I could use some statistic assistance in the following: Find the value of z such that 75.2% of the total area is to the left of z. z= ___________
I could use some statistic assistance in the following: Find the value of z such that 75.2% of the total area is to the left of z. z= ___________
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
I could use some statistic assistance in the following:
Find the value of z such that 75.2% of the total area is to the left of z.
z= ___________
(Round to two decimal places as needed.)
Note: the standard curve is for reference only.
Transcribed Image Text:The column under A gives the fraction of
A
A
A
A.
A
A
the area under the entire curve that is
.00
.000
.56
.212
1.12
.369
1.68
.454
2.24
487
2.80
.497
between z= 0 and a positive value of z.
.01
.004
.57
.216
1.13
.371
1.69
454
2.25
.488
2.81
498
.02
.008
.58
219
1.14
.373
1.70
455
2.26
.488
2.82
498
.03
.012
.59
.222
1.15
.375
1.71
456
2.27
.488
2.83
.498
.04
.016
60
.226
1.16
.377
1.72
.457
2.28
.489
2.84
.498
.05
.020
.61
.229
1.17
.379
1.73
.458
2.29
.489
2.85
498
.024
.028
.06
.62
232
1.18
.381
1.74
.459
2.30
.489
2.86
498
.07
.63
236
1.19
.383
1.75
460
2.31
.490
2.87
.498
.08
.032
64
.239
1.20
385
1.76
461
2.32
.490
2.88
498
Because the curve is symmetric about the
.09
.036
65
.242
1.21
387
1.77
462
2.33
.490
2.89
498
0-value, the area between z= 0 and a
.10
.040
.66
245
1.22
.389
1.78
.462
2.34
.490
2.90
498
negative value of z can be found by using
.11
.044
.67
.249
1.23
.391
1.79
.463
2.35
.491
2.91
.498
the corresponding positive value of z.
1.24
2.92
2.93
.12
.048
.68
.252
.393
1.80
.464
2.36
491
498
.13
.052
69
.255
1.25
.394
1.81
465
2.37
.491
.498
.14
.056
.70
.258
1.26
396
1.82
466
2.38
.491
2.94
.498
.15
.060
.71
.261
1.27
.398
1.83
466
2.39
.492
2.95
498
498
499
.499
.499
.16
.064
.72
264
1.28
.400
1.84
467
2.40
.492
2.96
2.97
2.98
.17
.067
.73
.267
1.29
.401
1.85
468
2.41
.492
.18
.071
.74
.270
1.30
.403
1.86
.469
2.42
.492
.19
.075
.75
273
1.31
.405
1.87
.469
2.43
492
2.99
20
.079
76
276
1.32
.407
1.88
.470
2.44
.493
3.00
499
.21
.083
.77
.279
1.33
.408
1.89
.471
2.45
.493
3.01
499
.22
.087
.78
.282
1.34
.410
1.90
471
2.46
493
3.02
.499
.23
.091
.79
.285
1.35
411
1.91
.472
2.47
493
3.03
499
.288
.291
24
.095
.80
1.36
.413
1.92
.473
2.48
493
3.04
499
.25
.099
.81
1.37
.415
1.93
.473
2.49
.494
3.05
499
499
.499
.26
.103
82
.294
1.38
.416
1.94
.474
2.50
.494
3.06
.27
.106
83
.297
1.39
.418
1.95
.474
2.51
.494
3.07
28
.110
.84
.300
1.40
.419
1.96
.475
2.52
494
3.08
499
.29
.114
.85
.302
1.41
.421
1.97
476
2.53
.494
3.09
.499
.30
.118
.86
.305
1.42
422
1.98
476
2.54
.494
3.10
499
31
.122
.87
.308
1.43
.424
1.99
477
2.55
.495
3.11
499
32
.126
.88
.311
1.44
.425
2.00
.477
2.56
.495
3.12
499
33
.129
.89
.313
1.45
426
2.01
478
2.57
.495
3.13
499
.478
.479
.34
.133
.90
.316
1.46
.428
2.02
2.58
.495
3.14
.499
.35
.137
.91
.319
1.47
.429
2.03
2.59
.495
3.15
.499
36
.141
.92
.321
1.48
.431
2.04
479
2.60
495
3.16
499
.499
.499
.37
.144
93
.324
1.49
432
2.05
480
2.61
495
3.17
.38
.148
94
.326
1.50
.433
2.06
480
2.62
.496
3.18
.39
152
.95
.329
1.51
.434
2.07
481
2.63
496
3.19
499
.40
.155
.96
.331
2.08
1.52
1.53
.436
.481
2.64
496
3.20
.499
.41
.159
.97
.334
.437
2.09
482
2.65
.496
3.21
.499
42
.163
.98
.336
1.54
438
2.10
482
2.66
496
3.22
499
43
.166
.99
.339
1.55
.439
2.11
483
2.67
.496
3.23
.499
3.24
3,25
.44
.170
1.00
.341
1.56
441
2.12
.483
2.68
.496
.499
45
.174
1.01
.344
1.57
.442
2.13
483
2.69
.496
499
46
177
1.02
.346
1.58
443
2.14
.484
2.70
.497
3.26
499
47
.181
1.03
.348
1.59
.444
2.15
484
2.71
.497
3.27
.499
48
.184
1.04
.351
1.60
445
2.16
.485
2.72
.497
3.28
.499
2.17
2.18
49
.188
1.05
.353
1.61
.446
.485
2.73
.497
3.29
.499
50
191
1.06
.355
1.62
.447
485
2.74
.497
3.30
500
51
.195
1.07
.358
1.63
.448
2.19
486
2.75
.497
3.31
.500
.486
.486
3.32
3,33
.52
.198
1.08
.360
1.64
.449
2.20
2.76
.497
.500
.53
.202
1.09
.362
1.65
.451
2.21
2.77
.497
.500
.54
.205
1.10
.364
1.66
.452
2.22
487
2.78
.497
3.34
.500
.55
.209 1.11
.367
1.67
453
2.23
487
2.79
.497
3.35
.500
A
A
A
A
A
A
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