document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197852>Question 1197852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 16 obituaries from newspapers from rural towns in Idaho give 𝑥¯=80.38 and 𝑠=1.16 s=1.16. Does this sample provide evidence that people living in rural \r<BR>\n" );
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document.write( "Idaho communities live longer than 77 years?<BR>\n" );
document.write( "State the null and alternative hypotheses:(Type \"mu\" for the symbol μ, e.g. mu >1 for the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) \r<BR>\n" );
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document.write( "H0:  <BR>\n" );
document.write( "Ha : \r<BR>\n" );
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document.write( "(b) Find the test statistic, t =\r<BR>\n" );
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document.write( "(c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance) <BR>\n" );
document.write( "(Type: Yes or No)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831311 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = 16, x̄ = 80.38, s = 1.16\r<BR>\n" );
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document.write( "Ho:  µ = 77 claim<BR>\n" );
document.write( "Ha:  µ > 77<BR>\n" );
document.write( "10% level of significance, one-sided:   critical value  = 1.341<BR>\n" );
document.write( "t = (80.38 - 77)/ (1.16/4) = 11.655<BR>\n" );
document.write( " 11.655 > 1.341, Reject Ho.<BR>\n" );
document.write( "Sample provides evidence that people living in rural Idaho communities<BR>\n" );
document.write( " live longer than 77 years  </SPAN>\n" );
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