document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328041>Question 328041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a simple random sample of size n = 34 is obtained from a population with &#956; = 30 and &#963; = 4.\r<BR>\n" );
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document.write( "a)	Is the sampling distribution of x approximately normal.\r<BR>\n" );
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document.write( "b)	What is P(x > 30.2)?<BR>\n" );
document.write( "c)	What is P(x &#8804; 30.6)?<BR>\n" );
document.write( "d)	What is P(28.7 &#8804; x &#8804; 31.1)<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 #234971 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=234971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose a simple random sample of size n = 34 is obtained from a population with &#956; = 30 and &#963; = 4. <BR>\n" );
document.write( "a) Is the sampling distribution of x approximately normal. Yes<BR>\n" );
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document.write( "b) What is P(x > 30.2)?<BR>\n" );
document.write( "z(30.2) = (30.2-34)/4 = -3.8<BR>\n" );
document.write( "P(x > 30.2) = P(z > -2.8) = 0.9974<BR>\n" );
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document.write( "c) What is P(x &#8804; 30.6)?<BR>\n" );
document.write( "z(30.6) = (30.6-34)/4 = -3.4<BR>\n" );
document.write( "P(x <= 30.6) = P(z <= -3.4) = 0.000337<BR>\n" );
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document.write( "d) What is P(28.7 &#8804; x &#8804; 31.1)<BR>\n" );
document.write( "z(31.1) = (31.1-34)/4 = -2.9<BR>\n" );
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document.write( "z(28.7) = (28.7-34)/4 =-5.3<BR>\n" );
document.write( "P( 28.7 <= x <= 31.1) = P(-5.3 <= z <= -2.9)= 0.0019<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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