document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204556>Question 204556</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131752049/algebrahomeworkh>thinking mathmatically</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> This question is about using a z-table.<BR>\n" );
document.write( "Use a z-table to find the specified area.<BR>\n" );
document.write( "a.To the left of z=1.13<BR>\n" );
document.write( "b.To the right of z=-1.82\r<BR>\n" );
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document.write( "I have the table but do not understand the question. On the test it will be multiple choice but I do not even know what to look for . Your help is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154411 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your z score table should tell you the area under the normal probability distribution curve either to the left of the z-score or to the right of the z-score.<BR>\n" );
document.write( "for example, the z-table in the following web address tells the area to the left of the z-score.<BR>\n" );
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document.write( "http://lilt.ilstu.edu/dasacke/eco148/ZTable.htm<BR>\n" );
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document.write( "your first problem is to find the area to the left of z = 1.13.<BR>\n" );
document.write( "you can do this directly using this table because this table is telling you the area under the curve to the left of the z-score.<BR>\n" );
document.write( "you find 1.1 in the vertical index and .03 in the horizontal index.<BR>\n" );
document.write( "the area to the left of a z-score of 1.13 would be .8708 meaning that a z-score of 1.13 is higher than 87.08% of the population scores.  <BR>\n" );
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document.write( "your second problem is to find the area to the right of z = -1.82<BR>\n" );
document.write( "you can do this indirectly using the same table.<BR>\n" );
document.write( "look for the z-score of -1.82.<BR>\n" );
document.write( "that would be -1.8 on the vertical index and .02 on the horizontal index.<BR>\n" );
document.write( "the area to the left of a z-score of -1.82 would be .0344 meaning that a z-score of -1.82 is higher than 3.44% of the population.  <BR>\n" );
document.write( "Since they wanted the area to the right of  -1.82, and this is showing you the area to the left of -1.82, you need to take 1 - the number shown to get the area to the right of -1.82.  1 - .0344 = .9656 meaning that the z-score of -1.82 is less than 96.56% of the population scores.<BR>\n" );
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document.write( "if you use an online z-score calculator you can see this graphically.<BR>\n" );
document.write( "one such calculator can be found at the following website.<BR>\n" );
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document.write( "http://davidmlane.com/hyperstat/z_table.html<BR>\n" );
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document.write( "there are two tables at this website.<BR>\n" );
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document.write( "use the top table.<BR>\n" );
document.write( "enter the mean of 0<BR>\n" );
document.write( "enter the standard deviation of 1<BR>\n" );
document.write( "enter 1.13 in the below selection box which means area under the curve to the left of the value.<BR>\n" );
document.write( "the answer is automatically displayed as .870762.  it agrees with the value of .8708 derived from the table but carries it out to more decimal places.<BR>\n" );
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document.write( "use the top table again.<BR>\n" );
document.write( "enter -1.82 in above selection box which means area under the curve to the right of the value.<BR>\n" );
document.write( "the answer is automatically displayed as .965620.  it agrees with the value of .9656 derived from the table but carries it out to more decimal places.<BR>\n" );
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document.write( "it's a lot easier to use then the manual table and it's a good way to check if your use of the manual table is accurate.<BR>\n" );
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