document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153094>Question 153094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this.\r<BR>\n" );
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document.write( "Recently the national average yield on municipal bonds has been u=4.19%.  A random sample of 16 Arizona municipal bonds gave an average yield of 5.11% with a sample standard deviation s= 1.15%.  does this indicate that the population mean yield for all Arizona municipal bonds is greater than the national average?  Us a= 0.05.  Assume x is normally distributed.\r<BR>\n" );
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document.write( "a) state the null and alternate hypothesis.\r<BR>\n" );
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document.write( "b) indentify the sampling distribution to be used.  the standard normal distribution or the student's T distribution.  find the critical value (s).  \r<BR>\n" );
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document.write( "c) compute the z or t value of the sample test statistic.\r<BR>\n" );
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document.write( "d) find the P value or an interval containing the P value for the sample test statistic.  \r<BR>\n" );
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document.write( "e) Based on your answers to A through D, decide whether or not to reject the null hypothesis at the ficen significance level.  Explain your conclusion in the context of the problem.\r<BR>\n" );
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document.write( "thank you <BR>\n" );
document.write( "carol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112656 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=112656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recently the national average yield on municipal bonds has been u=4.19%. A random sample of 16 Arizona municipal bonds gave an average yield of 5.11% with a sample standard deviation s= 1.15%. does this indicate that the population mean yield for all Arizona municipal bonds is greater than the national average? Us a= 0.05. Assume x is normally distributed.<BR>\n" );
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document.write( "a) state the null and alternate hypothesis.<BR>\n" );
document.write( "Ho: u = 4.19<BR>\n" );
document.write( "Ha: u > 4.19<BR>\n" );
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document.write( "b) identify the sampling distribution to be used. the standard normal<BR>\n" );
document.write( " distribution or the student's T distribution. find the critical value (s).<BR>\n" );
document.write( "Ans: T-distribution with df= 15;<BR>\n" );
document.write( "critical value = 1.753<BR>\n" );
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document.write( "c) compute the z or t value of the sample test statistic.<BR>\n" );
document.write( "t(5.11) = (5.11-4.19)/[1.15/sqrt(16)] = 3.2<BR>\n" );
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document.write( "d) find the P value or an interval containing the P value for the sample test statistic.<BR>\n" );
document.write( "P(3.2 < t < 100) with df=15 = 0.002982...<BR>\n" );
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document.write( "e) Based on your answers to A through D, decide whether or not to reject the null hypothesis at the ficen significance level. Explain your conclusion in the context of the problem. <BR>\n" );
document.write( "Ans: Since the p-value is less than 5% and less than 1% we reject Ho.<BR>\n" );
document.write( "The national average yield on municipal bonds is greater than 4.19% <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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