document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161606>Question 1161606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average number of<BR>\n" );
document.write( "milligrams (mg) of sodium in a certain brand of low-salt<BR>\n" );
document.write( "microwave frozen dinners is 660 mg, and the standard<BR>\n" );
document.write( "deviation is 35 mg. Assume the variable is normally<BR>\n" );
document.write( "distributed.\r<BR>\n" );
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document.write( "a. If a single dinner is selected, find the probability that<BR>\n" );
document.write( "the sodium content will be more than 670 mg.\r<BR>\n" );
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document.write( "b. If a sample of 10 dinners is selected, find the probability that the mean of the sample will be larger than<BR>\n" );
document.write( "670 mg.\r<BR>\n" );
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document.write( "c. Why is the probability for part a greater than that for<BR>\n" );
document.write( "part b?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785197 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z>(x-mean)/sd<BR>\n" );
document.write( "=(670-660)/35<BR>\n" );
document.write( "=10/35 or 0.286<BR>\n" );
document.write( "this probability is 0.3875\r<BR>\n" );
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document.write( "for 10 dinners, the formula becomes z=(x bar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "and z> 10*sqrt(10)/35=0.90<BR>\n" );
document.write( "that probability is 0.1840\r<BR>\n" );
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document.write( " It is much more difficult for the average of 10 things to all be in the same direction compared to a single one.If there is one extreme value, the next probably will be less extreme or even in the other direction. </SPAN>\n" );
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