document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201808>Question 1201808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following table gives the sample data from a survey on income of managing directors of the sampled companies both in Kenya and Tanzania.<BR>\n" );
document.write( "Country	Income (in Euros)<BR>\n" );
document.write( "Kenya	5000	4680	4500	3200	6845	6500	6065	5147	4365	3933<BR>\n" );
document.write( "Tanzania	3540	6500	2700	3200	2760	6245	5544	5498	4367	\r<BR>\n" );
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document.write( "(a)	Test whether the mean income for each country is above 4000 Euros at 5% level of significance. <BR>\n" );
document.write( "(10 mks)<BR>\n" );
document.write( "(b)	Construct the 95% confidence interval for the true mean income of Kenya.    		 (5 mks)<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 #836421 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> kenya had a mean of 5023.5 and a standard devition of 1092.6 with a sample size of 10.<BR>\n" );
document.write( "tanzania had a mean of 4483.8 and a standard deviation of 1415.2 with a sample size of 9.\r<BR>\n" );
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document.write( "t-test for kenys indicated that the results were significant with the conclusion that the mean is above 4000.<BR>\n" );
document.write( "the test t-value was 2.96228371332815.<BR>\n" );
document.write( "the critical t-value at 95% one tailed condidence interval on the high end was 1.83.<BR>\n" );
document.write( "the test t-value was greater than that, so the results were considered significant, indicating that the kenya mean was greater than 4000.\r<BR>\n" );
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document.write( "t-test for tanzania indicaed that there wasn't sufficient information to conslude that the mean is above 4000.<BR>\n" );
document.write( "the test t-value was 1.0255794234030529.<BR>\n" );
document.write( "the critical t-value at 95% one tailed confidence interval on the high end wass 1.83.<BR>\n" );
document.write( "the test t-value was not greater than that, so the results were not considered significant, indicating that the tanzania mean was not greater than 4000.\r<BR>\n" );
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document.write( "95% confidence iterval for the true mean of kenya is from 441.9 to 5805.1.\r<BR>\n" );
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document.write( "here are the links to the results from the calculators that i used.\r<BR>\n" );
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document.write( "kenya statistics:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/Question 1201808 kenya statistics.jpg\">\r<BR>\n" );
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document.write( "tanzania statistics:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/Question 1201808 tanzania statistics.jpg\">\r<BR>\n" );
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document.write( "kenya t-test:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/Question 1201808 kenya t-test.jpg\">\r<BR>\n" );
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document.write( "tanzania t-test:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/Question 1201808 tanzania t-test.jpg\">\r<BR>\n" );
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document.write( "95% two tailed confidence interval for kenya:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/Question 1201808 confidence interval.jpg\"><BR>\n" );
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