document.write( "Question 658524: Cumulative Standard Normal Score Distribution Charts. I sure hope one of you tutors have some earthly idea's on this. If you can explain in simple language how to find and work a z-score. Example: a question from my work sheet.\r
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\n" ); document.write( "\n" ); document.write( "or the other one is: If the random variable z is a Standard Normal Score, what is P(-2.00 <_ z <_ +2.00)? How did you find this probability?\r
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Algebra.Com's Answer #410323 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi,Re TY, good news is that You will not be expected to do this \"long-hand\"
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document.write( "that's why there are charts, Excel functions, calculators like the TI83, etc
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document.write( "to find either the z-value given the P-value or the P-value given the z-value\r
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document.write( "for ex: using Excel function:  NORMSINV(.9625) = 1.7805 
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document.write( "and P(-2.00 <_ z <_ +2.00)= NORMSDIST(2)-NORMSDIST(-2) = .9544\r
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document.write( "Important to Understand z -values as they relate to the Standard Normal curve:
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document.write( "Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  
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document.write( "Note: z = 0 , 50% of the area under the curve is to the left and 50%  to the right
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document.write( "This particular 'chart' below shows the amount of area under the Normal distribution curve between z = 0 and the z given 
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document.write( "(half the total area to the left of the z-value)
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document.write( "that is to say one would add .50 to each entry for total area under the curve to the left of the z value.
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document.write( "Highlighted + .50 is .9625 and P(z<+a)=0.9625, a = 1.78  (the 8 coming from the .08 column)
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document.write( "As to P(-2.00 <_ z <_ +2.00) = .4772 + .4772 = .9544
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document.write( "Z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
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document.write( "0.0	0.0000	0.0040	0.0080	0.0120	0.0160	0.0199	0.0239	0.0279	0.0319	0.0359
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document.write( "0.1	0.0398	0.0438	0.0478	0.0517	0.0557	0.0596	0.0636	0.0675	0.0714	0.0753
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document.write( "0.2	0.0793	0.0832	0.0871	0.0910	0.0948	0.0987	0.1026	0.1064	0.1103	0.1141
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document.write( "0.3	0.1179	0.1217	0.1255	0.1293	0.1331	0.1368	0.1406	0.1443	0.1480	0.1517
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document.write( "0.4	0.1554	0.1591	0.1628	0.1664	0.1700	0.1736	0.1772	0.1808	0.1844	0.1879
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document.write( "0.5	0.1915	0.1950	0.1985	0.2019	0.2054	0.2088	0.2123	0.2157	0.2190	0.2224
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document.write( "0.6	0.2257	0.2291	0.2324	0.2357	0.2389	0.2422	0.2454	0.2486	0.2517	0.2549
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document.write( "0.7	0.2580	0.2611	0.2642	0.2673	0.2704	0.2734	0.2764	0.2794	0.2823	0.2852
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document.write( "0.8	0.2881	0.2910	0.2939	0.2967	0.2995	0.3023	0.3051	0.3078	0.3106	0.3133
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document.write( "0.9	0.3159	0.3186	0.3212	0.3238	0.3264	0.3289	0.3315	0.3340	0.3365	0.3389
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document.write( "1.0	0.3413	0.3438	0.3461	0.3485	0.3508	0.3531	0.3554	0.3577	0.3599	0.3621
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document.write( "1.1	0.3643	0.3665	0.3686	0.3708	0.3729	0.3749	0.3770	0.3790	0.3810	0.3830
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document.write( "1.2	0.3849	0.3869	0.3888	0.3907	0.3925	0.3944	0.3962	0.3980	0.3997	0.4015
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document.write( "1.3	0.4032	0.4049	0.4066	0.4082	0.4099	0.4115	0.4131	0.4147	0.4162	0.4177
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document.write( "1.4	0.4192	0.4207	0.4222	0.4236	0.4251	0.4265	0.4279	0.4292	0.4306	0.4319
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document.write( "1.5	0.4332	0.4345	0.4357	0.4370	0.4382	0.4394	0.4406	0.4418	0.4429	0.4441
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document.write( "1.6	0.4452	0.4463	0.4474	0.4484	0.4495	0.4505	0.4515	0.4525	0.4535	0.4545
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document.write( "1.7	0.4554	0.4564	0.4573	0.4582	0.4591	0.4599	0.4608	0.4616	\"highlight%280.4625%29\"	0.4633
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document.write( "1.8	0.4641	0.4649	0.4656	0.4664	0.4671	0.4678	0.4686	0.4693	0.4699	0.4706
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document.write( "1.9	0.4713	0.4719	0.4726	0.4732	0.4738	0.4744	0.4750	0.4756	0.4761	0.4767
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document.write( "2.0	\"highlight%280.4772%29\"	0.4778	0.4783	0.4788	0.4793	0.4798	0.4803	0.4808	0.4812	0.4817\r
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