document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057939>Question 1057939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have partially solved the below hypothesis test, but I am stuck.  Below is the data set.\r<BR>\n" );
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document.write( "In this dataset you will find the amount spent for a dinner at the newest restaurant in town to be an average of  $30.59.   You, as researchers, have taken a sample from this dataset and have different results.    Please conduct a hypothesis test to demonstrate if the original hypothesis is correct.\r<BR>\n" );
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document.write( "CUSTOMER	AMOUNT SPENT<BR>\n" );
document.write( "1	$15.05<BR>\n" );
document.write( "2	$35.06<BR>\n" );
document.write( "3	$21.25<BR>\n" );
document.write( "4	$22.60<BR>\n" );
document.write( "5	$27.00<BR>\n" );
document.write( "6	$18.65<BR>\n" );
document.write( "7	$19.45<BR>\n" );
document.write( "8	$32.45<BR>\n" );
document.write( "9	$41.28<BR>\n" );
document.write( "10	$26.54<BR>\n" );
document.write( "11	$32.21<BR>\n" );
document.write( "12	$25.45<BR>\n" );
document.write( "13	$15.91<BR>\n" );
document.write( "14	$64.54<BR>\n" );
document.write( "15	$23.58<BR>\n" );
document.write( "16	$75.81<BR>\n" );
document.write( "17	$45.25<BR>\n" );
document.write( "18	$32.51<BR>\n" );
document.write( "19	$24.50<BR>\n" );
document.write( "20	$35.10<BR>\n" );
document.write( "21	$26.58<BR>\n" );
document.write( "22	$45.00<BR>\n" );
document.write( "23	$21.00<BR>\n" );
document.write( "24	$15.61<BR>\n" );
document.write( "25	$23.25<BR>\n" );
document.write( "26	$24.65<BR>\n" );
document.write( "27	$21.45<BR>\n" );
document.write( "28	$19.51<BR>\n" );
document.write( "29	$36.52<BR>\n" );
document.write( "30	$25.41<BR>\n" );
document.write( "31	$10.25<BR>\n" );
document.write( "32	$32.45<BR>\n" );
document.write( "33	$47.25<BR>\n" );
document.write( "34	$15.91<BR>\n" );
document.write( "35	$32.25<BR>\n" );
document.write( "36	$45.51<BR>\n" );
document.write( "37	$12.25<BR>\n" );
document.write( "38	$36.45<BR>\n" );
document.write( "39	$12.00<BR>\n" );
document.write( "40	$20.00<BR>\n" );
document.write( "41	$21.25<BR>\n" );
document.write( "42	$32.61<BR>\n" );
document.write( "43	$45.54<BR>\n" );
document.write( "44	$26.54<BR>\n" );
document.write( "45	$45.67<BR>\n" );
document.write( "46	$65.58<BR>\n" );
document.write( "47	$18.91<BR>\n" );
document.write( "48	$19.54<BR>\n" );
document.write( "49	$65.54\r<BR>\n" );
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document.write( "Below is my random sample data set.  It is for 30 customers. \r<BR>\n" );
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document.write( "CUSTOMER	AMOUNT SPENT<BR>\n" );
document.write( "13	$15.91<BR>\n" );
document.write( "42	$32.61<BR>\n" );
document.write( "24	$15.61<BR>\n" );
document.write( "40	$20.00<BR>\n" );
document.write( "25	$23.25<BR>\n" );
document.write( "9	$41.28<BR>\n" );
document.write( "16	$75.81<BR>\n" );
document.write( "32	$32.45<BR>\n" );
document.write( "31	$10.25<BR>\n" );
document.write( "47	$18.91<BR>\n" );
document.write( "22	$45.00<BR>\n" );
document.write( "38	$36.45<BR>\n" );
document.write( "10	$26.54<BR>\n" );
document.write( "19	$24.50<BR>\n" );
document.write( "21	$26.58<BR>\n" );
document.write( "28	$19.51<BR>\n" );
document.write( "2	$35.06<BR>\n" );
document.write( "30	$25.41<BR>\n" );
document.write( "4	$22.60<BR>\n" );
document.write( "27	$21.45<BR>\n" );
document.write( "41	$21.25<BR>\n" );
document.write( "12	$25.45<BR>\n" );
document.write( "49	$65.54<BR>\n" );
document.write( "36	$45.51<BR>\n" );
document.write( "7	$19.45<BR>\n" );
document.write( "33	$47.25<BR>\n" );
document.write( "37	$12.25<BR>\n" );
document.write( "20	$35.10<BR>\n" );
document.write( "5	$27.00<BR>\n" );
document.write( "8	$32.45\r<BR>\n" );
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document.write( "I believe the Null Hypothesis  is:  H0: &#956; = $30.59\r<BR>\n" );
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document.write( "I believe the alternative is: H1: &#119883; &#773; < $30.59 \r<BR>\n" );
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document.write( "I can't seem to calculate the test statistic, and therefore I cannot make my conclusion of rejecting the HO or fail to reject the HO.\r<BR>\n" );
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document.write( "Please help.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672946 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=672946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Below is my random sample data set. It is for 30 customers. <BR>\n" );
document.write( "CUSTOMER	AMOUNT SPENT<BR>\n" );
document.write( "13	$15.91<BR>\n" );
document.write( "42	$32.61<BR>\n" );
document.write( "24	$15.61<BR>\n" );
document.write( "40	$20.00<BR>\n" );
document.write( "25	$23.25<BR>\n" );
document.write( "9	$41.28<BR>\n" );
document.write( "16	$75.81<BR>\n" );
document.write( "32	$32.45<BR>\n" );
document.write( "31	$10.25<BR>\n" );
document.write( "47	$18.91<BR>\n" );
document.write( "22	$45.00<BR>\n" );
document.write( "38	$36.45<BR>\n" );
document.write( "10	$26.54<BR>\n" );
document.write( "19	$24.50<BR>\n" );
document.write( "21	$26.58<BR>\n" );
document.write( "28	$19.51<BR>\n" );
document.write( "2	$35.06<BR>\n" );
document.write( "30	$25.41<BR>\n" );
document.write( "4	$22.60<BR>\n" );
document.write( "27	$21.45<BR>\n" );
document.write( "41	$21.25<BR>\n" );
document.write( "12	$25.45<BR>\n" );
document.write( "49	$65.54<BR>\n" );
document.write( "36	$45.51<BR>\n" );
document.write( "7	$19.45<BR>\n" );
document.write( "33	$47.25<BR>\n" );
document.write( "37	$12.25<BR>\n" );
document.write( "20	$35.10<BR>\n" );
document.write( "5	$27.00<BR>\n" );
document.write( "8	$32.45 \r<BR>\n" );
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document.write( "I believe the Null Hypothesis is: <BR>\n" );
document.write( "Ho: &#956; = $30.59<BR>\n" );
document.write( "Ha: u # $30.59 <BR>\n" );
document.write( "Sample Mean is the mean of your sample :: 29.35<BR>\n" );
document.write( "Find the standard deviation of your sample.<BR>\n" );
document.write( "Find the z-value (or t-value if your class uses t-tests); this is<BR>\n" );
document.write( "the test statistic.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Assume this is a 95% test.<BR>\n" );
document.write( "Find the p-value<BR>\n" );
document.write( "If 2*(p-value) < 5%  reject Ho.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );