document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860087>Question 860087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain how to do this question:<BR>\n" );
document.write( "What is the probability that the sample mean will be within 6 units of the mean? A random sample of size 43 is to be selected from a population that has a mean &#956; = 51 and a standard deviation &#963; of 8. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518255 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=518255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the probability that the sample mean will be within 6 units of the mean? A random sample of size 43 is to be selected from a population that has a mean &#956; = 51 and a standard deviation &#963; of 8.<BR>\n" );
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document.write( "\"Within 6 units means 45 < x-bar < 57<BR>\n" );
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document.write( "z(45) = -6/[8/sqrt(43)] = -4.9181<BR>\n" );
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document.write( "z(56) = +4.9181<BR>\n" );
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document.write( "P(45< x-bar < 57) = P(-4.91 < z < 4.9181) is approximately 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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