document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219059>Question 219059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean amount of life insurance per household is 110,000 normal distribution a) with a standarf deviation of $40,000 what is the likelihood of selecting a sample with a mean of at least $112,000?<BR>\n" );
document.write( "b) What is the expected shape of the distribution of the sample mean? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164811 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=164811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean amount of life insurance per household is 110,000 normal distribution a) with a standard deviation of $40,000 what is the likelihood of selecting a sample with a mean of at least $112,000?<BR>\n" );
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document.write( "z(112,000) = (112,000-110,000)/[40,000] = 2/40 <BR>\n" );
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document.write( "P(z>(2/40) = normalcdf((2/40),10) = 0.48<BR>\n" );
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document.write( "b) What is the expected shape of the distribution of the sample mean?<BR>\n" );
document.write( "The sample means will have a normal distribution<BR>\n" );
document.write( "as guaranteed by the Central Limit Theorem.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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