document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087372>Question 1087372</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A set of data is normally distributed with a mean of 44 and a standard deviation of 3.2. Which of the following statements are not true?\r<BR>\n" );
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document.write( "I. 68% of the values are between 37.6 and 50.4.<BR>\n" );
document.write( "II. 13.5% is between 37.6 and 40.8.<BR>\n" );
document.write( "III. 5% of the values are lower than 37.6 or higher than 50.4.\r<BR>\n" );
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document.write( "a. I<BR>\n" );
document.write( "b. II<BR>\n" );
document.write( "c. III<BR>\n" );
document.write( "d. I and II </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701647 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the normal distribution 68-95-99.7 rule<BR>\n" );
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document.write( "68% of the values are 1 standard deviation around the mean (44-3.2, 44+3.2) = (40.8, 47.2) so I is false<BR>\n" );
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document.write( "95% of the values are within 2 standard deviations around the mean (44-6.4, 44+6.4) = (37.6, 50.4), 95 - 68 = 27, 27/2 = 13.5, so II is true<BR>\n" );
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document.write( "2.5% greater than 50.4 and 2.5% less than 37.6 = 5%, so III is true<BR>\n" );
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document.write( "I. is the correct answer<BR>\n" );
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