document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191930>Question 1191930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a normal distribution if the value of mean is 70 and standard deviation is 15.75 find two points. <BR>\n" );
document.write( "(a) in which it contains 98% area between them<BR>\n" );
document.write( ",(b) in which it contains 95% area between them<BR>\n" );
document.write( "((c) in which it contains 85% area between them<BR>\n" );
document.write( ",(d) In which it contains 60% area between them </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823794 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=823794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 70 and standard deviation is 15.75.<BR>\n" );
document.write( "you want to find two points that contain different percentages of the area under the normal distribution curve between them.<BR>\n" );
document.write( "you would be looking for the critical z-scores that would have the stated area between them.<BR>\n" );
document.write( "a statistical calculator makes this easy.<BR>\n" );
document.write( "one online calculator that you can use can be found at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "here are your results using this calculator.\r<BR>\n" );
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document.write( "to solve this problem, you select value from an area, enter the area (decimal equivalent, not percent), enter the mean and the standard deviation, select between and then calculate.\r<BR>\n" );
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document.write( "if you want z-scores rather than raw scores, enter 0 for mean and 1 for standard deviation.<BR>\n" );
document.write( "if you do that, then you will have to use the z-score formula to find the raw score.<BR>\n" );
document.write( "there is no need, however, because the calculator does that for you.\r<BR>\n" );
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document.write( "i did one just to show you what i mean.<BR>\n" );
document.write( "you do everything you did above except you enter 0 for the mean and 1 for the standard deviation.<BR>\n" );
document.write( "you enter .98 for the area and select between.<BR>\n" );
document.write( "it tells you that the z-scores are -2.326 to 2.326<BR>\n" );
document.write( "to find the raw score, you use the z-score formula.<BR>\n" );
document.write( "for z-score of -2.326, the formula becomes -2.326 = (x - 70) / 15.75<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = -2.326 * 15.75 + 70 = 33.3655.<BR>\n" );
document.write( "this is very close to what you got working from raw scores directly, but it will not always be right on because of rounding differences.\r<BR>\n" );
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document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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