document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119301>Question 1119301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The director of state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. <BR>\n" );
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document.write( "a.	State the appropriate null and alternative hypotheses.\r<BR>\n" );
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document.write( "b.	Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the critical value <BR>\n" );
document.write( "(stated in dollars)?\r<BR>\n" );
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document.write( "c.	Referring to your answer in part b, what conclusion should be reached with respect to the null hypothesis?\r<BR>\n" );
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document.write( "d.	Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain.\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 #734846 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=734846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The director of state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. \r<BR>\n" );
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document.write( "a.	State the appropriate null and alternative hypotheses.<BR>\n" );
document.write( "Ho: u >= 30,000<BR>\n" );
document.write( "Ha: u < 30,000<BR>\n" );
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document.write( "b.	Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the critical value <BR>\n" );
document.write( "(stated in dollars)?<BR>\n" );
document.write( "z(29,750) = (29750-30000)/(2500/sqrt(100)) = -1<BR>\n" );
document.write( "critical value:: -1*2500+30000 = $27,500<BR>\n" );
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document.write( "c.	Referring to your answer in part b, what conclusion should be reached with respect to the null hypothesis?<BR>\n" );
document.write( "Ans: Fail to reject Ho<BR>\n" );
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document.write( "d.	Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain.<BR>\n" );
document.write( "Ans: Type I Error<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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