document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318052>Question 318052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for a normal population with a mean (mu) =70 and standard deviation = 12 what is the probability of obtaining a sample mean greater than 73 and less than 75 for a sample of n=36 scores </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227711 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=227711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a normal population with a mean (mu) =70 and standard deviation = 12 what is the probability of obtaining a sample mean greater than 73 and less than 75 for a sample of n=36 scores<BR>\n" );
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document.write( "mean of the sample means = 70<BR>\n" );
document.write( "std of the sample means = 12/sqrt(36) = 2<BR>\n" );
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document.write( "t(73) = (73-70)/2 = 1.5<BR>\n" );
document.write( "t(75) = (75-70)/2 = 2.5<BR>\n" );
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document.write( "P(73 < x-bar < 75) = P(1.5 < t < 2.5 with df = 35) = 0.0627<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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