document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182641>Question 1182641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CNNBC recently reported that the mean annual cost of auto insurance is 1046.<BR>\n" );
document.write( "Assume the standard deviation is 221 dollars, and the cost is normally distributed.<BR>\n" );
document.write( "Take a simple random sample of 37 auto insurance policies.<BR>\n" );
document.write( "Round answers to 4 decimals places.\r<BR>\n" );
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document.write( "What is the probability that one randomly selected auto insurance is less than $1050?\r<BR>\n" );
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document.write( "A simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $1050.\r<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 #813886 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 1, the z < (1050-1046)/221<BR>\n" );
document.write( "< 0.018<BR>\n" );
document.write( "probability  is 0.5072<BR>\n" );
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document.write( "for 37 it is 4/(221/sqrt(37))=0.1101<BR>\n" );
document.write( "probability z < 0.1101 is 0.5438 </SPAN>\n" );
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