document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051028>Question 1051028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this:\r<BR>\n" );
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document.write( "Assume the population is normally distributed.  Given a sample size of 225, with sample mean of 750 and standard deviation of 30, we perform the following hypothesis test.<BR>\n" );
document.write( "	 H_0: &#956;=745<BR>\n" );
document.write( "         H_a: &#956;&#8800;745\r<BR>\n" );
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document.write( "Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?\r<BR>\n" );
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document.write( " What is the test statistic? (Show work and round the answer to three decimal places)\r<BR>\n" );
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document.write( " What is the p-value? (Show work and round the answer to two decimal places. If you use technology to find the P-value, you have to describe the steps)\r<BR>\n" );
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document.write( " What is your conclusion of the test at the &#945; = 0.1005 level? Why? (Show work)\r<BR>\n" );
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document.write( "I appreciate your time, 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 #666680 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because H_a contains not equal, we use a two-tailed test<BR>\n" );
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document.write( "The test is for population mean and we can use the Normal distribution since<BR>\n" );
document.write( "we are given that the population is normally distributed and the sample size is > 30<BR>\n" );
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document.write( "we use the standard error of the mean to calculate the test statistic<BR>\n" );
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document.write( "sample size is 225, the square root of 225 = 15, then<BR>\n" );
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document.write( "standard error of the mean = 30 / 15 = 2<BR>\n" );
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document.write( "test statistic is z = (745 - 750) / 2 = -2.500<BR>\n" );
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document.write( "significance level is 0.1005 and we use the absolute value of the z-score<BR>\n" );
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document.write( "The p-value associated with 2.500 is 1 - 0.9938 = 0.0062<BR>\n" );
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document.write( "Since this is a two-tailed test we multiply by 2 = 0.0124 2-tailed p-value<BR>\n" );
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document.write( "Since 0.0125 is less than 0.1005, we reject H_0<BR>\n" );
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