document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933923>Question 933923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Country A, the population mean height for 3-year old boys is 39 inches. Suppose a random sample of 15 3-year old boys from Country B showed a sample mean of 38.8 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. \r<BR>\n" );
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document.write( "A. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. \r<BR>\n" );
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document.write( "Which of the following correctly states H0 and Ha? \r<BR>\n" );
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document.write( "A. H0: u = 39 <BR>\n" );
document.write( "Ha: u<39 \r<BR>\n" );
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document.write( "B. H0: u less than or equal to 39 <BR>\n" );
document.write( "Ha: u <39 <BR>\n" );
document.write( "C. H0: u = 39 <BR>\n" );
document.write( "Ha: u >39 <BR>\n" );
document.write( "D. H0: u = 39 <BR>\n" );
document.write( "Ha: u does not equal 39 <BR>\n" );
document.write( "E. H0: u does not equal 39 <BR>\n" );
document.write( "Ha: u = 39 <BR>\n" );
document.write( "F. H0: u > 39 <BR>\n" );
document.write( "Ha: u is less than or equal to 30 \r<BR>\n" );
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document.write( "Find the test statistic \r<BR>\n" );
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document.write( "t= (type an integer or decimal rounded to two decimal places as needed) \r<BR>\n" );
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document.write( "Find the p-value \r<BR>\n" );
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document.write( "p = (type an integer or decimal rounded to two decimal places as needed) \r<BR>\n" );
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document.write( "Reject or do not reject H0? \r<BR>\n" );
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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 #567118 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=567118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  H0: u = 39 <BR>\n" );
document.write( " Ha: u<39 <BR>\n" );
document.write( "......<BR>\n" );
document.write( "Sample of 15 Statistics: mean of 38.8\", standard deviation = 2 inches<BR>\n" );
document.write( "....<BR>\n" );
document.write( "test stat: z = -.2/(2/sqrt(15)) = -.39 rounded<BR>\n" );
document.write( "p(z < -.39) = .35 rounded<BR>\n" );
document.write( "......<BR>\n" );
document.write( "significance level of 0.05. (critical value z = -1.64 rounded)<BR>\n" );
document.write( ".......<BR>\n" );
document.write( ".35 > .05<BR>\n" );
document.write( "Do not reject Ho.<BR>\n" );
document.write( "......<BR>\n" );
document.write( "For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  <BR>\n" );
document.write( ".35 the Area under the standard normal curve to the left of z = -.39<BR>\n" );
document.write( "Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right<BR>\n" );
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document.write( " </SPAN>\n" );
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