document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980292>Question 980292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	Historical production data indicate that the diameter of a ball bearing is normally distributed with a mean of 0.525 cm and a standard deviation of 0.008 cm. Suppose that a sample of 16 ball bearings are randomly selected from a very large lot. Determine the probability that the average diameter of a sampled ball bearing is greater than 0.530 cm.<BR>\n" );
document.write( "a.	0.2324<BR>\n" );
document.write( "b.	0.4938<BR>\n" );
document.write( "c.	0.5062<BR>\n" );
document.write( "d.	0.0062<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 #601463 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=601463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z = (xbar - mu)/(sigma/sqrt(n))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z = (0.530 - 0.525)/(0.008/sqrt(16))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z = 2.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(xbar > 0.530) = P(z > 2.5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(xbar > 0.530) = 1 - P(z < 2.5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(xbar > 0.530) = 1 - 0.99379 ... use a <a  rel=nofollow HREF=\"https://www.stat.tamu.edu/~lzhou/stat302/standardnormaltable.pdf\">table</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(xbar > 0.530) = 0.00621\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(xbar > 0.530) = 0.0062\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability is <font color=\"red\">0.0062</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );