document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153427>Question 153427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can somone please tell me how to do this i am so confused.\r<BR>\n" );
document.write( "\n" );
document.write( "Let X be a random variable that represents the length of time it takes a student to write a term paper for Dr. Adam's Sociology class.  After interviewing many students, it was found that X has an approximately normal distribution with mean U = 6.8 hours and standard deviation O=2.1 hours.\r<BR>\n" );
document.write( "\n" );
document.write( "Convert each of the following X intervals to standardized Z intervals:\r<BR>\n" );
document.write( "\n" );
document.write( "a) x is less than or equal to 7.5\r<BR>\n" );
document.write( "\n" );
document.write( "b) 5 is less than or equal to X is less than or equa to 8\r<BR>\n" );
document.write( "\n" );
document.write( "c)  x is greater than or equal to 4\r<BR>\n" );
document.write( "\n" );
document.write( "Convert each of the following z intervals to raw score X intervals\r<BR>\n" );
document.write( "\n" );
document.write( "d) z is greater than or equal to -2\r<BR>\n" );
document.write( "\n" );
document.write( "e) 0 is less than or equal to Z is less than or equal to 2\r<BR>\n" );
document.write( "\n" );
document.write( "f) Z is less than or equal to 3\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for your help in advance\r<BR>\n" );
document.write( "\n" );
document.write( "jill </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112928 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=112928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After interviewing many students, it was found that X has an approximately normal distribution with mean U = 6.8 hours and standard deviation O=2.1 hours. <BR>\n" );
document.write( "Convert each of the following X intervals to standardized Z intervals: <BR>\n" );
document.write( "a) x is less than or equal to 7.5 <BR>\n" );
document.write( "Find the z score of 7.5<BR>\n" );
document.write( "z(7.5) = (7.5-6.8)/2.1 = 0.333333...<BR>\n" );
document.write( "z-interval: z <= 0.33333....<BR>\n" );
document.write( "------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "b) 5 is less than or equal to X is less than or equal to 8 <BR>\n" );
document.write( "z(5) = (5-6.8)/2.1 = -0.8571...<BR>\n" );
document.write( "z(8) = (8-6.8)/2.1 = 0.5714...<BR>\n" );
document.write( "z-interval: (-0.8571 < z < 0.5714)<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "c) x is greater than or equal to 4 <BR>\n" );
document.write( "Find z(4) then write the z-interval.<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Convert each of the following z intervals to raw score X intervals <BR>\n" );
document.write( "d) z is greater than or equal to -2 <BR>\n" );
document.write( "x(z) = sigma*z + u<BR>\n" );
document.write( "x(-2) = 2.1*-2 + 6.8 = 2.6<BR>\n" );
document.write( "x-interval: x >= 2.6<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "e) 0 is less than or equal to Z is less than or equal to 2<BR>\n" );
document.write( "x(0) = 2.1*0 + 6.8 = 6.8<BR>\n" );
document.write( "x(2) = 2.1*2 + 6.8 = 11<BR>\n" );
document.write( "x-interval : 6.8 <= x <= 11<BR>\n" );
document.write( "-------------------------------- <BR>\n" );
document.write( "f) Z is less than or equal to 3 <BR>\n" );
document.write( "Use the same process on this problem.<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );