document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848981>Question 848981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches, and standard deviation of 1.7 inches.\r<BR>\n" );
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document.write( "Round your answer to four decimals.\r<BR>\n" );
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document.write( "If 24 items is chosen at random, what is the probability that their mean length is less than 6.2 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511335 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=511335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer knows that their items have a normally distributed length, with a mean of 7.1 inches, and standard deviation of 1.7 inches. <BR>\n" );
document.write( "Round your answer to four decimals. <BR>\n" );
document.write( "If 24 items is chosen at random, what is the probability that their mean length is less than 6.2 inches?<BR>\n" );
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document.write( "mean of the sample means:: 7.1 in<BR>\n" );
document.write( "std of the sample means::: 1.7/sqrt(24)<BR>\n" );
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document.write( "z(6.2) = (6.2-7.1)/[1.7/sqrt(24)] = -2.5936<BR>\n" );
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document.write( "P(x-bar < 6.2) = P(z < -2.5936) = normalcdf(-100,-2.5936) = 0.0047<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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