document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380537>Question 380537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello¡ I am sorry, but i really need help with this problem. i have no idea of how to do it... Thank you very much.\r<BR>\n" );
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document.write( "Exercise 1:<BR>\n" );
document.write( "A pharmaceutical company is concerned that the impurity concentration in pills does not exceed 2%. It is known that from a particular production run, impurity concentrations follow a normal distribution with standard deviation 0.3%. A random simple of 64 pills from a production run was checked and the sample mean impurity concentration was found to be 2.06%.<BR>\n" );
document.write( "a)Test at the 5% level the null hypothesis that the population mean impurity concentration is 3%.<BR>\n" );
document.write( "b)Find the probability of a 5%-level test rejecting the null hypothesis when the true mean impurity concentration is 2.10%.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270134 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=270134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pharmaceutical company is concerned that the impurity concentration in pills does not exceed 2%.<BR>\n" );
document.write( "It is known that from a particular production run, impurity concentrations follow a normal distribution with standard deviation 0.3%. <BR>\n" );
document.write( "A random simple of 64 pills from a production run was checked and the sample mean impurity concentration was found to be 2.06%.<BR>\n" );
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document.write( "a)Test at the 5% level the null hypothesis that the population mean impurity concentration is 3%.<BR>\n" );
document.write( "Ho: p = 0.03<BR>\n" );
document.write( "Ha: p is not equal to 0.03<BR>\n" );
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document.write( "Critial Values: z = +-1.96<BR>\n" );
document.write( "Test Statistic: z(0.026) = (0.026-0.03)*sqrt[0.03*0.97/64) = -0.1878<BR>\n" );
document.write( "Since the test stat is not less than -1.96 (reject interval) fail to<BR>\n" );
document.write( "reject Ho.<BR>\n" );
document.write( "Conclusion: The test supports the claim that the mean impurity concentration<BR>\n" );
document.write( "level is 3% at the 5% significance level.<BR>\n" );
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document.write( "b)Find the probability of a 5%-level test rejecting the null hypothesis when the true mean impurity concentration is 2.10%.<BR>\n" );
document.write( "I'll look at this.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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