����e�S���t!Z���+&��L�0$�CW��&Z��&�fxpL�e�#_� ��G���F{fCt,+;W8�P��� iH��HޝGL�Bú��K�!C� &�*���C���(G��D�bu�e���J���lH\��HM���`��eC� 15 0 obj /Type/Font << Your email address will not be published. ��I!���p�uq }�ކ�z�t��V���.��o�����GO�OZ�=q,�y��fT�Q��~��c��44���u�b�?����g�A��i�˱Q�:q��Ӓ�V3�z��4��h�z!�fyi����j��ܗ���}��f[}������y���R��o�߾���{�8Bİ��6�}A�@��K����|�W��MG~dHD)1iT����p� /Length 6864 384.3 611.1 611.1 611.1 611.1 611.1 896.3 546.3 611.1 870.4 935.2 611.1 1077.8 1207.4 >> %PDF-1.2 Z-Score, also known as the standard score, indicates how many standard deviations an … @�-"�ă�"+f�c,��`��!��΅��C0���Ɇ=6�C\�&��ԯ(+�L�lh��� �&V66�tA6���Q6ć`y���x�#6B9B6���[Ǣ��+d,������{���6!R�b���[�@a.H�Eyq�V&N�]yaA_ �� a�SqM�BG,�vDE��lH�8��C�N�� 481.5 675.9 643.5 870.4 643.5 643.5 546.3 611.1 1222.2 611.1 611.1 611.1 0 0 0 0 /FirstChar 33 /LastChar 196 The table below contains the area under the standard normal curve from 0 to z. ���P�wc�@J*��!.D�al���U��2��p�O�cL��G����J��F �0�*M}����L��lHp\�,N�Ut,+;W8�P��� �L�Ш�K�� �Bh�KE�m@VD�Pa2P����ŝ��2��`���1w�@.�El���t^� �x7d.��9�N�U�,(+�p��W)o:!���r�Ap^�UB�� ��`� ��Π���ʆ����؛S"����J��&����WǩsV�������v�`�v^_��h:�d��)T��D���[��� Cumulative Probabilities of the Standard Normal Distribution N(0, 1) Left-sided area Left-sided area Left-sided area Left-sided area Left-sided area Left-sided area A z score is simply defined as the number of standard deviation from the mean. /FontDescriptor 14 0 R 570 517 571.4 437.2 540.3 595.8 625.7 651.4 277.8] /FirstChar 33 << >> �CF���>��"�^T���Hgx��&�C��,8�Z)�8a%Z8�Y�����1�,,pH\��5?�� 12 0 obj �gC�#G)aN�Uu,+;W8�P������֑�y��+��q���8��{*L�0��;�ѽ��*)�Q.P��t�GoE#6��E ��y6d.��4'ӪB��+�`�U��B�dZՅPa2���(i��ebeC�H�r7j��i�ec�HǕL��}to^">D��i� ǻ!�Q�V6'ӪB�8$�p����S��lH08�m���.D�al�Xk��7n�2��pXi���=8�4��pX� p�q�7��Ӈh�Ḯ���!�Q��:̈́�9ժB��+p,�{���P�D ��T��BpX� ���%�D�ha8�t���S���D�a�㺭\V�ԼI��-�pd��`l�(�.���.n�]����ҭ"Tէu������u:z�sӡZ3��MZ���ۺ��4�%��*#Vu_[i(��]�4bU�u�������o ޤU|���0uγ!����&N�U�,,pS�l 5�9���x-_=8��s�6 /Subtype/Type1 �!jx5�p�r��|�I����p� ������� �D������4��H- �FZ��kB|w�I��-ptS��j���[U��� G7U��P�X�W� The table has values for Φ(z) for nonnegative values for z (for the range 0 ≤ z ≤ 4.99). Let us understand the concept with the help of a solved example: Example: The test scores of students in a class test has a mean of 70 and with a standard deviation of 12. A standard normal table, also called the unit normal table or Z table , is a mathematical table for the values of Φ, which are the values of the cumulative distribution function of the normal distribution. A z-score greater than 0 represents an element greater than the mean. /Widths[622.5 466.3 591.4 828.1 517 362.8 654.2 1000 1000 1000 1000 277.8 277.8 500 A z-score equal to 1 represents an element, which is 1 standard deviation greater than the mean; a z-score equal to 2 signifies 2 standard deviations greater than the mean; etc. Since probability tables cannot be printed for every normal distribution, as there is an infinite variety of normal distribution, it is common practice to convert a normal to a standard normal and then use the z-score table to find probabilities. 9 0 obj A z-score equal to -1 represents an element, which is 1 standard deviation less than the mean; a z-score equal to -2 signifies 2 standard deviations less than the mean; etc. �T�����q��/�ю��Fq��B�8$�p¡�w/+~�+���-cąha8�M�3[��T&Z68�4�u%zpLi�e��J�%��,w��C�!�I �j>Z�����L��������}. 639.7 565.6 517.7 444.4 405.9 437.5 496.5 469.4 353.9 576.2 583.3 602.5 494 437.5 *�%�pt�a� SA���C�([L��]Y�0_�p:T���䑊d���)܋�/��ZZ0?����'����H� �3j�D�".D�alpڗsN�V=[e��JC NՅ�۪g+�p�W�@����'����m��v��TL��lHp��Uϧ�nU!����8��5S>O�J��ѩzV���@���ݜܳ7�e���Ґͭ:OwU�ha8�t��zs��w�ٛs����0��������EQ����MQ���� -�z&HD��j��b4�p�f���J��m�g|�b����p?/�z�� e�ЅxJ�^�T�E�*8K7���MI�k,ɽ߈ɂ�>�i��]t 0�2m�:�ѱ|�. Solution: The z score for the given data is. /Widths[277.8 500 833.3 500 833.3 777.8 277.8 388.9 388.9 500 777.8 277.8 333.3 277.8 A z-score equal to 0 represents an element equal to the mean. ®üJşã#–™™Sâuk¬È>v|ȳóW Áµm� As z-value increases, the normal table value also increases. 277.8 305.6 500 500 500 500 500 750 444.4 500 722.2 777.8 500 902.8 1013.9 777.8 This can be used to compute the cumulative distribution function values for the standard normal distribution . 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