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Math Statistics

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a standard deviation of 90 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 980 h % (b) between 820 and 880 h %

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a standard deviation of 90 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 980 h % (b) between 820 and 880 h %

MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Concept explainers

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.

A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a standard deviation of 90 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.)

(a) at least 980 h
%

(b) between 820 and 880 h

%

Area Under the Standard Normal Curve
A
A
A
A
A
0.00
0.000
0.56
0.212
1.12
0.369
1.68
0.454
2.24
0.487
2.80
0.497
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
1.70
0.455
2.26
0.488
2.82
0.498
0.03
0.012
0.59
0.222
1.15
0.375
1.71
0.456
2.27
0.488
2.83
0.498
0.04
0.016
0.60
0.226
1.16
0.377
1.72
0.457
2.28
0.489
2.84
0.498
0.458
0.459
0.05
0.020
0.61
0.229
1.17
0.379
1.73
2.29
0.489
2.85
0.498
0.06
0.024
0.62
0.232
1.18
0.381
1.74
2.30
0.489
2.86
0.498
0.07
0.028
0.63
0.236
1.19
0.383
1.75
0.460
2.31
0.490
2.87
0.498
0.08
0.032
0.64
0.239
1.20
0.385
1.76
0.461
2.32
0.490
2.88
0.498
0.09
0.036
0.65
0.242
1.21
0.387
1.77
0.462
2.33
0.490
2.89
0.498
0.10
0.040
0.66
0.245
1.22
0.389
1.78
0.462
2.34
0.490
2.90
0.498
0.391
0.393
0.11
0.044
0.67
0.249
1.23
1.79
0.463
2.35
0.491
2.91
0.498
0.12
0.048
0.68
0.252
1.24
1.80
0.464
2.36
0.491
2.92
0.498
0.13
0.052
0.69
0.255
1.25
0.394
1.81
0.465
2.37
0.491
2.93
0.498
0.14
0.056
0.70
0.258
1.26
0.396
1.82
0.466
2.38
0.491
2.94
0.498
1.27
2.95
0.261
0.264
0.15
0.060
0.71
0.398
1.83
0.466
2.39
0.492
0.498
0.16
0.064
0.72
1.28
0.400
1.84
0.467
2.40
0.492
2.96
0.498
0.17
0.067
0.73
0.267
1.29
0.401
1.85
0.468
2.41
0.492
2.97
0.499
0.18
0.071
0.74
0.270
1.30
0.403
1.86
0.469
2.42
0.492
2.98
0.499
0.19
0.075
0.75
0.273
1.31
0.405
1.87
0.469
2.43
0.492
2.99
0.499
0.20
0.079
0.76
0.276
1.32
0.407
1.88
0.470
2.44
0.493
3.00
0.499
0.21
0.083
0.77
0.279
1.33
0.408
1.89
0.471
2.45
0.493
3.01
0.499
0.22
0.087
0.78
0.282
1.34
0.410
1.90
0.471
2.46
0.493
3.02
0.499
0.23
0.091
0.79
0.285
1.35
0.411
1.91
0.472
2.47
0.493
3.03
0.499
0.24
0.095
0.80
0.288
1.36
0.413
1.92
0.473
2.48
0.493
3.04
0.499
0.25
0.099
0.81
0.291
1.37
0.415
1.93
0.473
2.49
0.494
3.05
0.499
0.26
0.103
0.82
0.294
1.38
0.416
1.94
0.474
2.50
0.494
3.06
0.499
0.27
0.106
0.83
0.297
1.39
0.418
1.95
0.474
2.51
0.494
3.07
0.499
0.499
0.499
0.28
0.110
0.84
0.300
1.40
0.419
1.96
0.475
2.52
0.494
3.08
0.29
0.114
0.85
0.302
1.41
0.421
1.97
0.476
2.53
0.494
3.09
0.118
0.122
0.30
0.86
0.305
1.42
0.422
1.98
0.476
2.54
0.494
3.10
0.499
0.499
0.499
0.31
0.87
0.308
1.43
0.424
1.99
0.477
2.55
0.495
3.11
0.32
0.126
0.88
0.311
1.44
0.425
2.00
0.477
2.56
0.495
3.12
0.33
0.129
0.89
0.313
1.45
0.426
2.01
0.478
2.57
0.495
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
2.62
0.496
3.18
0.499
0.39
0.152
0.95
0.329
1.51
0.434
2.07
0.481
2.63
0.496
3.19
0.499
0.40
0.155
0.96
0.331
1.52
0.436
2.08
0.481
2.64
0.496
3.20
0.499
0.499
0.499
0.41
0.159
0.97
0.334
1.53
0.437
2.09
0.482
2.65
0.496
3.21
0.42
0.163
0.98
0.336
1.54
0.438
2.10
0.482
2.66
0.496
3.22
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
2.14
0.484
2.70
0.497
3.26
0.499
0.47
0.181
1.03
0.348
1.59
0.444
2.15
0.484
2.71
0.497
3.27
0.499
0.48
0.184
1.04
0.351
1.60
0.445
2.16
0.485
2.72
0.497
3.28
0.499
0.49
0.188
1.05
0.353
1.61
0.446
2.17
0.485
2.73
0.497
3.29
0.499
0.50
0.191
1.06
0.355
1.62
0.447
2.18
0.485
2.74
0.497
3.30
0.500
0.51
0.195
1.07
0.358
1.63
0.448
2.19
0.486
2.75
0.497
3.31
0.500
0.52
0.198
1.08
0.360
1.64
0.449
2.20
0.486
2.76
0.497
3.32
0.500
0.53
0.202
1.09
0.362
1.65
0.451
2.21
0.486
2.77
0.497
3.33
0.500
0.54
0.205
1.10
0.364
1.66
0.452
2.22
0.487
2.78
0.497
0.55
0.209
1.11
0.367
1.67
0.453
2.23
0.487
2.79
0.497

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