document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281358>Question 281358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A.The diameters of bolts produced by a certain machine are normally distributed with a mean of U=0.30 inches and a standard deviation, r=0.042, inches. What percentage of bolts will have a diameter greater than 0.320 inches?<BR>\n" );
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document.write( "B.If 11 bolts are selected, what percentage of bolts will have a mean diameter greater than 0.32 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204382 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=204382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.The diameters of bolts produced by a certain machine are normally distributed with a mean of U=0.30 inches and a standard deviation, r=0.042, inches. What percentage of bolts will have a diameter greater than 0.320 inches?<BR>\n" );
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document.write( "z(0.320) = (0.320-0.300)/0.42 = 0.0476<BR>\n" );
document.write( "P(x > 0.32) = P(z > 0.0476) = 0.4812 = 42.12%<BR>\n" );
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document.write( "B.If 11 bolts are selected, what percentage of bolts will have a mean diameter greater than 0.32 inches?<BR>\n" );
document.write( "z(0.32) = (-.320-0.300)/[0.42/sqrt(11)] = 0.1579<BR>\n" );
document.write( "P(xbar > 0.32) = P(z > 0.1579) = 0.4373 = 43.73%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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