document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184016>Question 1184016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A business management student states that each MBA student is obligate to prepare more than 5 essays per week. To test his claim a professor of statistics from his university selected a random sample of 10 MBA students and asked them how many essays should be prepared every week. The sample mean (𝑋̅) number of essays that should be prepared every week is 6. Can professor conclude with a significance level of 0.05 that the claim is true, if the number of essays per week is normally distributed with standard deviation 𝜎=1,5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814613 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D%3A++mu+=+5 ALIGN=MIDDLE  ALT=\"H%5B0%5D%3A++mu+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Ba%5D%3A++mu+%3E+5 ALIGN=MIDDLE  ALT=\"H%5Ba%5D%3A++mu+%3E+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use a one-tailed z-test since it is known prior that underlying population is normally distributed with a known standard deviation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma+=+1.5 ALIGN=MIDDLE  ALT=\"sigma+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28%28X-bar%29+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29+=++%286+-+5%29%2F%281.5%2Fsqrt%2810%29%29+=+2.108 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> p-value = 0.018 < 0.05 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence, reject the null hypothesis and conclude that the number of essays per week may have already increased from 5. </SPAN>\n" );
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