document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012090>Question 1012090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me out with this problem?\r<BR>\n" );
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document.write( "Heights of men on a baseball team have a&#8203; bell-shaped distribution with a mean of 173 cm and a standard deviation of 6 cm. Using the empirical&#8203; rule, what is the approximate percentage of the men between the following&#8203; values?\r<BR>\n" );
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document.write( "a. 155 cm and 191 cm<BR>\n" );
document.write( "b. 167 cm and 179 cm\r<BR>\n" );
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document.write( "a. <BR>\n" );
document.write( "___&#8203;% of the men are between 155 cm and 191 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.)<BR>\n" );
document.write( "b. <BR>\n" );
document.write( "___% of the men are between 167 cm and 179 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627945 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=627945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Heights of men on a baseball team have a&#8203; bell-shaped distribution with a mean of 173 cm and a standard deviation of 6 cm. Using the empirical&#8203; rule, what is the approximate percentage of the men between the following&#8203; values?\r<BR>\n" );
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document.write( "a. 155 cm and 191 cm<BR>\n" );
document.write( "b. 167 cm and 179 cm\r<BR>\n" );
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document.write( "a.<BR>\n" );
document.write( "___&#8203;% of the men are between 155 cm and 191 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.)<BR>\n" );
document.write( "b.<BR>\n" );
document.write( "___% of the men are between 167 cm and 179 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.) \r<BR>\n" );
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document.write( "z-score = (raw-score minus mean) / standard deviation.\r<BR>\n" );
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document.write( "mean is 173 and standard deviation is 6.\r<BR>\n" );
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document.write( "z1a = (155 - 173)/6<BR>\n" );
document.write( "z1b = (191 - 173)/6\r<BR>\n" );
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document.write( "z2a = (167 - 173)/6<BR>\n" );
document.write( "z2b = (179 - 173)/6\r<BR>\n" );
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document.write( "solve for z in each of these equations to get:\r<BR>\n" );
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document.write( "z1a = -3<BR>\n" );
document.write( "z1b = 3\r<BR>\n" );
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document.write( "z2a = -1<BR>\n" );
document.write( "z2b = 1\r<BR>\n" );
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document.write( "the empirical rule says:\r<BR>\n" );
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document.write( "68% will fall within the first standard deviation, 95% within the first two standard deviations, and 99.7% will fall within the first three standard deviations of the mean. \r<BR>\n" );
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document.write( "It is also referred to as the Three Sigma Rule, or the 68-95-99.7 Rule.\r<BR>\n" );
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document.write( "your solutions are:\r<BR>\n" );
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document.write( "a.<BR>\n" );
document.write( "<u>99.7&#8203;%</u> of the men are between 155 cm and 191 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.)\r<BR>\n" );
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document.write( "b.<BR>\n" );
document.write( "<u>68%</u> of the men are between 167 cm and 179 cm.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.) <BR>\n" );
document.write( " </SPAN>\n" );
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