document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886214>Question 886214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to R.L. Polk & Co., the average age of cars and light trucks in the U.S. in 2011 was 10.8 years. Assume the standard deviation for this population is 3.7 years. A sample of 35 randomly selected vehicles was selected. What is the probability that the sample mean will be greater than 10 years?<BR>\n" );
document.write( "A. 0.5469<BR>\n" );
document.write( "B. 0.7812<BR>\n" );
document.write( "C. 0.8997<BR>\n" );
document.write( "D. 0.9846<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535760 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=535760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> According to R.L. Polk & Co., the average age of cars and light trucks in the U.S. in 2011 was 10.8 years. Assume the standard deviation for this population is 3.7 years. A sample of 35 randomly selected vehicles was selected. What is the probability that the sample mean will be greater than 10 years?<BR>\n" );
document.write( "z(10) = (10-10.8)/(3.7/sqrt(35)) = -0.0365<BR>\n" );
document.write( "P(x-bar > 10) = P(z > -0.0365) = normalcdf(-0.0365,100) = 0.5146<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " A. 0.5469<BR>\n" );
document.write( " B. 0.7812<BR>\n" );
document.write( " C. 0.8997<BR>\n" );
document.write( " D. 0.9846<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );