document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161686>Question 1161686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed.\r<BR>\n" );
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document.write( "a. If a single dinner is selected, find the probability that 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 670 mg. <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 #785429 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=785429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "for a single dinner, z would be (670-660)/35 or 0.29 with probability 0.3875 (using 2/7 for z)\r<BR>\n" );
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document.write( "for 10 dinners z=(x bar-mean)/sigma/sqrt(10)<BR>\n" );
document.write( "this is z>(2/7)*sqrt(10)=0.9035. That probability is 0.1831 </SPAN>\n" );
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