document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072194>Question 1072194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The annual per capita consumption of ice cream&#8203; (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation of 2.1 lbs.<BR>\n" );
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document.write( "a. What percent of the population consumes at most 10 lbs&#8203; yearly?<BR>\n" );
document.write( "b. Jack estimates that&#8203; 24% of the population eats more ice cream than he does.  Find how much ice cream he eats per year.<BR>\n" );
document.write( "c. Between what two values does the middle&#8203; 80% of the consumption&#8203; lie? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687103 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=687103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The annual per capita consumption of ice cream&#8203; (in pounds) in the United States can be approximated by a normal distribution with mean of 14 lbs and a standard deviation of 2.1 lbs.\r<BR>\n" );
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document.write( "a. What percent of the population consumes at most 10 lbs&#8203; yearly?<BR>\n" );
document.write( "z(10) = (10-14)/2.1 = -1.9047<BR>\n" );
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document.write( "Find the percentage below that z-value<BR>\n" );
document.write( "P(x <= 10) = P(z <= -1.9047) = normalcdf(-100,-1.9047) = 0.0284<BR>\n" );
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document.write( "b. Jack estimates that&#8203; 24% of the population eats -more ice cream than he does. Find how much ice cream he eats per year.<BR>\n" );
document.write( "Find the z-value with a right tail of 0.24<BR>\n" );
document.write( "invNorm(0.76) = 0.7063<BR>\n" );
document.write( "Find the corresponding raw score value::<BR>\n" );
document.write( "x = 0.7063*2.1 + 14<BR>\n" );
document.write( "x = 15.48 lbs (Amt. he consumes yearly)<BR>\n" );
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document.write( "c. Between what two values does the middle&#8203; 80% of the consumption&#8203; lie?<BR>\n" );
document.write( "Find the z-value with a left tail of 10%<BR>\n" );
document.write( "invNorm(0.1) = -1.2816<BR>\n" );
document.write( "Find the correspond lbs at +1.2816 and -1.2816<BR>\n" );
document.write( "x = 1.2816*2.1+14 and x = -1.2816*2.1+14<BR>\n" );
document.write( "Those are the upper and lower limits of the interval.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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