document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197693>Question 1197693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:\r<BR>\n" );
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document.write( "Grades	68.4	96	69	65	62.7	88	74.4	69	69	85.5\r<BR>\n" );
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document.write( "Test grades are believed to be normally distributed.\r<BR>\n" );
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document.write( "Use a significance level of 5%.<BR>\n" );
document.write( "State the mean of the sample:<BR>\n" );
document.write( "State the standard error of the sample means:<BR>\n" );
document.write( "State the test statistic: t=<BR>\n" );
document.write( "State the p-value:<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 #831083 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=831083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:  µ = 65<BR>\n" );
document.write( "Ha:  µ > 65<BR>\n" );
document.write( "n = 10, x̄ = 74.7    s = 11.1682<BR>\n" );
document.write( "0.05 significance level,  Critical value = 1.8331<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=blue+%2874.7+-+65%29%2F%28blue%2811.1682%29%2Fsqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"t+=blue+%2874.7+-+65%29%2F%28blue%2811.1682%29%2Fsqrt%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.7466 <BR>\n" );
document.write( " 2.7466 >  1.8331  Reject Ho<BR>\n" );
document.write( " IF P(z ≤ t-value) < .05 THEN reject Ho </SPAN>\n" );
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