document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167695>Question 1167695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 5.9-in and a standard deviation of 0.9-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 3.3% or largest 3.3%.\r<BR>\n" );
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document.write( "What is the minimum head diameter that will fit the clientele?<BR>\n" );
document.write( "min =\r<BR>\n" );
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document.write( "What is the maximum head diameter that will fit the clientele?<BR>\n" );
document.write( "max =\r<BR>\n" );
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document.write( "Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792338 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=792338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These sd s correspond to z's of -1.838 and +1.838 from the table. <BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "1.838=(x-5.9)/0.9<BR>\n" );
document.write( "1.654=x-5.9<BR>\n" );
document.write( "x=7.554 in for largest size<BR>\n" );
document.write( "x=4.246 in for smallest size<BR>\n" );
document.write( "answer to 1 decimal place is (4.2 in, 7.6 in)\r<BR>\n" );
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document.write( "This is 0.9339 of the area of the normal curve taken out of the middle. </SPAN>\n" );
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