document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496644>Question 496644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and      is used to estimate &#956;  .\r<BR>\n" );
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document.write( "   1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?\r<BR>\n" );
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document.write( "   2. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336613 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=336613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A population has a mean of 200 and a standard deviation of 50. <BR>\n" );
document.write( "Suppose a simple random sample of size 100 is selected and is <BR>\n" );
document.write( "used to estimate &#956; .<BR>\n" );
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document.write( "1. What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?<BR>\n" );
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document.write( "z(195) = (195-200)/50 = -0.1<BR>\n" );
document.write( "z(205) = (205-200)/50 = +0.1<BR>\n" );
document.write( "P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797<BR>\n" );
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document.write( "2. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?<BR>\n" );
document.write( "Do the same using 190 and 210<BR>\n" );
document.write( "Ans: 0.1585<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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