document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200387>Question 1200387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A normal distribution has 𝜇 = 26 and 𝜎 = 5.<BR>\n" );
document.write( "(a) Find the z score corresponding to <BR>\n" );
document.write( "x = 21.<BR>\n" );
document.write( " <BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find the z score corresponding to <BR>\n" );
document.write( "x = 40.<BR>\n" );
document.write( " <BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "(c) Find the raw score corresponding to <BR>\n" );
document.write( "z = −2.<BR>\n" );
document.write( " <BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "(d) Find the raw score corresponding to <BR>\n" );
document.write( "z = 1.9.<BR>\n" );
document.write( " <BR>\n" );
document.write( " <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 #834510 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=834510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answers:<BR>\n" );
document.write( "<ol type=\"a\"><li><font color=red>z = -1</font></li><li><font color=red>z = 2.8</font></li><li><font color=red>x = 16</font></li><li><font color=red>x = 35.5</font></li></ol><BR>\n" );
document.write( "Work Shown:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "mu = 𝜇 = 26 = mean<BR>\n" );
document.write( "sigma = 𝜎 = 5 = standard deviation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (a)<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (x-26)/5<BR>\n" );
document.write( "z = (21-26)/5<BR>\n" );
document.write( "z = -5/5<BR>\n" );
document.write( "<font color=red>z = -1</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (b)<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (x-26)/5<BR>\n" );
document.write( "z = (40-26)/5<BR>\n" );
document.write( "z = 14/5<BR>\n" );
document.write( "<font color=red>z = 2.8</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (c)<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (x-26)/5<BR>\n" );
document.write( "-2 = (x-26)/5<BR>\n" );
document.write( "-2*5 = x-26<BR>\n" );
document.write( "-10 = x-26<BR>\n" );
document.write( "x = -10+26<BR>\n" );
document.write( "<font color=red>x = 16</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (d)<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (x-26)/5<BR>\n" );
document.write( "1.9 = (x-26)/5<BR>\n" );
document.write( "1.9*5 = x-26<BR>\n" );
document.write( "9.5 = x-26<BR>\n" );
document.write( "9.5+26 = x<BR>\n" );
document.write( "35.5 = x<BR>\n" );
document.write( "<font color=red>x = 35.5</font>\r<BR>\n" );
document.write( "\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );