document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314788>Question 314788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the weight of apples eaten by individual Americans can be described by a normal probability distribution with mean &#956; = 15 pounds and standard deviation &#963; = 5 pounds per < year. \r<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the standard deviation of the sampling distribution of the sample mean &#772;x? \r<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the mean of the sampling distribution of the sample mean &#772;x? \r<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the z-score for a sample mean &#772;x = 10 pounds? \r<BR>\n" );
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document.write( "For a random sample of n = 9 people, what is the z-score for a sample mean &#772;x = 18 pounds?<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 #225124 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=225124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the weight of apples eaten by individual Americans can be described by a normal probability distribution with mean &#956; = 15 pounds and standard deviation &#963; = 5 pounds per < year.<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the standard deviation of the sampling distribution of the sample mean &#772;x?<BR>\n" );
document.write( "Ans: 5/Sqrt(16) = 5/4<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the mean of the sampling distribution of the sample mean &#772;x?<BR>\n" );
document.write( "Ans: x-bar = 15<BR>\n" );
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document.write( "For a random sample of n = 16 people, what is the z-score for a sample mean &#772;x = 10 pounds?<BR>\n" );
document.write( "z(10) = (10-15)/[5/sqrt(16)] = -5/(5/4) = -4<BR>\n" );
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document.write( "For a random sample of n = 9 people, what is the z-score for a sample mean &#772;x = 18 pounds?<BR>\n" );
document.write( "z(18) = (18-15)/[5/sqrt(3)] = 3/(5/sqrt(3)) = 3*sqrt(3)/5 = 1.0392<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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