document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148632>Question 1148632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the following problem, I have found some of the answers but I'm stuck on the last part. Here is what I have tried.\r<BR>\n" );
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document.write( " According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible.\r<BR>\n" );
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document.write( "My answers:<BR>\n" );
document.write( "What is the distribution of X? X ~ N   <BR>\n" );
document.write( "      mean is 64, standard deviation is 2.3<BR>\n" );
document.write( "Find the probability that the person is between 63.1 and 66.9 inches? <BR>\n" );
document.write( "      0.5485  (which is correct according to my online class)<BR>\n" );
document.write( "The middle 40% of Martian heights lie between what two numbers?<BR>\n" );
document.write( "      62.7948 and 65.2052 (which are INCORRECT).... <BR>\n" );
document.write( "      how can I figure this out? THANKS!!!!!! (I do not have a TI calculator and I don't want one!)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770057 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The middle 40% are where the probability is 0.2000 to the left and to the right of the midline. Want the z values for both of them, which are additive inverses of each other.<BR>\n" );
document.write( "this is z=-0.5244 and +0.5244<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "0.524=(x-64)/2.3<BR>\n" );
document.write( "1.2061=x-64<BR>\n" );
document.write( "x=65.2061 and also 62.7939\r<BR>\n" );
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document.write( "You did it properly--it is a matter of rounding, and 4 decimal places is not appropriate given the numbers they gave you. I would probably try doing it with rounding to 5 decimal places throughout and then round at the end.  Normally, the z is rounded to two decimal places, rarely three, and the probability to four.\r<BR>\n" );
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