document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194606>Question 1194606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States has a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. At 𝛼=0.08, can you reject the claim </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826972 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: mean = 28.5<BR>\n" );
document.write( "Ha: mean NE 28.5<BR>\n" );
document.write( "alpha=0.08 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t(0.92, df=99)<BR>\n" );
document.write( "reject for |t|>1.769<BR>\n" );
document.write( "calculate t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=(0.7)/(4.1/10)<BR>\n" );
document.write( "=7/4.1<BR>\n" );
document.write( "=1.707<BR>\n" );
document.write( "fail to reject Ho at the 8% level; insufficient evidence to reject the claim.<BR>\n" );
document.write( "p-value is 0.091 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );