A fruit-packing company produced peaches last summer whose weights were normally distributed with mean 15 ounces and standard deviation 0.4 ounce. Among a sample of 1000 of those peaches, about how many could be expected to have weights between 15.2 and 16 ounces? The number of peaches expected to have weights between 15.2 and 16 ounces is (Round to the nearest whole number as needed.)
A fruit-packing company produced peaches last summer whose weights were normally distributed with mean 15 ounces and standard deviation 0.4 ounce. Among a sample of 1000 of those peaches, about how many could be expected to have weights between 15.2 and 16 ounces? The number of peaches expected to have weights between 15.2 and 16 ounces is (Round to the nearest whole number as needed.)
A fruit-packing company produced peaches last summer whose weights were normally distributed with mean 15 ounces and standard deviation 0.4 ounce. Among a sample of 1000 of those peaches, about how many could be expected to have weights between 15.2 and 16 ounces? The number of peaches expected to have weights between 15.2 and 16 ounces is (Round to the nearest whole number as needed.)
A fruit-packing company produced peaches last summer whose weights were normally distributed with mean 15 ounces and standard deviation 0.4 ounce. Among a sample of 1000 of those peaches, about how many could be expected to have weights between 15.2 and 16 ounces?
The number of peaches expected to have weights between 15.2 and 16 ounces is
(Round to the nearest whole number as needed.)
Transcribed Image Text:Standard Normal Curve Areas (page 2)
Areas under the Normal Curve
The column under A gives the
proportion of the area under the
entire curve that is between z = 0
and a positive value of z.
0
Z
Z
Because the curve is symmetric
about 0, the area between z = 0 and
a negative value of z can be found
by using the corresponding positive
value of z.
A
Z
Z
A
Z
A
A
0.482 2.40
1.80
0.464 2.10
0.492 2.70
0.497
0.497
0.483 2.41
0.497 3.02
1.81 0.465 2.11
1.82 0.466 2.12
1.83 0.466 2.13
1.84 0.467 2.14
0.492 2.71
0.483 2.42 0.492 2.72
0.483 2.43 0.492 2.73
0.484
2.44 0.493 2.74
0.484 2.45 0.493 2.75
0.485 2.46 0.493 2.76
0.485 2.47 0.493 2.77
0.497 3.03
97 3.04
0.497 3.05
1.85
0.468 2.15
0.469 2.16
1.86
1.87
0.469 2.17
0.497 3.06
0.497
3.07
0.497 3.08
0.499 3.37
0.485 2.48
0.493 2.78
0.499 3.38
0.497 3.09
0.499
3.39
0.497 3.10
0.499 3.40
1.88 0.470 2.18
1.89 0.471 2.19 0.486 2.49
1.90 0.471 2.20 0.486 2.50
1.91 0.472 2.21 0.486 2.51
1.92 0.473 2.22 0.487 2.52
1.93 0.473 2.23 0.487 2.53
1.94 0.474 2.24 0.487 2.54
0.494 2.79
0.494 2.80
0.494 2.81
0.494 2.82
0.494 2.83
3.11 0.499 3.41
0.498
0.498
0.499
3.42
3.12
0.498 3.13
0.499
3.43
0.494
2.84
0.498 3.14
0.499
3.44
0.488 2.55
0.495
1.95 0.474 2.25
1.96
0.475 2.26
1.97 0.476 2.27
0.498 3.15 0.499 3.45
0.499
0.488 2.56
0.495
0.498 3.16
3.46
0.488 2.57
0.498 3.17
0.499 3.47.
2.85
2.86
0.495 2.87
0.495 2.88
0.495 2.89
0.495 2.90
1.98 0.476 2.28
0.498 3.18
0.499 3.48
0.489 2.58
2.59
0.498 3.19
0.499 3.49
0.498 3.20
0.499 3.50
0.498 3.21
0.498 3.22
1.99 0.477 2.29 0.489
2.00 0.477 2.30 0.489 2.60
2.01 0.478 2.31
2.02 0.478 2.32
2.03 0.479 2.33
2.04 0.479 2.34
2.05 0.480 2.35
2.06 0.480 2.36
2.07
0.481 2.37
2.08 0.481 2.38
2.09
0.490 2.61
0.490 2.62
0.490 2.63
0.490 2.64
0.491 2.65
0.491 2.66
0.495 2.91
0.496 2.92
0.496 2.93 0.498 3.23
0.496 2.94 0.498 3.24
0.496 2.95 0.498 3.25
0.496 2.96 0.498 3.26
0.496 2.97
0.496 2.98
0.499 3.51
0.499 3.52
0.499 3.53
0.499 3.54
0.499 3.55
0.499 3.56
0.491 2.67
0.499 3.27
0.499 3.57
0.491 2.68
0.499 3.28
0.499 3.58
0.482 12.39
0492 12 69
106
la 00
Z
3.00
3.01
A
Z
0.499
3.30
0.499 3.31
0.499 3.32
0.499 3.33
0.499
3.34
0.499
3.35
0.499
3.36
A
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
0.500
I
Transcribed Image Text:Standard Normal Curve Areas (page 1)
Areas under the Normal Curve
The column under A gives the
proportion of the area under the
entire curve that is between z = 0
and a positive value of z.
Z
A
z
A
0.00
0.000 0.30
0.118
0.60
0.01
0.004 0.31
0.122
0.61
0.02
0.008 0.32
0.126 0.62
0.05
0.06
0.024
0.03 0.012 0.33 0.129 0.63
0.04 0.016 0.34 0.133 0.64
0.020 0.35 0.137 0.65
0.36 0.141 0.66
0.07 0.028 0.37 0.144 0.67
0.08 0.032 0.38 0.148
0.68
0.09 0.036 0.39 0.152 0.69
0.10 0.040 0.40 0.155 0.70
0.11 0.044 0.41 0.159 0.71
0.12 0.048 0.42 0.163 0.72
0.13 0.052 0.43
0.166 0.73
0.14 0.056 0.44 0.170 0.74
0.15
0.060 0.45 0.174 0.75
0.16 0.064 0.46 0.177 0.76
0.17 0.067 0.47 0.181 0.77
0.18 0.071 0.48 0.184 0.78
0.19 0.075 0.49 0.188 0.79
0.20 0.079 0.50 0.191 0.80
0.21 0.083 0.51 0.195 0.81
0.22 0.087 0.52 0.198 0.82
0.23 0.091 0.53 0.202 0.83
0.24 0.095 0.54 0.205 0.84
0.25 0.099 0.55 0.209 0.85
0.26 0.103 0.56 0.212 0.86
0.27 0.106 0.57
0.216
0.87
0.28 0.110 0.58
0.219
0.88
0.29 0.114 0.59 0.222 0.89
CON
0
Z
Because the curve is symmetric
about 0, the area between z=0
and a negative value of z can be
found by using the corresponding
positive value of z.
A
Z
A
Z
A
0.316
0.385
1.50
0.226 0.90
1.20
0.229 0.91 0.319 1.21 0.387 1.51
1.22
0.389
1.52
1.23
0.391 1.53
1.24
0.393
1.54
1.55
1.56
1.57
0.232 0.92 0.321
0.236 0.93 0.324
0.239 0.94 0.326
0.242 0.95 0.329 1.25 0.394
0.245 0.96 0.331 1.26 0.396
0.249
0.97
0.334 1.27 0.398
0.98 0.336 1.28
0.99 0.339 1.29
1.00 0.341
1.30 0.403
1.01 0.344 1.31 0.405 1.61
1.02
0.267 1.03
0.252
0.400 1.58
0.255
0.401
1.59
0.258
1.60
0.261
0.264
0.407
1.62
0.346 1.32
0.348
0.351
1.33
0.408 1.63
1.34
0.410
1.64
0.353 1.35
0.411 1.65
0.270 1.04
0.273 1.05
0.276 1.06
0.279 1.07
0.282 1.08
0.355 1.36
0.413 1.66
0.358 1.37 0.415 1.67
0.360 1.38
0.416 1.68
0.362 1.39 0.418 1.69
0.364 1.40
0.367 1.41
0.369 1.42
0.424
0.285 1.09
0.288 1.10
0.291
1.11
0.294 1.12
0.297 1.13 0.371 1.43
0.300 1.14 0.373 1.44
0.302 1.15
0.375
1.45
0.305 1.16 0.377 1.46
1.17 0.379 1.47
1.18 0.381 1.48
0.383 1.49 0.432 1.79
0.425
0.426 1.75
0.428 1.76
0.308
0.429
1.77
0.311
0.431 1.78
0.313 1.19
Z
0.419 1.70
0.421 1.71
0.422
1.72
1.73
1.74
A
0.433
0.434
0.436
0.437
0.438
0.439
0.441
0.442
0.443
0.444
0.445
0.446
0.447
0.448
0.449
0.451
0.452
0.453
0.454
0.454
0.455
0.456
0.457
0.458
0.459
0.460
0.461
0.462
0.462
0.463
I
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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