document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182722>Question 1182722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes. A random sample of 16 cars is selected. What is the probability that the sample mean will be between 39 and 48 minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812806 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=812806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sd of the sampling distribution of size 16 has mean 45 and sd 10/sqrt(16), or sd=2.5<BR>\n" );
document.write( "z is between (39-45)/2.5=-2.4 and (48-45)/2.5=1.2<BR>\n" );
document.write( "this has probability of 0.8767<BR>\n" );
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