document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959200>Question 959200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Highway Safety Institute conducted test crashes at 6 mph, calculating the costs for the damage caused. The costs for the five test crashes were $7480, $4910, $9050, $6375, and $4275.  Use these data to test the claim that the mean cost of a 6mph crash is different from $5000.  Use a 5% level of significance.<BR>\n" );
document.write( "A)	state the null and alternative hypothesis  B) identify the critical value(s),  C) calculate the test statistic,  D) make a decision to reject the null hypothesis or not, and E) state a full conclusion in the context of the problem.<BR>\n" );
document.write( "Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586291 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=586291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Highway Safety Institute conducted test crashes at 6 mph, calculating the costs for the damage caused. The costs for the five test crashes were $7480, $4910, $9050, $6375, and $4275. Use these data to test the claim that the mean cost of a 6mph crash is different from $5000. Use a 5% level of significance.<BR>\n" );
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document.write( " A) state the null and alternative hypothesis<BR>\n" );
document.write( "Ho: u = 5000<BR>\n" );
document.write( "Ha: u # 5000 (claim)<BR>\n" );
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document.write( "B) identify the critical value(s),<BR>\n" );
document.write( "Since n < 30 use a t value::<BR>\n" );
document.write( "t =  +/- 2.7765<BR>\n" );
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document.write( "C) calculate the test statistic,<BR>\n" );
document.write( "mean of the sample = 6418 ; s = 1931.55<BR>\n" );
document.write( "t(6418) = (6418-5000)/[1931.55/sqrt(5)] = 1.6415<BR>\n" );
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document.write( "D) make a decision to reject the null hypothesis or not, and<BR>\n" );
document.write( "Because the test stat is not in the reject interval, fail to <BR>\n" );
document.write( "reject Ho at the 5% level of significance.<BR>\n" );
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document.write( "E) state a full conclusion in the context of the problem.<BR>\n" );
document.write( "The test results do not support the claim that u is different<BR>\n" );
document.write( "than 5000.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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