document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633911>Question 633911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9.  At a<BR>\n" );
document.write( "= 0.05 is there enough evidence to reject the researcher’s claim?   Show all work.<BR>\n" );
document.write( " <BR>\n" );
document.write( "49<BR>\n" );
document.write( "63<BR>\n" );
document.write( "90<BR>\n" );
document.write( "52<BR>\n" );
document.write( "22<BR>\n" );
document.write( "80<BR>\n" );
document.write( "72<BR>\n" );
document.write( "56<BR>\n" );
document.write( "82<BR>\n" );
document.write( "56<BR>\n" );
document.write( "24<BR>\n" );
document.write( "46<BR>\n" );
document.write( "70<BR>\n" );
document.write( "74<BR>\n" );
document.write( "70<BR>\n" );
document.write( "61<BR>\n" );
document.write( "65<BR>\n" );
document.write( "71<BR>\n" );
document.write( "39<BR>\n" );
document.write( "74<BR>\n" );
document.write( "79<BR>\n" );
document.write( "76<BR>\n" );
document.write( "71<BR>\n" );
document.write( "49<BR>\n" );
document.write( "62<BR>\n" );
document.write( "68<BR>\n" );
document.write( "71<BR>\n" );
document.write( "67<BR>\n" );
document.write( "69<BR>\n" );
document.write( "45<BR>\n" );
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 #399268 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Null Hypothesis:         µ = 64 (Claim)<BR>\n" );
document.write( "Alternative Hypothesis:  µ &#8800; 64<BR>\n" );
document.write( "t Test, df = 29<BR>\n" );
document.write( "Test Statistic, t: -0.5338<BR>\n" );
document.write( "Critical t:        ±2.0452<BR>\n" );
document.write( "P-Value:           0.5976\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Fail to Reject the Null Hypothesis<BR>\n" );
document.write( "Sample does not provide enough evidence to reject the claim that the average age of people who buy lottery tickets is 64.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );