document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139040>Question 1139040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> need help in Finding the z-score for the standard normal distribution where: P(z < +a) = 0.8980 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756842 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=756842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think that what this is sayi8ng is that the probability of the z-score being less than x-score is .8980, the other z-score being indicated by the letter a.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you want to find the z-score that has an area under the normal distrivbution curve to the left of the z-score of a equal to .8980.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you look it up in the z-score table, you will find that the area to the left of the z-score is as shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z-score of 1.27 = .89796<BR>\n" );
document.write( "z-score of 1.28 = .89973\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the area to the left of the z-score that you want is .8980.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can manually interpolate to get in the ball park, or you can use a z-score calculator that does the interpolation for you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it's so much easier to get a z-score calculator and have it tell you what the required z-score is.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i used the online z-score calculator found at <a  rel=nofollow HREF= \"http://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">http://davidmlane.com/hyperstat/z_table.html</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i used the value from an area portion of the calculator and told it that i wanted the z-score that had an area of .8980 below it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the calculator told me that the indicated z-score was 1.27.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this made sense since the area in the table to the left of the z-score of 1.27 was very close to .8980, so the difference had to be minimal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the table i used can be found at <a  rel=nofollow HREF= \"https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf\" target = \"_blank\">https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "look for the z-score of 1.27 and you will see that the area to the left of it is .89796 which is only .00004 units away from .8980.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the display from the online calculator is shown below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/041401.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "any questions on this, send an email to dtheophilis@gmail.com.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );