document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170316>Question 1170316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The concentration of the active ingredient in capsules of a prescription painkiller varies according to<BR>\n" );
document.write( "a normal distribution with μ = 10% and σ = 0.2%.<BR>\n" );
document.write( "a. What is the median concentration? Explain your answer.<BR>\n" );
document.write( "b. What interval of concentrations covers the middle 95 percent of all the capsules?<BR>\n" );
document.write( "c. What interval covers the middle half of all capsules? <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 #795193 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=795193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The median is the same as the mean in a normal distribution, so Md=10%<BR>\n" );
document.write( "95% is +/-1.96 sd from the mean included<BR>\n" );
document.write( "that is +/-0.392 or 0.4 (9.6%, 10.4%) rounding<BR>\n" );
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document.write( "Middle half is +/- 0.2500 probability from the mean.<BR>\n" );
document.write( "This is z=+/-0.675 or 0.135%<BR>\n" );
document.write( "the interval is (9.865%, 10.135%) </SPAN>\n" );
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