document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=554128>Question 554128</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Given a normal distribution &#956; = 100 with and &#963;=10, if you select a sample of n=25 what is the probability that X is <BR>\n" );
document.write( "a. less than 95<BR>\n" );
document.write( "c. above 102.2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361231 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=361231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a normal distribution &#956; = 100 with and &#963;=10, if you select a sample of n=25 what is the probability that X is <BR>\n" );
document.write( "a. less than 95<BR>\n" );
document.write( "t(95) = (95-100)/[10/sqrt(25)] = -5/2 = -2.5<BR>\n" );
document.write( "P(x < 95) = P(t < -2.5 when df = 24) = 0.0098<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "c. above 102.2?<BR>\n" );
document.write( "t(102.2) = (102.2-100)/[10/sqrt(25)] = 2.2/2 = 1.1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x > 102.2) = P(t > 1.1 when df = 24) = 0.1411<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );