document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171574>Question 171574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I NEED URGENT HELP WITH THESE TWO QUESTIONS. MY STEPS WERE CORRECT BUT CALCULATIONS ARE WRONG. I WANT TO REVIEW FOR MY FINALS. ALL TUTOR YOU ARE WELCOME TO ANSWER. PAID OR NOT. THANKS A BUNCH! I NEED EXPLAINED SOLUTIONS.\r<BR>\n" );
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document.write( "SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question. <BR>\n" );
document.write( "Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and &#64257;nal conclusion that addresses the original claim. <BR>\n" );
document.write( "6) The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9  lb. Assuming that ! is known to be 121.2 lb, use a 0.10 signi&#64257;cance level to test the claim that the population mean of all such employees <BR>\n" );
document.write( "weights is less than 200 lb. \r<BR>\n" );
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document.write( "Test the given claim using the traditional method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution. <BR>\n" );
document.write( "7) A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-&#64257;ve job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. Use a 0.05 level of signi&#64257;cance to test the claim that this sample comes from a population with a mean score greater than 160. <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 #126765 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=126765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6) The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that ! is known to be 121.2 lb, use a 0.10 signi&#64257;cance level to test the claim that the population mean of all such employees <BR>\n" );
document.write( "weights is less than 200 lb. <BR>\n" );
document.write( "Ho: mu >= 200<BR>\n" );
document.write( "Ha: mu < 200<BR>\n" );
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document.write( "n= 54; s = 121.2, x-bar = 183.9, alpha = 0.10<BR>\n" );
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document.write( "If you use a z-test you get:<BR>\n" );
document.write( "test statistic = -0.97516.. and p-value=0.164493...<BR>\n" );
document.write( "Conclusion: Since p>10%, Fail to reject Ho.<BR>\n" );
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document.write( "If you use a t-test you get:<BR>\n" );
document.write( "test statistic = -0.976158... and p-value = 0.1667104<BR>\n" );
document.write( "so you would still \"Fail to Reject Ho\".<BR>\n" );
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document.write( "Test the given claim using the traditional method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution. <BR>\n" );
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document.write( "7) A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-&#64257;ve job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. Use a 0.05 level of signi&#64257;cance to test the claim that this sample comes from a population with a mean score greater than 160. <BR>\n" );
document.write( "Ho: u = 160<BR>\n" );
document.write( "Ha: u > 160<BR>\n" );
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document.write( "n=25; sample mean = 183, s=12, alpha = 5%<BR>\n" );
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document.write( "z-test results: test statistic = 9.583333... p-value = 1.0000<BR>\n" );
document.write( "since p is greater than 5%, Fail to reject Ho.<BR>\n" );
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document.write( "t-test results: test stat= 9.58333; p-value = 0.9999999<BR>\n" );
document.write( "Conclusion: same as z-test<BR>\n" );
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document.write( "Comment: I have a feeling that your posted data for the 2nd<BR>\n" );
document.write( "question is not accurate. Is that standard deviation really 12?<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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