document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003538>Question 1003538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 100 observations from a population with standard deviation 28.51 yielded a sample mean of 94.9.\r<BR>\n" );
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document.write( "1. Given that the null hypothesis is &#956;=90 and the alternative hypothesis is &#956;>90 using &#945;=.05, find the following: <BR>\n" );
document.write( "(a) Test statistic = <BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) P - value: \r<BR>\n" );
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document.write( "2. Given that the null hypothesis is &#956;=90 and the alternative hypothesis is &#956;&#8800;90 using &#945;=.05, find the following: <BR>\n" );
document.write( "(a) Test statistic = <BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) P - value </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620234 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=620234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A random sample of 100 observations from a population with standard deviation 28.51 yielded a sample mean of 94.9. <BR>\n" );
document.write( "1. Given that the null hypothesis is &#956;=90 <BR>\n" );
document.write( "and the alternative hypothesis is &#956;>90 using &#945;=.05, find the following: <BR>\n" );
document.write( "(a) Test statistic::<BR>\n" );
document.write( "z(94.9) = (94.9-90)/(28.51/sqrt(100) =  1.7190.<BR>\n" );
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document.write( "(b) P - value::<BR>\n" );
document.write( "P-value = P(z > 1.719 ) = normalcdf(1.719,100) = 0.0428<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "2. Given that the null hypothesis is &#956;=90 and the alternative hypothesis is &#956;&#8800;90 using &#945;=.05, find the following: <BR>\n" );
document.write( "(a) Test statistic::<BR>\n" );
document.write( "z(94.9) = 1.719<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "(b) P - value::<BR>\n" );
document.write( "p-value = 2*P(z > 1.719) = 0.0856<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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