document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911838>Question 911838</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 owner of the grocery store to these values to test, at the 5% level of significance, whether 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.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553390 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=553390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: p = 150<BR>\n" );
document.write( "Ha: p < 150(claim)<BR>\n" );
document.write( "n = 40, xbar = 137, sd = 30.2<BR>\n" );
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document.write( "test stat:: z(137) = (137-150)/(30.2/sqrt[40]) = -2.7225<BR>\n" );
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document.write( "p-value = P(z < -2.7225) = 0.0032  0r .32%<BR>\n" );
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document.write( "Conclusiion: <BR>\n" );
document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
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