document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311028>Question 311028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the average number of years to graduate at a university is 4 years, with a standard deviation of 0.5 years. Assume a bell-shaped distribution for years to graduate. \r<BR>\n" );
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document.write( "From the Empirical Rule, what is a range of values that 95% of the students should graduate between?<BR>\n" );
document.write( "From the Empirical Rule, what is a range of values that 68% of the students should graduate between?<BR>\n" );
document.write( "From the Empirical Rule, what is a range of values that 99.7% of the students should graduate between?<BR>\n" );
document.write( "Suppose that the average height for college men is 66 inches. If the height distribution is bell-shaped, and 95% of the men have heights between 60 inches and 72 inches, what is the standard deviation of heights for this population?\r<BR>\n" );
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document.write( "I know I am repeating but I am so confused! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222482 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the average number of years to graduate at a university is 4 years, with a standard deviation of 0.5 years. Assume a bell-shaped distribution for years to graduate. <BR>\n" );
document.write( "From the Empirical Rule, what is a range of values that 95% of the students should graduate between?<BR>\n" );
document.write( "Draw the picture.<BR>\n" );
document.write( "4 yrs is in the middle<BR>\n" );
document.write( "std = 1/2 yr<BR>\n" );
document.write( "Empirical Rule says 95% of the population is within 2 std of the mean<BR>\n" );
document.write( "2 std = 2(1/2) = 1<BR>\n" );
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document.write( "So 95% of the population graduate between 3 and 5 yrs.<BR>\n" );
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document.write( "From the Empirical Rule, what is a range of values that 68% of the students should graduate between?<BR>\n" );
document.write( "Same as above but population within 1 std.<BR>\n" );
document.write( "68% between 3.5 and 4.5<BR>\n" );
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document.write( "From the Empirical Rule, what is a range of values that 99.7% of the students should graduate between?<BR>\n" );
document.write( "Same as above but population within 3 std.<BR>\n" );
document.write( "99.7% between 2.5 and 5.5 yrs.<BR>\n" );
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document.write( "Suppose that the average height for college men is 66 inches. If the height distribution is bell-shaped, and 95% of the men have heights between 60 inches and 72 inches, what is the standard deviation of heights for this population?<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "Normal curve; 4 in the middle; 95% centered on the mean.<BR>\n" );
document.write( "Right end is 2 std above the mean.<BR>\n" );
document.write( "Left end is 2 std below the mean.<BR>\n" );
document.write( "Distance from mean to left end = 66-60 = 3<BR>\n" );
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document.write( "2std = (66-60)<BR>\n" );
document.write( "2std = 6<BR>\n" );
document.write( "std = 3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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