1 You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a random sample of 40 sophomores, what is the probability that the average gpa will be more than 2.9? a) b) c) d) .0057 .7257 .9943 .2743 Question 2 You happen to know that the average GPA for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. Amazingly, the GPAs are normally distributed. If you take a randomly chosen sophomore, what is the probability that her gpa will be less than 2.9? a) b) c) d) .0057 .3446 .9943 .6554 Question 3 A lumber manufacturer sells framing lumber. The length of their boards are normally distributed and average 8 ft long with a standard deviation of .04 ft. What are the odds that if you took a sample of 50 boards that their average would be less than 8.015 ft? a) b) c) d) .0040 2.66 .6462 .9960 Question 4 You happen to know that the average GPA (grade point average) for the 5,000 sophomores at USC is 2.8 with a population standard deviation of .25. If you take a sample of 30 sophomores, there is a ten percent chance the sample average will be less than what value? a) b) c) d) 2.48 2.742 1.282 2.858 shipment wts. 99.53 102.77 105.52 90.32 120.02 117.56 72.8 92.72 110.42 107.58 110.02 117.74 117.82 99.45 71.36 100.82 82.2 111.55 77.82 102.66 117.29 82.37 68.28 89.35 74.72 146.33 96.7 85.95 102.74 122.39 139.31 107.74 90.41 82.81 97.7 93.36 94.35 90.9 94.24 108.35 68.51 61.53 96.83 108.47 99.7 71.74 99.66 104.02 91.41 91.67 95.9 77.48 106.11 81.79 101.51 135.16 73.32 105.35 85.27 114.94 87.61 123.76 98.76 79.35 91.92 70.85 103.86 114.9 103.45 108.25 81.82 66.18 142.66 93.5 92.72 115.07 98.5 123.98 86.41 121.8 97.89 101.29 81 99.89 81.18 123.36 102.12 106.72 94.98 94.52 101.12 84.15 125.35 110.92 89.75 92.92 99.51 89 68.57 101.8 98.94 103.06 100.51 78.27 98.74 112.46 105.27 119.45 71.21 88.74 90.59 123.93 81.36 86.46 109.78 102.03 100.88 80.07 107.6 69.13 111.97 114.61 101.97 72.15 108.66 110.13 107.27 114.61 93.13 96.27 161.76 98.59 122.35 78.93 112.16 92.83 96.99 96.17 96.72 114.83 97.42 100.61 106.88 96.41 116.53 61.74 113.63 94.06 121.04 114.97 95.59 109.42 105.18 61.52 108.64 94.34 122.68 82.82 102.87 75.38 98.7 93.09 111.15 93.76 83.22 107.9 114.37 96.92 117.41 98.28 90.16 99.11 95.29 98.57 81.04 86.59 95.61 100.41 92.43 112.61 88.94 82.75 99.56 100.35 114.04 89.59 97.06 94.54 107.69 101.52 74.66 88.19 92.41 91.35 104.14 92.87 123.97 79.97 116.1 112.87 87.77 118.76 71.63 99 94.56 91.94 87.05 78.48 81.53 109.92 80.49 115.66 110.48 82.49 114.38 84.61 77.85 97.97 71.28 97.23 111.58 100.14 95.81 105.48 129.75 103.3 92.31 102.37 108.95 96.87 96.55 108.76 88.75 99.33 104.01 95.61 105.73 83.12 111.16 96.44 92.69 59.73 105.59 99.39 136.61 123.54 85.14 81.81 106.81 124.59 83.9 108 69.66 98.74 109.83 103.09 101.69 125.23 84.57 77.47 123.93 98.52 124.73 86.75 115.82 115.62 71.95 91.75 121.52 131.28 110.88 118.68 95.33 114.17 94.26 81.7 81.21 108.2 95.08 110.13 96.53 130.42 117 108.24 114.54 116.49 101.19 98.52 81.07 99.83 107.25 118.28 86.27 103.89 112.35 136.72 91.86 100.5 104.46 98.01 89.58 98.58 109.14 112.93 123.81 76.54 128.12 109.77 126.89 102.94 91.01 61.77 99.83 70.58 80.34 122.5 93.15 100.99 94.09 104.82 79.37 90.47 88.44 104.47 73.79 72.93 122.65 70.45 107.09 58.31 96.43 96.24 103.12 106.13 100.18 82.48 81.62 111.62 87.52 135.45 79.28 121.12 114.96 101.33 119.78 72.93 101.26 98.59 90.03 100.28 102.37 104.36 94.94 98.12 117.09 114.11 79.71 120.67 109 98.98 76.64 102.44 113.53 117.1 98.92 74.84 70.83 126.87 82.66 97.08 116.97 95.83 72.38 106.39 68.3 76.8 118.39 104.24 107.99 70.47 88.85 92.73 140.09 96.29 95.83 90.45 97.39 95.75 95.09 88.63 105.68 106.44 100.62 96.74 121.61 86.79 99.45 118.06 123.58 112.21 89.7 113.18 104.4 50.91 90.37 75.88 82.82 100.97 62.96 111.43 107.3 107.09 102.5 88.65 111 109.92 129.76 84.83 99.46 122.9 98.22 110.85 98.75 94.31 109.59 87.92 102.24 84.93 101.04 90.8 104.12 119.08 126.14 92.97 92.91 85.07 93.09 86.67 95.65 99.69 89.86 91.66 97.28 66.7 110.69 108.32 101.08 111.95 87.43 93.3 92.11 90.21 113.96 91.12 103.09 99.89 93.95 69.89 110 89.02 114 126.38 124.64 87.14 88.47 67.57 80.71 116.42 111.58 130.89 96.85 68.89 103.38 92.2 111.16 129.67 90.68 108.6 105.42 95.5 131.51 105.01 84.43 98.69 120.74 84.79 94.48 90.23 96.3 110.06 121.93 110.88 106.1 97.78 78.95 105.95 90.63 97.34 70.08 99.99 81.7 98.16 71.09 97.88 96.94 85.48 133.12 75.2 103.62 108.18 102.73 109.04 98.22 91.79 95.53 100.27 88.36 82.07 93.47 108.14 83.82 129.73 101.25 96.14 74.26 88 87.02 71.48 89.89 74.95 77.3 104.92 115.04 107.02 97.46 107.85 116.28 77.1 87.76 99.54 103.13 98.39 118.84 82.87 112.56 117.38 98.83 108.39 112.68 73.62 100.86 105.63 90.21 72.88 106.86 108.16 99.71 114.69 85.83 150.49 112.03 91.88 108.73 112.76 128.14 97.93 108.73 110.36 109.35 115.29 85.03 72.94 84.12 105.42 100.83 121.75 122.34 88.98 82.6 86.94 106.3 100.33 100.92 83.67 99.09 84.18 96.37 92.28 92.54 99.45 105.03 94.71 114.29 96.48 92.01 94.5 111.22 90.19 99.97 97.01 84.26 95.31 109.49 104.6 100.85 115.25 113.88 105.18 111.56 115.27 81.9 108.05 91.42 105.61 118.78 80.72 89.92 131.57 99.71 113.38 117.84 131.29 119.02 90.04 126.69 103.27 100.15 112.55 92.41 95.04 76.6 135.96 116.6 75.62 84.22 87.32 91.15 91.83 118.89 112.15 96.71 124.01 79.18 135.96 84.93 70.95 73.96 123.63 91.01 76.29 79.71 71.89 99.75 97.55 116.41 82.64 91.32 98.18 104.59 139.14 83.28 74.54 93.23 96.56 100.93 100.86 95.16 113.16 106.2 77.8 94.14 117.3 121.56 80.92 105.44 126.82 86.18 90.94 82 97.33 113.12 123.77 110.08 117.39 86.47 111.23 104.87 69.89 110.61 126.37 107.92 81.05 105.37 108.98 72.69 92.8 100.65 92.88 111.44 81.38 120.87 111.71 109.2 111.95 98.52 130.74 93.49 110.8 90.22 102.39 98.67 127.59 87.58 108.48 129.5 104.07 102.46 116.31 119.02 94.61 91.38 108.33 112.81 93.77 100.53 82.45 104.84 108.99 100.65 84.93 117.77 107.43 78.99 124.34 112.14 96.98 100.23 128.37 78.54 105.72 116.53 72.53 99.87 83.5 108.08 78.63 95.84 106.59 110.14 94.18 67.93 102.25 111.11 99.43 128.78 80.09 88.25 91.75 100.77 85.17 102.98 117.1 95.4 110.78 84 96.58 75.63 87.53 85.38 91.15 78.93 82.19 114.09 127.02 114.36 109.88 116.9 95.82 115.21 90.01 88.2 95.06 102.96 70.73 87.29 131.66 86.76 111.57 105.15 139.16 99.32 99.52 98.52 108.99 111.62 115.63 89.59 89.53 96.81 134.29 85.01 89.86 124.8 77.83 115.92 96.1 130.28 135.19 86.01 123.7 86.76 78.75 85.11 83.12 108.81 89.72 115.63 88.7 86.85 75.8 87.37 71.84 103.99 94.03 74.34 88.67 106.26 88.69 72.29 81.16 89.62 72.25 94.67 92.52 114.04 91.6 77 110.53 99.75 98.08 88.05 82.56 120.84 114.13 113.88 120.12 99.98 102.2 116 86.35 82.51 66.96 81.83 106.52 105.71 90.14 89.78 104.85 103.15 109.13 122.82 106.69 100.15 103.2 89.36 96.08 109.38 128.51 102.08 107.03 99.16 81.78 126.37 94.99 135.36 117.76 112.74 112.82 127.6 104.24 107.66 81.13 106.44 87.81 81.99 110.95 92.47 100.33 140.28 106.35 71.65 72.91 94.89 interest rate principle amount 7% 100,000.00 down payment duration (years) 30 $ monthly payment ($661.44) interest rate 2% 3% 4% 5% 6% 7% 8% 9% 10% 10,000 $ 20,000 $ 30,000 $ 35,000 sales pers Leena Jon Leena Kathy Leena Kathy Leena June Kirk Jon Kathy Jon Jon Leena Kathy Kathy Kirk Kathy Leena Jon Kathy Kathy Kirk June Jon June Kathy June Leena Kathy Kirk Jon Jon June June Leena Kirk Jon June Jon Kathy Kathy Leena Jon June Leena Jon Leena Kirk June Kirk Kirk June June Leena Leena Kirk June Kirk June Jon Jon Jon Leena Kathy Leena Kirk Kathy June Kirk Jon Kathy Leena June Kirk Kirk Kirk Kathy Kirk Kirk June Kirk Kirk Kathy Jon Kathy Kirk Leena Leena Leena Leena region Africa Asia Asia Asia West Asia East East East East West Europe East Africa Europe West Asia West East West Asia Africa Asia East Europe West Asia Asia Africa Asia Asia Asia East East East East Asia West Asia West East Asia Europe Europe West West Africa Europe Africa West West East West Europe Asia East Asia Asia East Europe Europe East Europe Europe Africa Asia Africa Africa Europe Africa East West Europe East West West Africa West Asia West East Europe East West Africa 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zj32 wq99 zc00 xx13 zj32 wq99 zj32 zc00 xj11 wq99 wq99 xx13 zc00 zj32 xx13 xx13 xx13 zj32 xx13 zc00 zc00 xj11 61 191 49 241 251 7 327 234 282 147 149 36 261 284 283 201 75 2 185 75 230 70 242 142 266 72 126 27 3 273 100 53 323 367 389 181 242 108 300 108 220 5 187 197 208 134 27 86 24 39 194 276 192 271 85 361 265 139 379 287 244 388 63 220 96 304 122 175 73 60 235 215 222 289 104 71 359 18 31 49 116 100 207 354 62 105 7 383 357 373 112 55 Jon Jon Jon Jon Leena Kathy Leena Leena Jon Kirk Kirk Leena Kathy Kathy Leena Jon June Leena Kirk Leena Leena Jon Jon Kirk Kathy June Jon Leena Kirk Kirk Leena Kirk Leena Kathy Kirk Kathy Kirk Jon June Jon Kathy Leena Kirk June Leena Kirk June Kathy Kirk June Kathy Leena Leena Jon Kathy Kathy Jon Jon Kathy Leena June Kathy Kirk June June Kathy Leena Jon June Leena Leena Jon Leena Leena Kathy Jon Jon Kirk Jon June Jon Kathy June Jon June Kathy Leena Kathy Kirk Jon Kathy Jon Africa Europe West Africa Africa East East East Africa West West West East Asia Africa Africa Europe Europe Europe Asia Asia East East Europe Europe Europe Europe Asia West Africa Europe Asia Europe Asia Africa Africa Asia Europe Asia Africa Africa Europe West Asia Asia Africa Africa Africa East Europe Europe Europe Europe East Africa East East East Europe West West Asia Asia West Europe Asia Africa Europe West Europe Europe Africa East Africa Europe Africa Africa Asia Europe Asia Asia West Africa West East Europe Asia Africa Europe Africa Africa Europe wq99 xj11 xj11 zc00 xj11 xj11 wq99 zj32 xj11 zj32 wq99 xj11 xj11 zc00 wq99 wq99 zc00 xj11 xx13 zj32 zj32 wq99 xx13 zc00 xx13 xx13 xj11 wq99 xj11 zc00 zj32 zc00 xj11 xx13 zj32 xx13 zj32 xj11 zj32 zc00 zc00 zc00 xj11 xj11 wq99 zc00 xj11 xj11 zc00 xj11 zc00 zj32 xx13 wq99 xx13 wq99 zj32 xx13 xx13 xj11 zj32 wq99 zj32 zc00 zc00 zj32 xx13 zc00 xj11 wq99 wq99 zj32 zc00 zj32 zc00 zj32 xx13 zj32 wq99 zj32 zj32 xj11 zc00 xj11 zj32 zj32 zc00 zc00 xx13 xx13 wq99 zc00 390 271 271 135 149 160 328 138 328 78 271 116 174 350 210 106 55 134 76 98 286 160 158 263 81 340 301 294 43 40 288 188 189 82 322 38 53 300 87 237 242 185 190 225 329 349 152 272 28 241 344 107 381 147 304 329 201 354 346 341 234 26 94 258 36 127 200 344 117 225 109 345 175 80 105 47 46 384 114 129 158 36 22 88 53 319 218 169 12 317 116 50 Jon Kirk Leena June Leena Kathy Jon June Kathy Kirk Kathy June Jon Jon Kathy Kirk June Kathy Kathy Kirk Jon Kirk Kirk Jon Kirk Kathy Leena Kirk Kathy June Kathy Kirk Kathy June Leena Leena Jon Jon Kirk Africa West Asia Africa East West Africa East Africa Europe Asia Africa East East Europe Europe Africa Africa Asia West West West Africa East Europe Africa Africa Asia East Europe West Europe West Europe East Asia West Asia Asia xj11 xx13 wq99 zc00 zj32 xx13 zc00 xj11 zj32 zc00 zj32 wq99 xx13 xj11 wq99 xj11 zc00 zj32 xj11 zj32 xx13 xx13 zj32 zc00 zj32 zc00 wq99 xx13 zj32 zj32 zj32 zc00 zc00 zj32 zc00 xj11 zj32 xx13 xx13 225 294 162 343 152 294 178 94 79 315 134 234 349 24 335 314 96 61 181 302 221 287 159 246 95 10 383 293 178 59 10 279 25 124 80 299 188 383 154 Part A weight First project Midterm Second project Final Exam Score 20% 30% 15% 35% Course Average 87 93 90 87 delivery time 59 67 76 90 83 75 69 58 65 94 91 68 74 85 62 69 53 98 93 84 93 84 79 98 65 94 91 52 76 74 97 73 64 59 94 51 55 99 66 50 90 87 89 99 66 53 93 61 74 87 74 62 90 86 95 74 71 99 75 54 56 89 72 51 88 91 85 53 93 85 96 63 83 88 77 60 92 60 76 72 76 56 57 86 73 93 80 77 67 78 70 shipping weight 204.5 69.3 259.7 403.7 161.6 333.3 318.8 7.0 79.6 63.9 399.2 370.9 360.2 210.3 373.1 76.0 9.3 225.5 287.4 385.4 69.8 118.6 387.5 250.0 310.1 58.0 361.4 206.8 302.7 65.1 119.5 300.3 335.0 354.7 325.8 139.0 398.4 159.6 170.1 222.9 374.8 174.7 355.8 63.0 258.8 6.1 94.9 225.0 218.2 289.9 292.2 386.1 64.9 55.6 252.4 267.3 191.8 320.9 344.3 323.2 121.1 110.4 132.2 348.7 394.9 83.8 267.2 80.0 192.8 375.7 300.9 60.8 222.3 66.8 230.8 333.1 85.5 64.9 206.2 247.4 110.4 54.4 182.0 387.2 145.8 272.7 41.0 369.7 70.3 270.7 41.0 sum of weight for shipments taking 90 days or more count of shipments taking 85 days or more 54 76 58 66 98 98 50 80 79 81 98 60 78 99 76 55 53 94 54 72 89 81 62 84 86 73 63 60 90 52 53 77 54 73 85 81 78 74 50 67 91 87 71 85 68 99 76 64 94 68 67 72 52 77 88 74 86 87 61 99 59 95 68 50 63 70 57 175.6 272.5 202.2 398.9 185.1 26.4 204.6 119.4 241.0 25.6 299.9 118.4 363.8 354.5 119.4 223.5 363.0 348.8 36.2 141.1 402.4 220.0 11.8 284.9 215.6 44.1 78.2 246.8 157.1 350.1 148.9 173.8 305.3 145.7 145.7 129.5 256.7 133.0 371.5 44.5 237.3 149.6 209.7 56.1 336.5 197.9 264.3 40.7 227.7 161.9 334.0 371.1 219.1 132.4 288.6 167.5 67.3 367.7 324.0 285.5 99.3 187.2 380.1 363.7 235.0 136.2 172.0