23 3.37 2.98 2.74 2.59 2.47 2.32 2.15 1.95 1.69 27 4.21 3.35 2.96 2.73 2.57 2.46 2.31 2.13 1.93 1.67 28 4.20 3.34 2.95 2.71 2.56 2.45 2.29 2.12 1.91 1.65 29 4.18 3.33 2.93 2.70 2.55 2.43 2.28 2.10 1.90 1.64 30 4.17 3.32 2.92 2.69 2.53 2.42 2.27 2.09 1.89 1.62 40 4.08 3.23 2.84 2.61 2.45 2.34 2.18 2.00 1.79 1.51 60 4.00 3.15 2.76 2.53 2.37 2.25 2.10 1.92 1.70 1.39 120 3.92 3.07 2.68 2.45 2.29 2.18 2.02 1.83 1.61 1.25 3.84 3.00 2.60 2.37 2.21 2.10 1.94 1.75 1.52 1.00

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t Distribution Table Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 0.100 0.050 0.025 0.010 0.005 0.001 1 3.078 6.314 12.706 31.821 63.657 318.309 2 1.886 2.920 4.303 6.965 9.925 22.327 3 1.638 2.353 3.182 4.541 5.841 10.215 4 1.533 2.132 2.776 3.747 4.604 7.173 5 1.476 2.015 2.571 3.365 4.032 5.893 6 1.440 1.943 2.447 3.143 3.707 5.208 7 1.415 1.895 2.365 2.998 3.499 4.785 8 1.397 1.860 2.306 2.896 3.355 4.501 9 1.383 1.833 2.262 2.821 3.250 4.297 10 1.372 1.812 2.228 2.764 3.169 4.144 11 1.363 1.796 2.201 2.718 3.106 4.025 12 1.356 1.782 2.179 2.681 3.055 3.930 13 1.350 1.771 2.160 2.650 3.012 3.852 14 1.345 1.761 2.145 2.624 2.977 3.787 15 1.341 1.753 2.131 2.602 2.947 3.733 16 1.337 1.746 2.120 2.583 2.921 3.686 17 1.333 1.740 2.110 2.567 2.898 3.646 18 1.330 1.734 2.101 2.552 2.878 3.610 19 1.328 1.729 2.093 2.539 2.861 3.579 20 1.325 1.725 2.086 2.528 2.845 3.552 21 1.323 1.721 2.080 2.518 2.831 3.527 22 1.321 1.717 2.074 2.508 2.819 3.505 23 1.319 1.714 2.069 2.500 2.807 3.485 24 1.318 1.711 2.064 2.492 2.797 3.467 25 1.316 1.708 2.060 2.485 2.787 3.450 26 1.315 1.706 2.056 2.479 2.779 3.435 27 1.314 1.703 2.052 2.473 2.771 3.421 28 1.313 1.701 2.048 2.467 2.763 3.408 29 1.311 1.699 2.045 2.462 2.756 3.396 30 1.310 1.697 2.042 2.457 2.750 3.385 40 1.303 1.684 2.021 2.423 2.704 3.307 50 1.299 1.676 2.009 2.403 2.678 3.261 60 1.296 1.671 2.000 2.390 2.660 3.232 80 1.292 1.664 1.990 2.374 2.639 3.195 100 1.290 1.660 1.984 2.364 2.626 3.174 1.282 1.645 1.960 2.326 2.576 3.090
z Distribution Table z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154

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