document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244552>Question 244552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume we draw a simple random sample from a population having a mean of 100 and a standard deviation of 16. What is the probability that a sample mean will be within plus-or-minus two of the population mean for each of the following sample sizes?<BR>\n" );
document.write( "	(a.)	n = 50   ____________  (3 points)<BR>\n" );
document.write( "	(b.)	n = 100 96.8 to 103.2 (3 points)<BR>\n" );
document.write( "	(c.)	n = 200 ____________  (3 points)<BR>\n" );
document.write( "	(d.)	n = 400 ____________  (3 points)<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 #178945 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=178945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume we draw a simple random sample from a population having a mean of 100 and a standard deviation of 16. What is the probability that a sample mean will be within plus-or-minus two of the population mean for each of the following sample sizes?<BR>\n" );
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document.write( "p(98 < x-bar < 102)= ?<BR>\n" );
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document.write( "(a.) n = 50 ____________ (3 points)<BR>\n" );
document.write( "t(98) = (98-100)/[16/sqrt(50)] = -0.884<BR>\n" );
document.write( "t(102) = (102-100)/[16/sqrt(50)] = +0.884<BR>\n" );
document.write( "P(98 < x-bar < 102) = P(-0.884 < t < 0.884 when df = 49) = 0.619<BR>\n" );
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document.write( "(b.) n = 100 ------------ (3 points)<BR>\n" );
document.write( "Same procedure as \"a\" but let n = 100<BR>\n" );
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document.write( "(c.) n = 200 ____________ (3 points)<BR>\n" );
document.write( "same but n = 200<BR>\n" );
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document.write( "(d.) n = 400 ____________ (3 points)<BR>\n" );
document.write( "same but n = 400<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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