document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109995>Question 1109995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is normally distributed with mean &#956; = 856 grams and standard deviation of &#963; = 11 grams.<BR>\n" );
document.write( "(a) Describe the distribution of x, the amount of fill per jar.<BR>\n" );
document.write( "skewed right<BR>\n" );
document.write( "normal    <BR>\n" );
document.write( "skewed left<BR>\n" );
document.write( "chi-square<BR>\n" );
document.write( "Correct: Your answer is correct.\r<BR>\n" );
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document.write( "(b) Find the probability that one jar selected at random contains between 840 and 856 grams. (Give your answer correct to four decimal places.) <BR>\n" );
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document.write( "0.4265<BR>\n" );
document.write( " <BR>\n" );
document.write( "Correct: Your answer is correct.<BR>\n" );
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document.write( "(c) Describe the distribution of x, the mean weight for a sample of 30 such jars of sauce.<BR>\n" );
document.write( "skewed right<BR>\n" );
document.write( "normal    <BR>\n" );
document.write( "skewed left<BR>\n" );
document.write( "chi-square<BR>\n" );
document.write( "Correct: Your answer is correct.\r<BR>\n" );
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document.write( "(d) Find the mean of the x distribution. (Give your answer correct to the nearest whole number.) <BR>\n" );
document.write( " <BR>\n" );
document.write( "856<BR>\n" );
document.write( " <BR>\n" );
document.write( "Correct: Your answer is correct.<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "(ii) Find the standard error of the x distribution. (Give your answer correct to two decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( "2.01<BR>\n" );
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document.write( "Correct: Your answer is correct.<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "(e) Find the probability that a random sample of 30 jars has a mean weight between 840 and 856 grams. (Give your answer correct to four decimal places.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724977 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=724977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the last one, z(840)=-16/11/sqrt(30)=-7.97<BR>\n" );
document.write( "want probability of z between -7.97 and 0.  That is 0.5000.  The se is only 2, and the distance from the mean is 16.   </SPAN>\n" );
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