document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364527>Question 364527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. 	The amount of ice cream in a cone has a distribution with a mean of 3.2 ounces per cone and a standard deviation of 0.4 ounces.  If there are 50 children to be served ice cream at a birthday party, find the probability that more than 165 ounces of ice cream will be served. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259941 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you give the following<BR>\n" );
document.write( "a distribution with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=3.2 ALIGN=MIDDLE  ALT=\"mu=3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=0.4 ALIGN=MIDDLE  ALT=\"sigma=0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also you sample 50 children  n=50 then you asked<BR>\n" );
document.write( "find the probability that more than 165 ounces of ice cream will be served<BR>\n" );
document.write( "===<BR>\n" );
document.write( "We have no idea what kind of distribution these data come from.<BR>\n" );
document.write( "But saying P(total amount of ice cream>165)=P(Xbar>165/50)=P(xbar>3.3)<BR>\n" );
document.write( "==<BR>\n" );
document.write( "We dont know the distribution, but since the analysis is based on the distribution of \"averages\" and the sample size is large (ie >30) we can rely on the Central Limit theorem to enables us to use the Normal distribution.\r<BR>\n" );
document.write( "\n" );
document.write( "P(Xbar>3.3)=P(Z>1.77)=0.038  where Z=(Xbar-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" >)/(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma ALIGN=MIDDLE  ALT=\"sigma\"   DISABLED_style= \"max-width:90%; height:auto;\" >/sqrt(n))<BR>\n" );
document.write( " </SPAN>\n" );
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