document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677098>Question 677098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with this problem? Thanks in advance because I am really lost on how to do this problem.\r<BR>\n" );
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document.write( "A researcher claims that the average age of people who buy theatre tickets is 43. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 6. At a = 0.01 is there enough evidence to reject the researcher’s claim?  Show all work. <BR>\n" );
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document.write( "43 45 62 45 52 36 42 37 59 37 69 39 40 46 42 <BR>\n" );
document.write( "47 41 37 70 43 79 41 38 45 37 35 40 39 37 36\r<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 #420691 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=420691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A researcher claims that the average age of people who buy theatre tickets is 43. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 6. At a = 0.01 is there enough evidence to reject the researcher’s claim? Show all work. \r<BR>\n" );
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document.write( "43 45 62 45 52 36 42 37 59 37 69 39 40 46 42 <BR>\n" );
document.write( "47 41 37 70 43 79 41 38 45 37 35 40 39 37 36 <BR>\n" );
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document.write( "The mean of that sample = 45.3<BR>\n" );
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document.write( "Hypothesis Test:<BR>\n" );
document.write( "Ho: u = 43 (claim)<BR>\n" );
document.write( "Ha: u is not equal to 43 <BR>\n" );
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document.write( "Rule: Reject Ho if the test statistic is < -2.5857 or is > +2.5857<BR>\n" );
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document.write( "test statistic:  z(45.3) = (45.3-45)/6 = 0.3/6 = 0.05<BR>\n" );
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document.write( "Critical values for alpha = 0.01:: z = +-2.5758<BR>\n" );
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document.write( "Since the test stat is not in the reject interval, <BR>\n" );
document.write( "fail to reject Ho.<BR>\n" );
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document.write( "The test results support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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