document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192240>Question 1192240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Average Senior high school annual cost of tuition fee for all private schools last year was 46, 300. A random sample cost this year for 45 private schools indicated that the sample of mean was 47,800 and a sample standard deviation was 5,600. At the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824178 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=824178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assumption that sd of sample is unbiased estimator of the population<BR>\n" );
document.write( "Ho: mean is 46300<BR>\n" );
document.write( "Ha: mean is not 46300<BR>\n" );
document.write( "alpha=0.10 p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t (df=44)<BR>\n" );
document.write( "critical value is |t|>1.301<BR>\n" );
document.write( "calculation t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=1500*sqrt(45)/5600<BR>\n" );
document.write( "=1.80<BR>\n" );
document.write( "reject Ho, and we can conclude there is a difference and there has been an increase, p-value=0.08\r<BR>\n" );
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