document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638192>Question 638192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample is selected from a normal population. The population mean is &#956;=60 and the population standard deviation is &#963;=15. After a treatment is given to the members of the sample, the sample mean is M=65. The sample size is n=25.<BR>\n" );
document.write( "A)The Hypothesis Test: a=0.05<BR>\n" );
document.write( "Ho: &#956;=60<BR>\n" );
document.write( "H1: &#956;<>60\r<BR>\n" );
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document.write( "B) SE[M]<BR>\n" );
document.write( "C) Z\r<BR>\n" );
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document.write( "D)  Is the sample mean sufficient to conclude that the treatment has a significant effect?  Give reasons for your decision.<BR>\n" );
document.write( "E)  If the size of the sample was changed to n = 16, would the sample mean be sufficient to conclude that the treatment has a significant effect?  Give reasons for your decision.\r<BR>\n" );
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document.write( "I'm confused on what it is asking does it want me to choose abc or I don't know.<BR>\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402064 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=402064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two Tailed Test<BR>\n" );
document.write( "H0: µ = 60<BR>\n" );
document.write( "H1: µ &#8800; 60\r<BR>\n" );
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document.write( "z Test<BR>\n" );
document.write( "Test Statistic, z: 1.6667<BR>\n" );
document.write( "Critical Value :        ±1.96<BR>\n" );
document.write( "SE(M) = 3<BR>\n" );
document.write( "P-Value:           0.0956\r<BR>\n" );
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document.write( "Fail to Reject the Null Hypothesis because the p-value is greater than 0.05.<BR>\n" );
document.write( "Sample does not provide enough evidence to conclude that the treatment has a significant effect.\r<BR>\n" );
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document.write( "z Test<BR>\n" );
document.write( "IF SAMPLE SIZE WAS CHANGED TO N =16 THEN<BR>\n" );
document.write( "Test Statistic, z: 1.3333<BR>\n" );
document.write( "Critical Value:        ±1.96<BR>\n" );
document.write( "SE(M) =  3.75<BR>\n" );
document.write( "P-Value:           0.1824\r<BR>\n" );
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document.write( "SAME DECISION AS ABOVE BECAUSE THE P-VALUE IS GREATER THAN 0.05.\r<BR>\n" );
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