document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602524>Question 602524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A schoolteacher is concerned that her students watch more TV than the average American child. She reads that according to the American Academy of Pediatrics (AAP), the average American child watches 4 hours of TV per day <BR>\n" );
document.write( "(&#956; = 4.0 hours).<BR>\n" );
document.write( " She records the number of hours of TV each of her six students watch per day. The times (in hours) are 5.5, 4.4, 2.8, 2.5, 4.0, and 4.8.<BR>\n" );
document.write( "(a) Test the hypothesis that her students watch more TV than the average American child using a 0.05 level of significance and a one-independent sample t-test. State the value of the test statistic. (Round your answer to three decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380316 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=380316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the average American child watches 4 hours of TV per day <BR>\n" );
document.write( "(&#956; = 4.0 hours).<BR>\n" );
document.write( "She records the number of hours of TV each of her six students watch per day. The times (in hours) are 5.5, 4.4, 2.8, 2.5, 4.0, and 4.8.<BR>\n" );
document.write( "sample mean = (sum of data)/6 = 4<BR>\n" );
document.write( "sample standard deviation: 1.16<BR>\n" );
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document.write( "(a) Test the hypothesis that her students watch more TV than the average American child using a 0.05 level of significance and a one-independent sample t-test. State the value of the test statistic. (Round your answer to three decimal places.)<BR>\n" );
document.write( "Ho: u = 4<BR>\n" );
document.write( "Ha: u > 4 (claim)<BR>\n" );
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document.write( "t(4) = (4-4)/(1.6/sqrt(6)) = 0<BR>\n" );
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document.write( "p-valu = P(t > 0 when df = 5) = 0.50<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Conclusion: The test results do not support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );