Z-Score Table (-3.9 to -3.8)

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Questions and Answers

What does the standard normal distribution table provide?

  • The area to the left of the Z score (correct)
  • The area to the right of the Z score
  • The standard deviation of the data
  • The Z score for a given area

If a Z-score is -3.99, what is the area to the left?

  • 0.99997
  • 0.00005
  • 0.00003 (correct)
  • 0.00000

What is the area to the left for a Z-score of -3.00?

  • 0.00100
  • 0.00187
  • 0.00135 (correct)
  • 0.99865

Flashcards

Table Values

Represents the area to the left of a given Z score in a standard normal distribution.

Z Score

A score indicating how many standard deviations an element is from the mean.

Z=0

The probability of finding a Z-score equal to 0.

Z > 3

Getting closer and closer to perfect certainty.

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Z < -3

Getting closer and closer to perfect impossibility.

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Study Notes

  • The table provides area values to the left of the Z score for the standard normal distribution

Z Score -3.9

  • A Z score of -3.9 with .00 has an area to the left of .00005
  • A Z score of -3.9 with .01 has an area to the left of .00005
  • A Z score of -3.9 with .02 has an area to the left of .00004
  • A Z score of -3.9 with .03 has an area to the left of .00004
  • A Z score of -3.9 with .04 has an area to the left of .00004
  • A Z score of -3.9 with .05 has an area to the left of .00004
  • A Z score of -3.9 with .06 has an area to the left of .00004
  • A Z score of -3.9 with .07 has an area to the left of .00004
  • A Z score of -3.9 with .08 has an area to the left of .00003
  • A Z score of -3.9 with .09 has an area to the left of .00003

Z Score -3.8

  • A Z score of -3.8 with .00 has an area to the left of .00007
  • A Z score of -3.8 with .01 has an area to the left of .00007
  • A Z score of -3.8 with .02 has an area to the left of .00007
  • A Z score of -3.8 with .03 has an area to the left of .00006
  • A Z score of -3.8 with .04 has an area to the left of .00006
  • A Z score of -3.8 with .05 has an area to the left of .00006
  • A Z score of -3.8 with .06 has an area to the left of .00006
  • A Z score of -3.8 with .07 has an area to the left of .00005
  • A Z score of -3.8 with .08 has an area to the left of .00005
  • A Z score of -3.8 with .09 has an area to the left of .00005

Z Score -3.7

  • A Z score of -3.7 with .00 has an area to the left of .00011
  • A Z score of -3.7 with .01 has an area to the left of .00010
  • A Z score of -3.7 with .02 has an area to the left of .00010
  • A Z score of -3.7 with .03 has an area to the left of .00010
  • A Z score of -3.7 with .04 has an area to the left of .00009
  • A Z score of -3.7 with .05 has an area to the left of .00009
  • A Z score of -3.7 with .06 has an area to the left of .00008
  • A Z score of -3.7 with .07 has an area to the left of .00008
  • A Z score of -3.7 with .08 has an area to the left of .00008
  • A Z score of -3.7 with .09 has an area to the left of .00008

Z Score -3.6

  • A Z score of -3.6 with .00 has an area to the left of .00016
  • A Z score of -3.6 with .01 has an area to the left of .00015
  • A Z score of -3.6 with .02 has an area to the left of .00015
  • A Z score of -3.6 with .03 has an area to the left of .00014
  • A Z score of -3.6 with .04 has an area to the left of .00014
  • A Z score of -3.6 with .05 has an area to the left of .00013
  • A Z score of -3.6 with .06 has an area to the left of .00013
  • A Z score of -3.6 with .07 has an area to the left of .00012
  • A Z score of -3.6 with .08 has an area to the left of .00012
  • A Z score of -3.6 with .09 has an area to the left of .00011

Z Score -3.5

  • A Z score of -3.5 with .00 has an area to the left of .00023
  • A Z score of -3.5 with .01 has an area to the left of .00022
  • A Z score of -3.5 with .02 has an area to the left of .00022
  • A Z score of -3.5 with .03 has an area to the left of .00021
  • A Z score of -3.5 with .04 has an area to the left of .00020
  • A Z score of -3.5 with .05 has an area to the left of .00019
  • A Z score of -3.5 with .06 has an area to the left of .00019
  • A Z score of -3.5 with .07 has an area to the left of .00018
  • A Z score of -3.5 with .08 has an area to the left of .00017
  • A Z score of -3.5 with .09 has an area to the left of .00017

Z Score -3.4

  • A Z score of -3.4 with .00 has an area to the left of .00034
  • A Z score of -3.4 with .01 has an area to the left of .00032
  • A Z score of -3.4 with .02 has an area to the left of .00031
  • A Z score of -3.4 with .03 has an area to the left of .00030
  • A Z score of -3.4 with .04 has an area to the left of .00029
  • A Z score of -3.4 with .05 has an area to the left of .00028
  • A Z score of -3.4 with .06 has an area to the left of .00027
  • A Z score of -3.4 with .07 has an area to the left of .00026
  • A Z score of -3.4 with .08 has an area to the left of .00025
  • A Z score of -3.4 with .09 has an area to the left of .00024

Z Score -3.3

  • A Z score of -3.3 with .00 has an area to the left of .00048
  • A Z score of -3.3 with .01 has an area to the left of .00047
  • A Z score of -3.3 with .02 has an area to the left of .00045
  • A Z score of -3.3 with .03 has an area to the left of .00043
  • A Z score of -3.3 with .04 has an area to the left of .00042
  • A Z score of -3.3 with .05 has an area to the left of .00040
  • A Z score of -3.3 with .06 has an area to the left of .00039
  • A Z score of -3.3 with .07 has an area to the left of .00038
  • A Z score of -3.3 with .08 has an area to the left of .00036
  • A Z score of -3.3 with .09 has an area to the left of .00035

Z Score -3.2

  • A Z score of -3.2 with .00 has an area to the left of .00069
  • A Z score of -3.2 with .01 has an area to the left of .00066
  • A Z score of -3.2 with .02 has an area to the left of .00064
  • A Z score of -3.2 with .03 has an area to the left of .00062
  • A Z score of -3.2 with .04 has an area to the left of .00060
  • A Z score of -3.2 with .05 has an area to the left of .00058
  • A Z score of -3.2 with .06 has an area to the left of .00056
  • A Z score of -3.2 with .07 has an area to the left of .00054
  • A Z score of -3.2 with .08 has an area to the left of .00052
  • A Z score of -3.2 with .09 has an area to the left of .00050

Z Score -3.1

  • A Z score of -3.1 with .00 has an area to the left of .00097
  • A Z score of -3.1 with .01 has an area to the left of .00094
  • A Z score of -3.1 with .02 has an area to the left of .00090
  • A Z score of -3.1 with .03 has an area to the left of .00087
  • A Z score of -3.1 with .04 has an area to the left of .00084
  • A Z score of -3.1 with .05 has an area to the left of .00082
  • A Z score of -3.1 with .06 has an area to the left of .00079
  • A Z score of -3.1 with .07 has an area to the left of .00076
  • A Z score of -3.1 with .08 has an area to the left of .00074
  • A Z score of -3.1 with .09 has an area to the left of .00071

Z Score -3.0

  • A Z score of -3.0 with .00 has an area to the left of .00135
  • A Z score of -3.0 with .01 has an area to the left of .00131
  • A Z score of -3.0 with .02 has an area to the left of .00126
  • A Z score of -3.0 with .03 has an area to the left of .00122
  • A Z score of -3.0 with .04 has an area to the left of .00118
  • A Z score of -3.0 with .05 has an area to the left of .00114
  • A Z score of -3.0 with .06 has an area to the left of .00111
  • A Z score of -3.0 with .07 has an area to the left of .00107
  • A Z score of -3.0 with .08 has an area to the left of .00104
  • A Z score of -3.0 with .09 has an area to the left of .00100

Z Score -2.9

  • A Z score of -2.9 with .00 has an area to the left of .00187
  • A Z score of -2.9 with .01 has an area to the left of .00181
  • A Z score of -2.9 with .02 has an area to the left of .00175
  • A Z score of -2.9 with .03 has an area to the left of .00169
  • A Z score of -2.9 with .04 has an area to the left of .00164
  • A Z score of -2.9 with .05 has an area to the left of .00159
  • A Z score of -2.9 with .06 has an area to the left of .00154
  • A Z score of -2.9 with .07 has an area to the left of .00149
  • A Z score of -2.9 with .08 has an area to the left of .00144
  • A Z score of -2.9 with .09 has an area to the left of .00139

Z Score -2.8

  • A Z score of -2.8 with .00 has an area to the left of .00256
  • A Z score of -2.8 with .01 has an area to the left of .00248
  • A Z score of -2.8 with .02 has an area to the left of .00240
  • A Z score of -2.8 with .03 has an area to the left of .00233
  • A Z score of -2.8 with .04 has an area to the left of .00226
  • A Z score of -2.8 with .05 has an area to the left of .00219
  • A Z score of -2.8 with .06 has an area to the left of .00212
  • A Z score of -2.8 with .07 has an area to the left of .00205
  • A Z score of -2.8 with .08 has an area to the left of .00199
  • A Z score of -2.8 with .09 has an area to the left of .00193

Z Score -2.7

  • A Z score of -2.7 with .00 has an area to the left of .00347
  • A Z score of -2.7 with .01 has an area to the left of .00336
  • A Z score of -2.7 with .02 has an area to the left of .00326
  • A Z score of -2.7 with .03 has an area to the left of .00317
  • A Z score of -2.7 with .04 has an area to the left of .00307
  • A Z score of -2.7 with .05 has an area to the left of .00298
  • A Z score of -2.7 with .06 has an area to the left of .00289
  • A Z score of -2.7 with .07 has an area to the left of .00280
  • A Z score of -2.7 with .08 has an area to the left of .00272
  • A Z score of -2.7 with .09 has an area to the left of .00264

Z Score -2.6

  • A Z score of -2.6 with .00 has an area to the left of .00466
  • A Z score of -2.6 with .01 has an area to the left of .00453
  • A Z score of -2.6 with .02 has an area to the left of .00440
  • A Z score of -2.6 with .03 has an area to the left of .00427
  • A Z score of -2.6 with .04 has an area to the left of .00415
  • A Z score of -2.6 with .05 has an area to the left of .00402
  • A Z score of -2.6 with .06 has an area to the left of .00391
  • A Z score of -2.6 with .07 has an area to the left of .00379
  • A Z score of -2.6 with .08 has an area to the left of .00368
  • A Z score of -2.6 with .09 has an area to the left of .00357

Z Score -2.5

  • A Z score of -2.5 with .00 has an area to the left of .00621
  • A Z score of -2.5 with .01 has an area to the left of .00604
  • A Z score of -2.5 with .02 has an area to the left of .00587
  • A Z score of -2.5 with .03 has an area to the left of .00570
  • A Z score of -2.5 with .04 has an area to the left of .00554
  • A Z score of -2.5 with .05 has an area to the left of .00539
  • A Z score of -2.5 with .06 has an area to the left of .00523
  • A Z score of -2.5 with .07 has an area to the left of .00508
  • A Z score of -2.5 with .08 has an area to the left of .00494
  • A Z score of -2.5 with .09 has an area to the left of .00480

Z Score -2.4

  • A Z score of -2.4 with .00 has an area to the left of .00820
  • A Z score of -2.4 with .01 has an area to the left of .00798
  • A Z score of -2.4 with .02 has an area to the left of .00776
  • A Z score of -2.4 with .03 has an area to the left of .00755
  • A Z score of -2.4 with .04 has an area to the left of .00734
  • A Z score of -2.4 with .05 has an area to the left of .00714
  • A Z score of -2.4 with .06 has an area to the left of .00695
  • A Z score of -2.4 with .07 has an area to the left of .00676
  • A Z score of -2.4 with .08 has an area to the left of .00657
  • A Z score of -2.4 with .09 has an area to the left of .00639

Z Score -2.3

  • A Z score of -2.3 with .00 has an area to the left of .01072
  • A Z score of -2.3 with .01 has an area to the left of .01044
  • A Z score of -2.3 with .02 has an area to the left of .01017
  • A Z score of -2.3 with .03 has an area to the left of .00990
  • A Z score of -2.3 with .04 has an area to the left of .00964
  • A Z score of -2.3 with .05 has an area to the left of .00939
  • A Z score of -2.3 with .06 has an area to the left of .00914
  • A Z score of -2.3 with .07 has an area to the left of .00889
  • A Z score of -2.3 with .08 has an area to the left of .00866
  • A Z score of -2.3 with .09 has an area to the left of .00842

Z Score -2.2

  • A Z score of -2.2 with .00 has an area to the left of .01390
  • A Z score of -2.2 with .01 has an area to the left of .01355
  • A Z score of -2.2 with .02 has an area to the left of .01321
  • A Z score of -2.2 with .03 has an area to the left of .01287
  • A Z score of -2.2 with .04 has an area to the left of .01255
  • A Z score of -2.2 with .05 has an area to the left of .01222
  • A Z score of -2.2 with .06 has an area to the left of .01191
  • A Z score of -2.2 with .07 has an area to the left of .01160
  • A Z score of -2.2 with .08 has an area to the left of .01130
  • A Z score of -2.2 with .09 has an area to the left of .01101

Z Score -2.1

  • A Z score of -2.1 with .00 has an area to the left of .01786
  • A Z score of -2.1 with .01 has an area to the left of .01743
  • A Z score of -2.1 with .02 has an area to the left of .01700
  • A Z score of -2.1 with .03 has an area to the left of .01659
  • A Z score of -2.1 with .04 has an area to the left of .01618
  • A Z score of -2.1 with .05 has an area to the left of .01578
  • A Z score of -2.1 with .06 has an area to the left of .01539
  • A Z score of -2.1 with .07 has an area to the left of .01500
  • A Z score of -2.1 with .08 has an area to the left of .01463
  • A Z score of -2.1 with .09 has an area to the left of .01426

Z Score -2.0

  • A Z score of -2.0 with .00 has an area to the left of .02275
  • A Z score of -2.0 with .01 has an area to the left of .02222
  • A Z score of -2.0 with .02 has an area to the left of .02169
  • A Z score of -2.0 with .03 has an area to the left of .02118
  • A Z score of -2.0 with .04 has an area to the left of .02068
  • A Z score of -2.0 with .05 has an area to the left of .02018
  • A Z score of -2.0 with .06 has an area to the left of .01970
  • A Z score of -2.0 with .07 has an area to the left of .01923
  • A Z score of -2.0 with .08 has an area to the left of .01876
  • A Z score of -2.0 with .09 has an area to the left of .01831

Z Score -1.9

  • A Z score of -1.9 with .00 has an area to the left of .02872
  • A Z score of -1.9 with .01 has an area to the left of .02807
  • A Z score of -1.9 with .02 has an area to the left of .02743
  • A Z score of -1.9 with .03 has an area to the left of .02680
  • A Z score of -1.9 with .04 has an area to the left of .02619
  • A Z score of -1.9 with .05 has an area to the left of .02559
  • A Z score of -1.9 with .06 has an area to the left of .02500
  • A Z score of -1.9 with .07 has an area to the left of .02442
  • A Z score of -1.9 with .08 has an area to the left of .02385
  • A Z score of -1.9 with .09 has an area to the left of .02330

Z Score -1.8

  • A Z score of -1.8 with .00 has an area to the left of .03593
  • A Z score of -1.8 with .01 has an area to the left of .03515
  • A Z score of -1.8 with .02 has an area to the left of .03438
  • A Z score of -1.8 with .03 has an area to the left of .03362
  • A Z score of -1.8 with .04 has an area to the left of .03288
  • A Z score of -1.8 with .05 has an area to the left of .03216
  • A Z score of -1.8 with .06 has an area to the left of .03144
  • A Z score of -1.8 with .07 has an area to the left of .03074
  • A Z score of -1.8 with .08 has an area to the left of .03005
  • A Z score of -1.8 with .09 has an area to the left of .02938

Z Score -1.7

  • A Z score of -1.7 with .00 has an area to the left of .04457
  • A Z score of -1.7 with .01 has an area to the left of .04363
  • A Z score of -1.7 with .02 has an area to the left of .04272
  • A Z score of -1.7 with .03 has an area to the left of .04182
  • A Z score of -1.7 with .04 has an area to the left of .04093
  • A Z score of -1.7 with .05 has an area to the left of .04006
  • A Z score of -1.7 with .06 has an area to the left of .03920
  • A Z score of -1.7 with .07 has an area to the left of .03836
  • A Z score of -1.7 with .08 has an area to the left of .03754
  • A Z score of -1.7 with .09 has an area to the left of .03673

Z Score -1.6

  • A Z score of -1.6 with .00 has an area to the left of .05480
  • A Z score of -1.6 with .01 has an area to the left of .05370
  • A Z score of -1.6 with .02 has an area to the left of .05262
  • A Z score of -1.6 with .03 has an area to the left of .05155
  • A Z score of -1.6 with .04 has an area to the left of .05050
  • A Z score of -1.6 with .05 has an area to the left of .04947
  • A Z score of -1.6 with .06 has an area to the left of .04846
  • A Z score of -1.6 with .07 has an area to the left of .04746
  • A Z score of -1.6 with .08 has an area to the left of .04648
  • A Z score of -1.6 with .09 has an area to the left of .04551

Z Score -1.5

  • A Z score of -1.5 with .00 has an area to the left of .06681
  • A Z score of -1.5 with .01 has an area to the left of .06552
  • A Z score of -1.5 with .02 has an area to the left of .06426
  • A Z score of -1.5 with .03 has an area to the left of .06301
  • A Z score of -1.5 with .04 has an area to the left of .06178
  • A Z score of -1.5 with .05 has an area to the left of .06057
  • A Z score of -1.5 with .06 has an area to the left of .05938
  • A Z score of -1.5 with .07 has an area to the left of .05821
  • A Z score of -1.5 with .08 has an area to the left of .05705
  • A Z score of -1.5 with .09 has an area to the left of .05592

Z Score -1.4

  • A Z score of -1.4 with .00 has an area to the left of .08076
  • A Z score of -1.4 with .01 has an area to the left of .07927
  • A Z score of -1.4 with .02 has an area to the left of .07780
  • A Z score of -1.4 with .03 has an area to the left of .07636
  • A Z score of -1.4 with .04 has an area to the left of .07493
  • A Z score of -1.4 with .05 has an area to the left of .07353
  • A Z score of -1.4 with .06 has an area to the left of .07215
  • A Z score of -1.4 with .07 has an area to the left of .07078
  • A Z score of -1.4 with .08 has an area to the left of .06944
  • A Z score of -1.4 with .09 has an area to the left of .06811

Z Score -1.3

  • A Z score of -1.3 with .00 has an area to the left of .09680
  • A Z score of -1.3 with .01 has an area to the left of .09510
  • A Z score of -1.3 with .02 has an area to the left of .09342
  • A Z score of -1.3 with .03 has an area to the left of .09176
  • A Z score of -1.3 with .04 has an area to the left of .09012
  • A Z score of -1.3 with .05 has an area to the left of .08851
  • A Z score of -1.3 with .06 has an area to the left of .08691
  • A Z score of -1.3 with .07 has an area to the left of .08534
  • A Z score of -1.3 with .08 has an area to the left of .08379
  • A Z score of -1.3 with .09 has an area to the left of .08226

Z Score -1.2

  • A Z score of -1.2 with .00 has an area to the left of .11507
  • A Z score of -1.2 with .01 has an area to the left of .11314
  • A Z score of -1.2 with .02 has an area to the left of .11123
  • A Z score of -1.2 with .03 has an area to the left of .10935
  • A Z score of -1.2 with .04 has an area to the left of .10749
  • A Z score of -1.2 with .05 has an area to the left of .10565
  • A Z score of -1.2 with .06 has an area to the left of .10383
  • A Z score of -1.2 with .07 has an area to the left of .10204
  • A Z score of -1.2 with .08 has an area to the left of .10027
  • A Z score of -1.2 with .09 has an area to the left of .09853

Z Score -1.1

  • A Z score of -1.1 with .00 has an area to the left of .13567
  • A Z score of -1.1 with .01 has an area to the left of .13350
  • A Z score of -1.1 with .02 has an area to the left of .13136
  • A Z score of -1.1 with .03 has an area to the left of .12924
  • A Z score of -1.1 with .04 has an area to the left of .12714
  • A Z score of -1.1 with .05 has an area to the left of .12507
  • A Z score of -1.1 with .06 has an area to the left of .12302
  • A Z score of -1.1 with .07 has an area to the left of .12100
  • A Z score of -1.1 with .08 has an area to the left of .11900
  • A Z score of -1.1 with .09 has an area to the left of .11702

Z Score -1.0

  • A Z score of -1.0 with .00 has an area to the left of .15866
  • A Z score of -1.0 with .01 has an area to the left of .15625
  • A Z score of -1.0 with .02 has an area to the left of .15386
  • A Z score of -1.0 with .03 has an area to the left of .1

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