document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073494>Question 1073494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to find the answer for this:\r<BR>\n" );
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document.write( "A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regu- lar coffee is 1.20 cups per day and for those drinking decaffeinated coffee is 1.36 cups per day. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Use the 0.01 significance level. Compute and interpret the p-value.\r<BR>\n" );
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document.write( "Only if you can, some detail in the answer please so I can understand how to do it :)\r<BR>\n" );
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document.write( "Thank You!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688370 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=688370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a two independent sample test(regular-coffee drinkers vs decaffeinated-coffee drinkers), each sample size is > or = 40, so we can assume a normal distribution<BR>\n" );
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document.write( "We are to test if the mean daily consumption of regular-coffee drinkers(u(1)) is less than that of decaffeinated-coffee drinkers(u(2))<BR>\n" );
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document.write( "This is a one-tailed test, our null and alternate hypothesis tests are<BR>\n" );
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document.write( "Ho: u(2) < or = u(1)<BR>\n" );
document.write( "H1: u(2) > u(1)<BR>\n" );
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document.write( "Since we know the standard deviation/s of the population, we can use a z-statistic<BR>\n" );
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document.write( "u(1) of the sample is 4.35 and u(2) of the sample is 5.84<BR>\n" );
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document.write( "n(1), this sample size is 50 and n(2), this sample size is 40<BR>\n" );
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document.write( "s(1) standard deviation of population is 1.20 and s(2) standard deviation of the population is 1.36<BR>\n" );
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document.write( "z = (5.84 - 4.35) / square root((1.36^2 / 40) + (1.20^2 / 50)) = 5.4393<BR>\n" );
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document.write( "the significance level, alpha, is 0.01<BR>\n" );
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document.write( "z results in a p-value of 0.00001 which is < 0.01, so we reject the null hypothesis(Ho), therefore<BR>\n" );
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document.write( "the mean daily consumption of regular-coffee drinkers is greater than that of decaffeinated-coffee drinkers<BR>\n" );
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