document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151946>Question 1151946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Among Coffee drinkers, men drink a mean of 3.2 cups per day, with a standard deviation of 0.8 cups. Assume the number of coffee dinks per day follows a normal distribution. \r<BR>\n" );
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document.write( "a. What proportion dink 2 cups per day or more? <BR>\n" );
document.write( "B. What proportion drink no more than 4 cups per day? <BR>\n" );
document.write( "c. If the top 5% of coffee drinkers are considered heavy coffee drinkers, what is the minimum number of ups per day consumed by a heavy coffee drinker? Hint find the 95th percentile. <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 #773810 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 3.2 cups per day and standard deviation is 0.8 cups<BR>\n" );
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document.write( "a.  z-score(2) = (2 - 3.2)/0.8 = -1.5<BR>\n" );
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document.write( "probability(P) associated with a z-score of -1.5 is 0.0668<BR>\n" );
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document.write( "P (men who drink more than 2 cups per day) = 1 - 0.0668 = 0.9332 is approximately 0.93 <BR>\n" );
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document.write( "Proportion of men who drink more than 2 cups daily is 93/100<BR>\n" );
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document.write( "b.  z-score(4) = (4 - 3.2)/0.8 = 1.0<BR>\n" );
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document.write( "P associated with a z-score of 1.0 is 0.8413 is approximately 0.84<BR>\n" );
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document.write( "Proportion of men who drink less than 4 cups a day = 84/100 = 21/25<BR>\n" );
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document.write( "c.  In the table of z-values, a z-score associated with a P of 0.95 is 1.64<BR>\n" );
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document.write( "(X - 3.2)/0.8 = 1.64<BR>\n" );
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document.write( "X - 3.2 = 1.64 * 0.8 = 1.312<BR>\n" );
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document.write( "X = 4.512 is approximately 5<BR>\n" );
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document.write( "Minimum number of cups consumed by a heavy coffee drinker is 5 cups<BR>\n" );
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