document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152990>Question 152990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test the hypothesis that the average age of the students in the following group is 35.\r<BR>\n" );
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document.write( "Student #	  Age<BR>\n" );
document.write( "1............     37<BR>\n" );
document.write( "2............     43<BR>\n" );
document.write( "3............     22<BR>\n" );
document.write( "4............     36<BR>\n" );
document.write( "5............     35<BR>\n" );
document.write( "6............     28<BR>\n" );
document.write( "7............     44<BR>\n" );
document.write( "8............     33<BR>\n" );
document.write( "9............     26<BR>\n" );
document.write( "10...........     36<BR>\n" );
document.write( "11...........     21<BR>\n" );
document.write( "12............    53<BR>\n" );
document.write( "13............    38<BR>\n" );
document.write( "14............    44<BR>\n" );
document.write( "15............    31\r<BR>\n" );
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document.write( "Develop a problem statement \r<BR>\n" );
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document.write( "What is the average age of the students in the following group?\r<BR>\n" );
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document.write( "Create the hypothesis, null and alternate based on the problem statement\r<BR>\n" );
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document.write( "Decide on one- or two-tailed test\r<BR>\n" );
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document.write( "Develop the decision criteria, significance level, and critical value (if the P-value is not used)\r<BR>\n" );
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document.write( "Calculate the test statistic\r<BR>\n" );
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document.write( "What is the decision of the null hypothesis?\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 #112561 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=112561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Test the hypothesis that the average age of the students in the following group is 35. \r<BR>\n" );
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document.write( "Student # Age<BR>\n" );
document.write( "1............ 37<BR>\n" );
document.write( "2............ 43<BR>\n" );
document.write( "3............ 22<BR>\n" );
document.write( "4............ 36<BR>\n" );
document.write( "5............ 35<BR>\n" );
document.write( "6............ 28<BR>\n" );
document.write( "7............ 44<BR>\n" );
document.write( "8............ 33<BR>\n" );
document.write( "9............ 26<BR>\n" );
document.write( "10........... 36<BR>\n" );
document.write( "11........... 21<BR>\n" );
document.write( "12............ 53<BR>\n" );
document.write( "13............ 38<BR>\n" );
document.write( "14............ 44<BR>\n" );
document.write( "15............ 31 \r<BR>\n" );
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document.write( "Develop a problem statement <BR>\n" );
document.write( "What is the average age of the students in the following group?<BR>\n" );
document.write( "Add the ages and divide by 15 to get 35.133333<BR>\n" );
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document.write( "Create the hypothesis, null and alternate based on the problem statement <BR>\n" );
document.write( "Decide on one- or two-tailed test <BR>\n" );
document.write( "Ho: u = 35<BR>\n" );
document.write( "Ha: u is not equal to 35<BR>\n" );
document.write( "Two-tailed test because Ha is \"not equal to\".<BR>\n" );
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document.write( "Develop the decision criteria, significance level, and critical value (if the P-value is not used)<BR>\n" );
document.write( "Let alpha = 5%; then the critical values with df of 14 are t = +/- 2.145 <BR>\n" );
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document.write( "Calculate the test statistic:<BR>\n" );
document.write( "t(35.133333..) = (35.133333 - 35)/[8.78016/sqrt(15)] = 0.058814...<BR>\n" );
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document.write( "What is the decision of the null hypothesis? <BR>\n" );
document.write( "Since the test statistic does not fall in the rejection interval,<BR>\n" );
document.write( "fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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