Activity 1 Identify the regions under the normal curve of the following standard normal values using the z table (refer to the picture) 1. z = -3.25 2. z = 1.25 3. z = 0.56 4. z = 3 5. z = 1.96 6. z = -1.33 7. z = -2.5 8. z = 0.29 9. z = -0.13 10. z = -1.96

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Activity 1 Identify the regions under the normal curve of the following standard normal values using the z table (refer to the picture) 1. z = -3.25 2. z = 1.25 3. z = 0.56 4. z = 3 5. z = 1.96 6. z = -1.33 7. z = -2.5 8. z = 0.29 9. z = -0.13 10. z = -1.96
Statistics and Probability
Appendix A
Table of Areas under the Normal Curve
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.0000
.0040
.0080
.0120
.0160
.0199
.0239
.0279
.0319
.0359
(0.1
.0398
.0438
.0478
.0517
.0557
.0596
.0636
.0675
.0714
.0753
.0793
.0832
.0871
0910
.0948
.0987
1026
.1064
1103
.1141
0.2
.1255<.1293
.1664
.1179
.1217
.1331
.1368
1406
1443
1480
.1517
0.3
0.4
.1554
.1591
.1628
.1700
1736
.1772
.1808
1844
1879
0.5
1915
.1950
.1985
.2019
2054
.2088
.2123
.2157
.2190
.2224
0.6
2257
.2291
.2324
.2357
2389
.2422
.2454
.2486
.2517
.2549
0.7
.2580
.2611
.2642
.2673
.2704
.2734
.2764
.2794
.2823
.2852
0.8
2881
.2910
.2939
.2967
.2995
.3023
.3051
.3078
.3106
.3133
0.9
.3159
.3186
.3212
.3238
.3264
.3289
.3315
.3340
.3365
.3389
1.0
.3413
.3438
.3461
.3485
.3508
.3531
.3554
.3577
.3599
.3621
1.1
.3643
.3665
.3686
.3708
.3729
.3749
.3770
.3790
.3810
.3830
1.2
.3849
.3869
.3888
.3907
.3925
.3944
.3962
.3980
.3997
.4015
1.3
4032
.4049
4066
.4082
4099
.4115
.4131
.4147
.4162
.4177
1.4
4192
.4207
.4222
.4236
.4251
.4265
.4279
4292
.4306
.4319
1.5
.4332
4345
.4357
.4370
.4382
.4394
.4406
.4418
.4429
4441
1.6
4452
.4463
1474
.4484
.4495*
.4505
.4515
.4525
.4535
.4545
1.7.
4554
4564
.4573
.4582
4591
.4599
.4608
.4616
.4625-.4633
1.8
4641
4649
.4656
.4664
.4671
.4678
.4686
.4693
4699
4706
1.9
.4713
.4719
.4726
.4732
.4738
.4744
.4750
.4756
.4761
.4767
2.0
.4772
.4778
.4783
.4788
.4793
.4798
.4803
.4808
.4812
.4817
2.1
.4821
4826
.4830
.4834
.4838
.4842
:4846
.4850
.4854
.4857
2.2
4861
.4864
.4868
.4871
.4875
.4878
.4881
.4884
.4887
.4890
2.3
.4893
.4896
.4898
.4901
.4904
.4906
.4909
4911
.4913
4916
2.4
.4918
4920
4922
4925
.4927
.4929
.4931
.4932
.4934
.4936
2.5
.4938
.4940
4941
4943
.4945
.4946
.4948
.4949*
.4951
.4952
2.6
.4953
4955
.4956
.4957
.4959
.4960
.4961
.4962
.4963
.4964
2.7 -.4965
4966
.4967
.4968
.4969
.4970
.4971
.4972
.4973
.4974
2.8
.4974
.4975
.4976
.4977
.4977
.4978
4979
.4979
4980
.4981
2.9
4981
.4982
.4982
4983
.4984
.4984
.4985
.4985
4986
.4986
3.0
.4987
4987
.4987
.4988
.4988
.4989
.4989
.4989
4990
.4990
For values of z above 3.09, use 0.4999 for the area.
Adopted from Mario F. Triola. (1995). Elementary statistics, 6th ed. New York: Addison-Wesley.
238
CONCEPtUAL MATH& BEYOND
of
222
Transcribed Image Text:Statistics and Probability Appendix A Table of Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 (0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .0793 .0832 .0871 0910 .0948 .0987 1026 .1064 1103 .1141 0.2 .1255<.1293 .1664 .1179 .1217 .1331 .1368 1406 1443 1480 .1517 0.3 0.4 .1554 .1591 .1628 .1700 1736 .1772 .1808 1844 1879 0.5 1915 .1950 .1985 .2019 2054 .2088 .2123 .2157 .2190 .2224 0.6 2257 .2291 .2324 .2357 2389 .2422 .2454 .2486 .2517 .2549 0.7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 0.8 2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3365 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015 1.3 4032 .4049 4066 .4082 4099 .4115 .4131 .4147 .4162 .4177 1.4 4192 .4207 .4222 .4236 .4251 .4265 .4279 4292 .4306 .4319 1.5 .4332 4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 4441 1.6 4452 .4463 1474 .4484 .4495* .4505 .4515 .4525 .4535 .4545 1.7. 4554 4564 .4573 .4582 4591 .4599 .4608 .4616 .4625-.4633 1.8 4641 4649 .4656 .4664 .4671 .4678 .4686 .4693 4699 4706 1.9 .4713 .4719 .4726 .4732 .4738 .4744 .4750 .4756 .4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817 2.1 .4821 4826 .4830 .4834 .4838 .4842 :4846 .4850 .4854 .4857 2.2 4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890 2.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 4911 .4913 4916 2.4 .4918 4920 4922 4925 .4927 .4929 .4931 .4932 .4934 .4936 2.5 .4938 .4940 4941 4943 .4945 .4946 .4948 .4949* .4951 .4952 2.6 .4953 4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964 2.7 -.4965 4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974 2.8 .4974 .4975 .4976 .4977 .4977 .4978 4979 .4979 4980 .4981 2.9 4981 .4982 .4982 4983 .4984 .4984 .4985 .4985 4986 .4986 3.0 .4987 4987 .4987 .4988 .4988 .4989 .4989 .4989 4990 .4990 For values of z above 3.09, use 0.4999 for the area. Adopted from Mario F. Triola. (1995). Elementary statistics, 6th ed. New York: Addison-Wesley. 238 CONCEPtUAL MATH& BEYOND of 222
Englewood CIiffs, New Jersey: Prentice-Hall Inc. and McClave, J.T: (2003). Statistics. Upper
From Hopkins, K.D. and Glass, G.V. (1978). Basic Statistics for the Behavioral Sciences.
Statistics and Probability
Appendix B
Toble for t-Distribution
Degreos of
Freedom
(n-)
Confidence Coefficiont
(amount of a in two talls)
0,90
0.95
0.99
2.
6.314
12.706
63.657
2.920
4.303
9,925
3.182
5.841
4
3.
2.353
4,604
4
2.132
2.776
4.032
2.015
2.571
3.707
6
1.943
2.447
2.365
3.499
7.
1.895
2.306
3.355
9.
8
1.860
3.250
9.
1.833
2.262
10
3.169
10
1.812
2.228
11
2.201
3.106
12
11
1.796
3.055
1.782
2.179
13
12
2.160
3.012
13
1.771
14
2.145
2.977
14
1.761
15
1.753
2.131
2.947
16
15
1.746
2.120
2.921
17
16
1.740
2.110
2.898
18
17
1.734
2.101.
2.878
18
19
1.729
2.093
2.861
19
20
1.725
2.086
2.845
20
21
1.721
2,080
2.831
21
22
1.717
2.074
2.819
22
23
1.714
2.069
2.807
23
24
1.711
2.064
2.797
24
25
1.708
2.060
2.787
25
26
1.706
2.056
2.779
26
27
1.703
2.052
2.771
27
28
1.701
2.048
2.763
28
29
1.699
2.045
2.756
29
30
1.697
2.042
2.750
30
31
1.684
2.021
2.714
40
41
60
1.671
2.000
2.660
61
1.645
1.960
2.576
From Hobkins, K.D. and Glass, G.V. (1978). Baslc Statistcs for the Behavioral Sciene
Saddle River, New Jersey: Prentice Hall Inc.
CONCEPTUAL MatH & BEYOND
Transcribed Image Text:Englewood CIiffs, New Jersey: Prentice-Hall Inc. and McClave, J.T: (2003). Statistics. Upper From Hopkins, K.D. and Glass, G.V. (1978). Basic Statistics for the Behavioral Sciences. Statistics and Probability Appendix B Toble for t-Distribution Degreos of Freedom (n-) Confidence Coefficiont (amount of a in two talls) 0,90 0.95 0.99 2. 6.314 12.706 63.657 2.920 4.303 9,925 3.182 5.841 4 3. 2.353 4,604 4 2.132 2.776 4.032 2.015 2.571 3.707 6 1.943 2.447 2.365 3.499 7. 1.895 2.306 3.355 9. 8 1.860 3.250 9. 1.833 2.262 10 3.169 10 1.812 2.228 11 2.201 3.106 12 11 1.796 3.055 1.782 2.179 13 12 2.160 3.012 13 1.771 14 2.145 2.977 14 1.761 15 1.753 2.131 2.947 16 15 1.746 2.120 2.921 17 16 1.740 2.110 2.898 18 17 1.734 2.101. 2.878 18 19 1.729 2.093 2.861 19 20 1.725 2.086 2.845 20 21 1.721 2,080 2.831 21 22 1.717 2.074 2.819 22 23 1.714 2.069 2.807 23 24 1.711 2.064 2.797 24 25 1.708 2.060 2.787 25 26 1.706 2.056 2.779 26 27 1.703 2.052 2.771 27 28 1.701 2.048 2.763 28 29 1.699 2.045 2.756 29 30 1.697 2.042 2.750 30 31 1.684 2.021 2.714 40 41 60 1.671 2.000 2.660 61 1.645 1.960 2.576 From Hobkins, K.D. and Glass, G.V. (1978). Baslc Statistcs for the Behavioral Sciene Saddle River, New Jersey: Prentice Hall Inc. CONCEPTUAL MatH & BEYOND
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