Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with
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Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm?
Area Under the Standard Normal Curve
Transcribed Image Text:
z A AZA A z 2 2.24 0.487 2.80 0.497 0.00 0.000 0.56 0.212 1.12 0.369 1.68 0.454 0.01 0.004 0.57 0.216 1.13 0.371 1.69 0.454 2.25 0.488 2.81 0.498 0.02 0.008 0.58 0.219 1.14 0.373 2.82 0.498 1.70 0.455 2.26 0.488 0.456 2.27 0.488 0.03 0.012 0.59 0.222 1.15 0.375 1.71 2.83 0.498 0.04 0.016 0.377 0.457 2.28 0.489 2.84 0.498 0.379 0.489 1.72 1.73 0.458 2.29 2.85 0.498 1.74 0.459 2.30 0.489 2.86 0.498 1.75 0.460 2.31 0.490 2.87 0.498 1.76 0.461 2.32 0.490 2.88 0.498 1.77 0.462 2.33 0.490 2.89 1.78 0.462 2.34 0.490 2.90 0.463 2.35 0.491 2.91 1.80 0.464 2.36 0.491 2.92 1.81 0.465 2.37 0.491 2.93 1.82 0.466 0.498 0.60 0.226 1.16 0.05 0.020 0.61 0.229 1.17 0.06 0.024 0.62 0.232 1.18 0.381 0.07 0.028 0.63 0.236 1.19 0.383 0.08 0.032 0.64 0.239 1.20 0.385 0.09 0.036 0.65 0.242 1.21 0.387 0.10 0.040 0.66 0.245 1.22 0.389 0.11 0.044 0.67 0.249 1.23 0.391 1.79 0.12 0.048 0.68 0.252 1.24 0.393 0.13 0.052 0.69 0.255 1.25 0.394 0.14 0.056 0.70 0.258 1.26 0.396 0.15 0.060 0.71 0.261 1.27 0.398 0.16 0.064 0.72 0.264 1.28 0.400 0.17 0.067 0.73 0.267 1.29 0.18 0.071 0.74 0.498 0.498 0.498 2.38 0.491 2.94 0.466 2.39 0.492 2.95 0.498 0.467 2.40 0.492 2.96 0.498 0.401 0.468 2.41 0.492 2.97 0.499 0.270 1.30 0.469 2.42 0.492 2.98 0.499 0.19 0.075 0.75 0.273 1.31 2.43 0.492 2.99 0.499 0.20 0.079 0.76 0.276 1.32 2.44 0.493 3.00 0.499 0.21 0.083 0.77 0.279 1.33 0.408 2.45 0.493 3.01 0.499 2.46 0.493 3.02 0.499 0.22 0.087 0.78 0.282 1.34 0.410 0.23 0.091 0.79 0.285 1.35 0.411 3.03 0.24 0.095 0.80 0.288 3.04 0.25 0.099 0.81 0.291 1.36 0.413 1.37 0.415 1.93 1.38 0.416 1.94 0.473 2.49 0.494 3.05 0.499 0.474 2.50 0.494 3.06 0.499 0.26 0.103 0.82 0.294 0.27 0.106 0.83 0.297 1.39 0.418 1.95 0.474 2.51 0.494 3.07 0.499 0.475 0.31 0.122 2.62 0.496 3.18 0.499 2.63 0.496 3.19 0.499 2.64 0.496 3.20 0.499 2.65 0.496 3.21 0.499 0.28 0.110 0.84 0.300 1.40 0.419 1.96 0.29 0.114 0.85 0.302 1.41 0.421 1.97 0.476 0.30 0.118 0.86 0.305 1.42 0.422 1.98 0.476 0.87 0.308 1.43 0.424 1.99 0.477 0.32 0.126 0.88 0.311 1.44 0.425 2.00 0.477 0.33 0.129 0.89 0.313 1.45 0.426 2.01 0.478 3.13 0.499 0.34 0.133 0.90 0.316 1.46 0.428 2.02 0.478 2.58 0.495 3.14 0.499 0.35 0.137 0.91 0.319 1.47 0.429 2.03 0.479 2.59 0.495 3.15 0.499 0.36 0.141 0.92 0.321 1.48 0.431 2.04 0.479 2.60 0.495 3.16 0.499 0.37 0.144 0.93 0.324 1.49 0.432 2.05 0.480 2.61 0.495 3.17 0.499 0.38 0.148 0.94 0.326 1.50 0.433 2.06 0.480 0.39 0.152 0.95 0.329 1.51 0.434 2.07 0.481 0.40 0.155 0.96 0.331 1.52 0.436 2.08 0.481 0.41 0.159 0.97 0.334 1.53 0.437 2.09 0.482 0.42 0.163 0.98 0.336 1.54 0.438 2.10 0.482 2.66 0.496 3.22 0.499 0.43 0.166 0.99 0.339 1.55 0.439 2.11 0.483 2.67 0.496 3.23 0.499 0.44 0.170 1.00 0.341 1.56 0.441 2.12 0.483 2.68 0.496 3.24 0.499 0.45 0.174 1.01 0.344 1.57 0.442 2.13 0.483 2.69 0.496 3.25 0.499 0.46 0.177 1.02 0.346 1.58 0.443 2.70 0.497 3.26 0.499 0.47 0.181 1.03 0.348 1.59 0.444 3.27 0.499 0.48 0.184 1.04 0.351 1.60 0.445 0.49 0.188 1.05 0.353 1.61 0.446 0.50 0.191 1.06 0.355 1.62 0.447 0.51 0.195 1.07 0.358 1.63 0.448 0.360 0.53 0.202 1.09 0.362 0.54 0.205 1.10 0.364 0.55 0.209 1.11 0.367 2.14 0.484 2.71 0.497 2.72 0.497 3.28 0.499 2.73 0.497 3.29 0.499 3.30 0.500 0.52 0.198 1.08 1.64 0.449 2.18 0.485 2.74 0.497 2.19 0.486 2.75 0.497 3.31 0.500 2.20 0.486 2.76 0.497 3.32 0.500 2.77 0.497 3.33 0.500 2.78 0.497 2.79 0.497 1.65 0.451 2.21 0.486 1.66 0.452 2.22 0.487 0.487 1.67 0.453 2.23 z 0.403 0.405 0.407 2 1.83 1.84 1.85 1.86 1.87 0.469 1.88 0.470 1.89 0.471 1.90 0.471 1.91 0.472 2.47 0.493 1.92 0.473 2.48 0.493 2.15 0.484 2.16 0.485 2.17 0.485 0.498 0.498 2.55 0.495 2.56 0.495 2.57 0.495 0.499 0.499 2.52 0.494 3.08 0.499 2.53 0.494 3.09 0.499 2.54 0.494 3.10 0.499 3.11 0.499 3.12 0.499 z A AZA A z 2 2.24 0.487 2.80 0.497 0.00 0.000 0.56 0.212 1.12 0.369 1.68 0.454 0.01 0.004 0.57 0.216 1.13 0.371 1.69 0.454 2.25 0.488 2.81 0.498 0.02 0.008 0.58 0.219 1.14 0.373 2.82 0.498 1.70 0.455 2.26 0.488 0.456 2.27 0.488 0.03 0.012 0.59 0.222 1.15 0.375 1.71 2.83 0.498 0.04 0.016 0.377 0.457 2.28 0.489 2.84 0.498 0.379 0.489 1.72 1.73 0.458 2.29 2.85 0.498 1.74 0.459 2.30 0.489 2.86 0.498 1.75 0.460 2.31 0.490 2.87 0.498 1.76 0.461 2.32 0.490 2.88 0.498 1.77 0.462 2.33 0.490 2.89 1.78 0.462 2.34 0.490 2.90 0.463 2.35 0.491 2.91 1.80 0.464 2.36 0.491 2.92 1.81 0.465 2.37 0.491 2.93 1.82 0.466 0.498 0.60 0.226 1.16 0.05 0.020 0.61 0.229 1.17 0.06 0.024 0.62 0.232 1.18 0.381 0.07 0.028 0.63 0.236 1.19 0.383 0.08 0.032 0.64 0.239 1.20 0.385 0.09 0.036 0.65 0.242 1.21 0.387 0.10 0.040 0.66 0.245 1.22 0.389 0.11 0.044 0.67 0.249 1.23 0.391 1.79 0.12 0.048 0.68 0.252 1.24 0.393 0.13 0.052 0.69 0.255 1.25 0.394 0.14 0.056 0.70 0.258 1.26 0.396 0.15 0.060 0.71 0.261 1.27 0.398 0.16 0.064 0.72 0.264 1.28 0.400 0.17 0.067 0.73 0.267 1.29 0.18 0.071 0.74 0.498 0.498 0.498 2.38 0.491 2.94 0.466 2.39 0.492 2.95 0.498 0.467 2.40 0.492 2.96 0.498 0.401 0.468 2.41 0.492 2.97 0.499 0.270 1.30 0.469 2.42 0.492 2.98 0.499 0.19 0.075 0.75 0.273 1.31 2.43 0.492 2.99 0.499 0.20 0.079 0.76 0.276 1.32 2.44 0.493 3.00 0.499 0.21 0.083 0.77 0.279 1.33 0.408 2.45 0.493 3.01 0.499 2.46 0.493 3.02 0.499 0.22 0.087 0.78 0.282 1.34 0.410 0.23 0.091 0.79 0.285 1.35 0.411 3.03 0.24 0.095 0.80 0.288 3.04 0.25 0.099 0.81 0.291 1.36 0.413 1.37 0.415 1.93 1.38 0.416 1.94 0.473 2.49 0.494 3.05 0.499 0.474 2.50 0.494 3.06 0.499 0.26 0.103 0.82 0.294 0.27 0.106 0.83 0.297 1.39 0.418 1.95 0.474 2.51 0.494 3.07 0.499 0.475 0.31 0.122 2.62 0.496 3.18 0.499 2.63 0.496 3.19 0.499 2.64 0.496 3.20 0.499 2.65 0.496 3.21 0.499 0.28 0.110 0.84 0.300 1.40 0.419 1.96 0.29 0.114 0.85 0.302 1.41 0.421 1.97 0.476 0.30 0.118 0.86 0.305 1.42 0.422 1.98 0.476 0.87 0.308 1.43 0.424 1.99 0.477 0.32 0.126 0.88 0.311 1.44 0.425 2.00 0.477 0.33 0.129 0.89 0.313 1.45 0.426 2.01 0.478 3.13 0.499 0.34 0.133 0.90 0.316 1.46 0.428 2.02 0.478 2.58 0.495 3.14 0.499 0.35 0.137 0.91 0.319 1.47 0.429 2.03 0.479 2.59 0.495 3.15 0.499 0.36 0.141 0.92 0.321 1.48 0.431 2.04 0.479 2.60 0.495 3.16 0.499 0.37 0.144 0.93 0.324 1.49 0.432 2.05 0.480 2.61 0.495 3.17 0.499 0.38 0.148 0.94 0.326 1.50 0.433 2.06 0.480 0.39 0.152 0.95 0.329 1.51 0.434 2.07 0.481 0.40 0.155 0.96 0.331 1.52 0.436 2.08 0.481 0.41 0.159 0.97 0.334 1.53 0.437 2.09 0.482 0.42 0.163 0.98 0.336 1.54 0.438 2.10 0.482 2.66 0.496 3.22 0.499 0.43 0.166 0.99 0.339 1.55 0.439 2.11 0.483 2.67 0.496 3.23 0.499 0.44 0.170 1.00 0.341 1.56 0.441 2.12 0.483 2.68 0.496 3.24 0.499 0.45 0.174 1.01 0.344 1.57 0.442 2.13 0.483 2.69 0.496 3.25 0.499 0.46 0.177 1.02 0.346 1.58 0.443 2.70 0.497 3.26 0.499 0.47 0.181 1.03 0.348 1.59 0.444 3.27 0.499 0.48 0.184 1.04 0.351 1.60 0.445 0.49 0.188 1.05 0.353 1.61 0.446 0.50 0.191 1.06 0.355 1.62 0.447 0.51 0.195 1.07 0.358 1.63 0.448 0.360 0.53 0.202 1.09 0.362 0.54 0.205 1.10 0.364 0.55 0.209 1.11 0.367 2.14 0.484 2.71 0.497 2.72 0.497 3.28 0.499 2.73 0.497 3.29 0.499 3.30 0.500 0.52 0.198 1.08 1.64 0.449 2.18 0.485 2.74 0.497 2.19 0.486 2.75 0.497 3.31 0.500 2.20 0.486 2.76 0.497 3.32 0.500 2.77 0.497 3.33 0.500 2.78 0.497 2.79 0.497 1.65 0.451 2.21 0.486 1.66 0.452 2.22 0.487 0.487 1.67 0.453 2.23 z 0.403 0.405 0.407 2 1.83 1.84 1.85 1.86 1.87 0.469 1.88 0.470 1.89 0.471 1.90 0.471 1.91 0.472 2.47 0.493 1.92 0.473 2.48 0.493 2.15 0.484 2.16 0.485 2.17 0.485 0.498 0.498 2.55 0.495 2.56 0.495 2.57 0.495 0.499 0.499 2.52 0.494 3.08 0.499 2.53 0.494 3.09 0.499 2.54 0.494 3.10 0.499 3.11 0.499 3.12 0.499
Expert Answer:
Answer rating: 100% (QA)
a Recall the formula for Zscore for data value x is The zscore for 485mm is Table 131... View the full answer
Related Book For
Business Statistics a decision making approach
ISBN: 978-0133021844
9th edition
Authors: David F. Groebner, Patrick W. Shannon, Phillip C. Fry
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