document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=492456>Question 492456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am struggling with this problem...I am getting a headache because I have been working on it forever now...PLEASE HELP AND THANK YOU VERY MUCH\r<BR>\n" );
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document.write( "Consider a normal population with µ = 25 and &#963; = 8.0.SHOW ALL WORK<BR>\n" );
document.write( "(A)Calculate the standard score for a value x of 22.<BR>\n" );
document.write( "(B)Calculate the standard score for a randomly selected sample of 30 with  = 22.<BR>\n" );
document.write( "(C)Explain why the standard scores of 22 are different between A and B above.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335079 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=335079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider a normal population with µ = 25 and &#963; = 8.0.SHOW ALL WORK<BR>\n" );
document.write( "(A)Calculate the standard score for a value x of 22.<BR>\n" );
document.write( "z(22) = (22-25)/8 = -3/8<BR>\n" );
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document.write( "(B)Calculate the standard score for a randomly selected sample of 30 <BR>\n" );
document.write( "with xbar = 22<BR>\n" );
document.write( "t(22) = (22-25)/[8/sqrt(30)] = -3/1.4606 = -2.0540<BR>\n" );
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document.write( "(C)Explain why the standard scores of 22 are different between A and B above.<BR>\n" );
document.write( "A based on z-distribution ; B based on t-distribution<BR>\n" );
document.write( "A has std = 8 ; B has std = 8/sqrt(30)<BR>\n" );
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document.write( "Note: These differences relate to the Central Limit Theorem<BR>\n" );
document.write( "It's also possible that your text would call for the following<BR>\n" );
document.write( "for \"B\": z(22) = (22-25)/[8/sqrt(30)] = -2.0540<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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