document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914957>Question 914957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 40 sales receipts from a grocery store has x = $137 and s = $30.2. Assist the <BR>\n" );
document.write( "owner of the grocery store to these values to test, at the 5% level of significance, whether <BR>\n" );
document.write( "or not the mean sales at the grocery store is different from $150.<BR>\n" );
document.write( "(a) State the null and alternative hypotheses for the test.<BR>\n" );
document.write( "(b) Calculate the test statistics.<BR>\n" );
document.write( "(c) Determine the rejection region(s) for the test.<BR>\n" );
document.write( "(d) State the conclusion for the test giving reasons for your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555367 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=555367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: u = 150 <BR>\n" );
document.write( "Ha: u < 150 (claim)<BR>\n" );
document.write( "sample mean (n = 40) = 137, s = 30.20 <BR>\n" );
document.write( "z(137) = (137-150)/30.20/sqrt(40) = -2.7225<BR>\n" );
document.write( "normalcdf(-100,-2.7225) = .003<BR>\n" );
document.write( "5% level of significance...<BR>\n" );
document.write( ".003 < .05, reject Ho.<BR>\n" );
document.write( " The test results support the claim.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );